Algebra and Trigonometry: Real Mathematics, Real People (7th Edition)
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; Solve the equation for . ; Substitute the ... more
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; Assume the amount in fund is and amount in ... more
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; Solve the equation for . ; Substitute the ... more
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No Real solution ; Solve the equation for . ; ... more
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; Solve the equation for . ; Enter the ... more
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; Let be the number of bottles.Find the total ... more
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No, because the equations have no real solutions... more
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System ; A system of equations is a group of two ... more
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Solution ; The solution of a system is an ordered ... more
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Substitution ; To solve a system of equations by ... more
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solution ; The solution is the point of ... more
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Break-even point ; Break-even point is the point ... more
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When the graph of two equations of the system does... more
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; Solve the given equation (1) for . ; Substitute... more
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; Solve the equation (1) for . ; Substitute the ... more
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, ; Solve the equation (1) for . ; Substitute the ... more
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, ; Solve the equation (1) for . ; Substitute the ... more
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; Rearrange the equation 1 for . ; Substitute the... more
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; Rearrange the equation 1 for . ; Substitute the... more
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; Rearrange the equation 1 for . ; Substitute the... more
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; Substitute the value of from equation 2 into ... more
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; Solve the first equation for . ; Substitute ... more
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; Solve the equation for . ; Substitute the ... more
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; Rearrange the equation 1 for ; Substitute the ... more
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; Rearrange the equation 1 for . ; Substitute the... more
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; Multiply the equation 1 on both sides by 10 and... more
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No solution ; Multiply the equation 1 by to both... more
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; Multiply the equation 1 by 10 and solve for... more
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; Multiply both sides of the equation 1 by 4 and ... more
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No solution ; Multiply the equation (1) by and ... more
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; Multiply the equation by and solve for . ; ... more
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4%: 20002%: 16,00 ; Let the amount funded by be... more
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6%: 10,0003%: 8,000 ; Let the amount funded by be... more
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: 3,500: 14,500 ; Let the amount funded by be ... more
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: 5,400: 12,600 ; Let the amount funded by be ... more
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, ; Solve equation (2) for . ; Substitute the ... more
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, ; Solve quation (2) for . ; Substitute the value... more
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No real solution ; Solve equation (2) for . ; ... more
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No real solution ; Solve equation (2) for . ; ... more
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, , ; Solve equation (2) for . ; Substitute the ... more
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; Substitute for from equation (1) into ... more
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; Solve the equation for . ; Solve the equation... more
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No solution ; Solve the equation for . ; Solve ... more
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; Solve the equation for . ; Solve the equation... more
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; Solve the equation for . ; Solve the equation... more
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No solution ; Solve the equation for . ; Solve ... more
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; Solve the equation for . ; Solve the equation... more
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; Solve the equation for . ; Solve the equation... more
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; Solve the equation for . ; Solve the equation... more
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; Solve the equation for . ; Solve the equation... more
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; Solve the equation for . ; Solve the equation... more
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; Label the given equations. ; Rearrange the ... more
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; Label the equations. ; Rearrange the equation 1... more
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; Label the given equations. ; Rearrange equation... more
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; Label the given equations. ; Rearrange equation... more
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; Label the given equations. ; Rearrange ... more
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; Label the given equations. ; Rearrange ... more
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; Label the given equations. ; ; Rearrange ... more
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; Label the given equations. ; ; Rearrange ... more
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; Label the given equations. ; Enter the ... more
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; Label the given equations. ; Rearrange the ... more
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; Label the given equations. ; Rearrange the ... more
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; Solve both the equations for . ; Enter the ... more
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Algebraic method gives direct results by putting ... more
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No real solutionAlgebraically the method gives ... more
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Algebraic method gives direct results by putting ... more
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Algebraic method gives direct results by putting ... more
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No real solutionAlgebraic method gives direct ... more
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No real solutionAlgebraic method gives direct ... more
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Algebraic method gives direct results by putting ... more
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Algebraic method gives direct results by putting ... more
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Graphical method is a simple method to solve ... more
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Graphical method is a simple method to solve ... more
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Algebraic method gives direct results by putting ... more
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Algebraic method gives direct results by putting ... more
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No real solutionAlgebraic method gives direct ... more
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Algebraic method gives direct results by putting ... more
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192 units ; Enter the function, and into the ... more
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233,333 units ; Enter the function, and into ... more
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3133 units ; Enter the function, and into the ... more
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1464 units ; Enter the function, and into the ... more
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; Suppose be the length of the rectangle and be... more
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; Suppose be the length of the rectangle and be... more
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; Let be the total sales.Form the system of ... more
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; Suppose be the length and be the width.Form ... more
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Base: ; height: ; Suppose be the one side, ... more
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False, to solve a system of equations, first, by ... more
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False; There can be more than two solutions ... more
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There is no solution when , and have different ... more
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; Let a system of equations which has the ... more
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; Find the slope using the formula, of the two ... more
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; Substitute 3 for , 3 for , 10 for , and 6 for ... more
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is a vertical line and cannot be written in the ... more
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; Find the slope using the formula, of the two ... more
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Domain: all real numbers except 6Vertical ... more
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Domain: Vertical asymptote: Horizontal asymptote... more
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Domain: All real number except Vertical ... more
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Domain: All real number except Vertical ... more
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Domain: All real number Horizontal asymptotes: ; ... more
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Domain: All real number Horizontal asymptotes: ; ... more
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Elimination method ; Assume Find the value of in... more
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; The coefficients of differ only in sign, ... more
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; Multiply by 5 and by to obtain like ... more
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No solutionInconsistent ; Rewrite the system of ... more
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No solution ; Multiply with 2 to obtain like ... more
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Infinitely many solutions ; Multiply by to make ... more
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; Consider,is the speed of the plane.is the speed... more
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Nothing is wrong. ; Rewrite the system of linear ... more
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MethodElimination ; The elimination method is ... more
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Equivalent ; When the system of linear equations ... more
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A system of linear equations with no solution ... more
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A system of linear equations with at least one ... more
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Yes ; If the two lines coincide with each other, ... more
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Nothing is wrong. ; Rewrite the system of linear... more
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; Obtain the coefficients with different signs by... more
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; Perform addition of the given equations. ; ... more
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(a)Infinitely many solutionsConsistent ; Rewrite ... more
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; Obtain the coefficients with different signs by... more
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(d)No solutionInconsistent ; Rewrite the given ... more
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; Obtain the coefficients with different signs by... more
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(c)One solutionConsistent ; Rewrite the given ... more
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No solution ; Obtain the coefficients with ... more
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Infinitely many solutions ; Obtain the ... more
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; The coefficients of differ only in sign, ... more
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; The coefficients of differ only in sign, ... more
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; Multiply by 3 to obtain like coefficients of ... more
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; Obtain the coefficients with different signs by... more
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; Multiply by to obtain like coefficients of ... more
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; Multiply by to obtain like coefficients of ... more
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; Multiply by and by 5 to obtain like ... more
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; Multiply by 2 and by 3 to obtain like ... more
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; Multiply by 4 and by 6 to obtain like ... more
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; Multiply by and by 9 to obtain like ... more
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Inconsistent ; Multiply by 5 to obtain like ... more
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; Multiply by .to obtain like coefficients of ... more
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; Multiply by 4 and by 3 to obtain like ... more
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Infinitely many solutions. ; Multiply by 2 to ... more
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(a)Infinitely many solutionsConsistent ; Graph the... more
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(d)No solutionInconsistent ; Graph the given two ... more
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(c)Exactly one solutionConsistent ; Graph the ... more
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The graph is as follows, ; Obtain the coefficients... more
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The graph is as follows, ; Obtain the coefficients... more
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Inconsistent, no solutionThe graph is as follows... more
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Infinitely many solutionsThe graph is as follows... more
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Infinitely many solutionsThe graph is as follows... more
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No solution.The graph is as follows, ; Obtain ... more
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The graph is as follows, ; Simplify the first ... more
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The graph is as follows, ; Simplify the first ... more
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Infinitely many solutions.The graph is as follows... more
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Inconsistent.The graph is as follows, ; Obtain ... more
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Inconsistent.No solution.The graph is as follows... more
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Infinitely many solutionsThe graph is as follows... more
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; Label the given equations. ; Make the ... more
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; Label the two equations. ; Make the ... more
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\(\left\{ {\left( { - 1,1} \right)} \right\} ; ... more
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; Label the two given equations. ; Add equations... more
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Consistent: ; Rewrite the system of the linear ... more
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Inconsistent; No solution ; Rewrite the system of ... more
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Consistent: All points on the line . ; Rewrite the... more
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Consistent; ; Rewrite the system of the linear ... more
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Inconsistent ; Rewrite the system of the linear ... more
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Consistent: All points on the line ; Rewrite the ... more
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; Rewrite the system of linear equations into ... more
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; Rewrite the system of linear equation into ... more
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Rewrite the equations in the slope-intercept form... more
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Rewrite the equations in the slope intercept form... more
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; Rewrite the equations in the slope intercept ... more
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; Rewrite the equations in the slope intercept ... more
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; Rewrite the equations in the slope intercept ... more
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; Rewrite the equations in the slope intercept ... more
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; Multiply by and by 3 to obtain the like ... more
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; Multiply by to obtain like coefficients of ... more
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; Multiply by to obtain like coefficients of ... more
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; Substitute the value of in . ; Use the ... more
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; Multiply by to obtain like coefficients of ... more
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; Multiply by to obtain like coefficients of ... more
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; Substitute the value of in . ; Use the ... more
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; Multiply by 5 and by 4 to obtain like ... more
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; Substitute the values and in . ; Solve for... more
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; Substitute the values and in . ; Solve for... more
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; Substitute the values and in . ; Solve for... more
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; Substitute the values and in . ; Solve for... more
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; Equate the equations of demand and supply to ... more
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; Equate the equations of demand and supply to ... more
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; Equate the equations of demand and supply to ... more
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; Equate the equations of demand and supply to ... more
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; Consider,is the speed of the plane.is the speed... more
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; ; Consider,is the speed of the boat.is the speed... more
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9 oranges7 grapefruits ; Consider that is the ... more
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300 calories cheese burgers230 calories french ... more
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Yes170 pairs of shoes and 80 pairs of shoes sold... more
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; Obtain the coefficients with different signs by... more
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; Obtain the coefficients with different signs by... more
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; Obtain the coefficients with different signs by... more
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; Obtain the coefficients with different signs by... more
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True ; A consistent system of linear equations can... more
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True ; If in a system of linear equations two ... more
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False, the graphing utility also estimates an ... more
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Not possible because if the system of linear ... more
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; Obtain the coefficients with different signs by... more
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; Obtain the coefficients with different signs by... more
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; Add to each side of the given inequality and ... more
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; Add 10 to each part of the given inequality and... more
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; Rewrite the given inequality in double ... more
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; The inequality is true for all values of as ... more
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; Factor the inequality. ; ; Find the critical ... more
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; Divide both sides by 3. ; Factor the expression... more
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; Simplify the expression using the identity, .... more
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; Use the power property for natural logarithm... more
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; Simplify the expression using the product ... more
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; Use the power property of logarithms with the ... more
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; Use the power property for natural logarithm... more
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; Use the power property for natural logarithm... more
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; Label the given equation. ; Substitute 3 for ... more
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; Label the given equation ; Since the leading ... more
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Inconsistent ; Since the leading coefficient in ... more
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; Label the given equation. ; Since the leading ... more
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; Since the leading coefficient in the first ... more
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; The expression is a proper fraction, so ... more
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; The expression is proper, so factorize the ... more
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: ; : 20; : 100 ; Substitute 1, 2, and 3 for nto ... more
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; Substitute 0, 3, and 6 for into the given ... more
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The problem is that the constant numerators and ... more
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Row-echelon ; A “stair-step” pattern with leading... more
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Ordered triple ; An ordered triple is the ... more
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Gaussian ; The system of equations can be solved ... more
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Non-square ; If the number of equations differs ... more
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Three-dimensional ; A 3-dimensional coordinate ... more
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Partial fraction decomposition ; Partial fraction ... more
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A consistent system can be an independent or ... more
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A system of equations either consistent or ... more
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; Label the equations as 1, 2, and 3. ; ... more
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; Label the given equation. ; Substitute for ... more
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; Label the given equation. ; Substitute 2 for ... more
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; Label the given equation ; Substitute for ... more
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; Label the given equation. ; Substitute 11 for ... more
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; Label the given equation. ; Substitute for ... more
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; On adding equation 1 and equation 2, the ... more
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; On adding times equation 1 to equation 3, the ... more
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123 ; Since the coefficient of in equation 1 is a... more
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51 ; Since the coefficient of in the first ... more
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85 ; Divide the first equation by 2. ; Subtract 5 ... more
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; Divide the first equation by 2 to make 1 as the... more
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; Divide the first equation by 4.Subtract the ... more
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Inconsistent ; Divide the first equation by five.... more
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Inconsistent ; Divide the first equation by three... more
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; Label the three given equations. ; Subtract ... more
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; Divide the first equation by 3. ; Subtract ... more
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; Divide the first equation by 2. ; Subtract the ... more
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; Divide the first equation by 3. ; Subtract the ... more
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Inconsistent ; Divide the first equation by .... more
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Inconsistent ; Subtract thrice the first equation... more
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; Subtract 4 times of the first equation from the... more
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; Subtract the second equation from the first ... more
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Inconsistent ; Divide the first equation by three... more
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Inconsistent ; Subtract the first equation from ... more
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; Label the three given equations. ; Subtract ... more
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; Subtract four times the first equation from the... more
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; Divide the first equation by 2. ; Add the ... more
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; Divide the equation 1 by 12 to generate new ... more
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; Divide the equation (1) by 10. ; Subtract 19 ... more
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; Observe that with the given numbers, the ... more
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; Observe that with the given numbers, the ... more
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; Observe that with the given numbers, the ... more
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; Observe that with the given numbers, the ... more
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; Add the given points to form the first equation... more
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; Add the given points to form the first equation... more
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; ; ; ; Substitute 0 for and into the given ... more
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, , , ; Substitute 0 for and into the given ... more
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, , , . ; Substitute 0 for and into the given ... more
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, , , ; Substitute 0 for and into the given ... more
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; The expression is a proper fraction. Factorize ... more
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; The expression is a proper fraction. Factorize ... more
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; The fraction is proper. Factorize the ... more
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; The fraction is proper. Factorize the ... more
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; The factor given in the denominator is a cubic ... more
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; The fraction is proper. Since the denominator ... more
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; The fraction is proper. Since the denominator ... more
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; The fraction is proper. Since the denominator ... more
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; Factor the expression in the denominator. ; ... more
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Factor the expression in the denominator. ; Use a ... more
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; Factor the expression in the denominator. ; Use... more
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; Factor the expression in the denominator. ; Use... more
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; Factor the expression in the denominator. ; Use... more
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; Factor the expression in the denominator. ; Use... more
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; Write the given rational expression as the sum ... more
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; Write the given rational expression as the sum ... more
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; The given rational expression is an improper ... more
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; The given rational expression is an improper ... more
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; The given rational expression is an improper ... more
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Perform division. ; Use the partial fraction to ... more
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; Factor the denominator of the given proper ... more
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; The given rational expression is a proper ... more
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Vertical asymptotes of the rational function and ... more
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Vertical asymptotes of the rational function and ... more
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; Substitute 1 for and 128 for into the given ... more
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; Substitute 1 for and 32 for into the given ... more
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; Substitute 1 for and 352 for into the given ... more
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; Substitute 1, 2, 3 for into the given position... more
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; Form a system of equations by entering the ... more
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; Form the system of equations by entering the ... more
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; Form the system of equations by entering the ... more
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Form the system of equations by entering the pair ... more
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; Form the system of equations by entering the ... more
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; Form the system of equations by entering the ... more
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; The circle passes through the given points, ... more
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; Form the system of equations by entering the ... more
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4% :$20,000; 6% : $2500; 8% :$7500 ; Let be the ... more
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8% : $300,000; 9% : $400,000: 10%: $75,000 ; Let ... more
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Certificate of deposit: ; municipal bonds: ; blue-... more
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Certificate of deposit: ; municipal bonds: ; blue-... more
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Number of free throws: 10; Number of two-point ... more
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Par-3 holes: 4; Par-4 holes: 10; Par-5 holes: 4 ; ... more
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: 1 amperes; : 2 amperes; : 1 amperes ; Label the ... more
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, , ; Subtract two times of the first equation ... more
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; ; ; ; Label the given equations. ; Divide ... more
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; ; ; ; Label the given equations. ; Divide ... more
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; ; ; ; Label the given equations. ; Divide both ... more
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; ; ; ; Label the equations. ; Divide equation (1... more
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; Factor the denominator. ; Write the partial ... more
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False; The leading coefficient of the second ... more
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TrueThe system of three linear equations has no ... more
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No, the problem is not worked correctly. Divide ... more
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Not equivalent as there are two arithmetic errors... more
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; Substitute the values of and into the ... more
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; Assume that a system of equations has three ... more
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A system of equations has no solution if, upon ... more
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; ; ; Label the given equations. ; Subtract ... more
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: 2; : 2; : ; Label the given equations. ; Find ... more
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; Add 3 on both sides of the equation. ; Divide ... more
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; ; Add 2 to both sides. ; Divide both sides of ... more
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; The dimension of the matrix is given as ,... more
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; The given system of linear equations is ... more
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; Add times the first row to the second row of ... more
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; ; ; The given system of linear equations is ... more
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The matrix is in row-echelon form. The matrix is ... more
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; ; ; The given system of linear equations is ... more
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No solution. ; The given system of linear ... more
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; The given system of linear equations is ... more
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is the solution set of equations. ; The given ... more
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Matrix ; To solve the system of linear equations... more
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reduced row-echelon ; A matrix is in reduced row-... more
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Gauss-Jordan elimination ; The Gauss-Jordan ... more
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Yes ; Write the coefficient matrix for the given... more
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No ; Write the augmented matrix of the given ... more
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Yes ; The augmented matrix is converted to the ... more
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; The dimension of the matrix is given as ,... more
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; The dimension of the matrix is given as , ... more
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; The dimension of the matrix is given as , ... more
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; The dimension of the matrix is given as ,... more
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; The dimension of the matrix is given as ,... more
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; The dimension of the matrix is given as ,... more
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; The given system of linear equations is ... more
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; The given system of linear equations is ... more
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; The given system of linear equations is ... more
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; The given system of linear equations is ... more
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; The given system of linear equations is ... more
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; The given system of linear equations is ... more
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; Write the system of linear equations with ... more
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; Write the system of linear equations with the... more
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; Write the system of linear equations with the ... more
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; Write the system of linear equations with the ... more
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Multiply the first row by . ; The new row ... more
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Perform the operation . ; In the original matrix... more
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Perform the expression . ; In the original matrix... more
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Interchange the first row with the second row. ; ... more
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; For the original matrix, perform operation ... more
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; For the original matrix, perform the ... more
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; Add times the first row to the second row and... more
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; Interchange the first row with the second row.... more
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; Press 2nd and to enter the matrix menu of the ... more
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; Press 2nd and to enter the matrix menu of the ... more
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The matrix is in row-echelon form. The matrix is ... more
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The matrix is in row-echelon form. The matrix is ... more
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The matrix is not in row-echelon form. The matrix ... more
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The matrix is in row-echelon form. The matrix is ... more
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The matrix is in row-echelon form. The matrix is ... more
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The matrix is not in row-echelon form.The matrix ... more
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; Add times of the first row to the second row ... more
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; Add times of the first row to the second row ... more
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; Add times of the first row to the second row ... more
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; Multiply the first row by 3 and add it to the ... more
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; Enter the augmented matrix into the CAS. ; Use ... more
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; Enter the augmented matrix into the CAS. ; Use ... more
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; Enter the augmented matrix into the CAS. ; Use ... more
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; Enter the augmented matrix into the CAS. ; Use ... more
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; The given matrix is in row-echelon form. So, ... more
Verified Answer ✓
; Since the given matrix is in row-echelon form... more
Verified Answer ✓
; Since the given matrix is in row-echelon form, ... more
Verified Answer ✓
; Since the given matrix is in row-echelon form, ... more
Verified Answer ✓
(7,-5) ; Convert the row-reduced echelon form to a... more
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( - 2,4) ; Convert the row-reduced echelon to a ... more
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( - 4, - 8,2) ; Convert the row-reduced echelon ... more
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(3, - 1,0) ; Convert the row-reduced echelon to a... more
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; Write the system of linear equation as an ... more
Verified Answer ✓
; Write the system of linear equation as an ... more
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Inconsistent ; Write the augmented matrix from ... more
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Inconsistent ; Write the augmented matrix from ... more
Verified Answer ✓
; Write the system of the linear equation as an ... more
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No solution ; Write the system of linear ... more
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; Write the system of linear equation in the form... more
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; Write the system of the linear equation into ... more
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; Write the system of linear equations in the ... more
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; Write the system of linear equation in the ... more
Verified Answer ✓
Inconsistent ; Write the system of linear ... more
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; Write the system of linear equation in the form... more
Verified Answer ✓
; Write the system of linear equations in the ... more
Verified Answer ✓
; Since the given system of linear equation is ... more
Verified Answer ✓
; Since the given system of linear equation is ... more
Verified Answer ✓
; Since the given system of linear equation is ... more
Verified Answer ✓
; Enter the augmented matrix into the CAS. ; Use... more
Verified Answer ✓
; Enter the augmented matrix into the CAS. ; Use ... more
Verified Answer ✓
; Enter the augmented matrix into the graphing ... more
Verified Answer ✓
: 1; : 0; : 4; : ; Enter the augmented matrix into... more
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; Substitute the value of and in the ... more
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; Substitute the value of and in the quadratic ... more
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; Substitute the value of and in the quadratic ... more
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; Substitute the value of and in the quadratic ... more
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; Substitute for into the given quadratic ... more
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; Substitute for into the given quadratic ... more
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; Substitute for into the given quadratic ... more
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; Substitute for into the given cubic function.... more
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amperesamperes amperes ; Write the augmented ... more
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; Let be the amount borrowed at .Let be the ... more
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$1 bills: 15; $5 bills: 8; $10 bills: 2; $20 bills... more
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Glossy: 50 pounds; Semi-glossy: 35 pounds; Matte: ... more
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; Form a basic equation by multiplying the LCD... more
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TrueBefore writing the augmented matrix in row ... more
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False, is a reduced row echelon form of a ... more
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; Add the first row to the second row to obtain ... more
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No, because it may have more than one solution. ; ... more
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; Form a table for the values of for different ... more
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Horizontal asymptote: ; Form a table for the ... more
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Slant asymptote: Vertical asymptote: ; Use the ... more
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Slant asymptote: Vertical asymptote: ; Use the ... more
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, , , ; The two matrices are said to be equal, if ... more
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; To compute the sum of the two matrices, add the... more
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; Multiply the given scalar with each element of ... more
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; Multiply matrix by 3. ; ; Multiply matrix ... more
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; Apply the distributive property. ; Perform ... more
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; Solve the given equation for . ; Substitute the... more
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; Since the number of columns of matrix is equal... more
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; The dimension of matrix is and the dimension ... more
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; Enter the given matrix into the graphing ... more
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; Write the list of equipment (E) in the matrix ... more
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The entries of matrix are the additive inverses ... more
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: ; : ; : ; : The given matrices follow ... more
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Equal ; Consider matrix and . The matrices are ... more
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Scalars ; When working with matrices, real ... more
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Zero ; A matrix consisting of entirely of zeros is... more
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Identity ; A matrix consisting of 1 (ones) in ... more
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is the associative property of scalar ... more
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is the left distributive property. If a matrix is... more
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No ; Consider the matrices and .From the ... more
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; Since matrix is of dimension and matrix is ... more
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: 5; : ; Equate the entries of both the matrices.... more
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: 13; : 12 ; Equate the entries of both the ... more
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; Compare the corresponding values of the ... more
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; Compare the corresponding values of the ... more
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; Add the corresponding entries of the first two... more
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; Add the corresponding entries of the first two... more
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; Apply the distributive property. ; Perform ... more
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; Apply the distributive property. ; Perform ... more
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approx. ; Multiply the scalar with each entry in ... more
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; Multiply the scalar with each entry in the ... more
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; Multiply the scalar with each entry in the ... more
Verified Answer ✓
; Use the distributive property of matrices. ; ... more
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; Solve the given equation for . ; Substitute the... more
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; Solve the given equation for . ; Substitute the... more
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; Solve the given equation for X. ; Substitute ... more
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; Solve the given equation for . ; Substitute ... more
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; Since the number of columns of matrix is equal... more
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; Since the number of columns of matrix is equal... more
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; The number of columns of matrix is equal to ... more
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; The number of columns of matrix is equal to ... more
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; Since the number of columns of matrix is equal... more
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; Since the number of columns of matrix is equal... more
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; Enter the matrices A and B in CAS. ; To ... more
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; Enter the matrices in CAS. ; To multiply the ... more
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Not defined ; The multiplication of matrices ... more
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; Enter the matrices in CAS. ; To multiply the ... more
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; Enter the matrices in CAS. ; To multiply the ... more
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; Enter the matrices in the CAS. ; Solve the ... more
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; Enter the matrices in the CAS. ; Solve the ... more
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; Enter the matrices in CAS. ; Enter in CAS, ... more
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; Enter the matrices in CAS. ; Enter in CAS, ... more
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; Calculate of the production level. ; Calculate... more
Verified Answer ✓
; Calculate of the production level. ; Calculate... more
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; Calculate of the production level. ; Calculate... more
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; Calculate of the rates. ; Calculate the ... more
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The entries in the matrix represent the labor ... more
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; Compute by the matrix multiplication.For ... more
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; Compute by the matrix multiplication.... more
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As the power of increases, the obtained matrix ... more
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True ; Two matrices can be added only when they ... more
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False ; Consider the left side and perform matrix... more
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Not possible ; Not possible because the matrices A... more
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Not possible ; Not possible because the matrices A... more
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; Since matrix is of dimension and matrix is ... more
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; Since matrix is of dimension and matrix is ... more
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; Matrices and are of equal dimensions of and ... more
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; Matrices and are of equal dimensions of and ... more
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Compute .Compute .Compute .To compute , multiply ... more
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Entire Proof Answer: Compute from the given ... more
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Compute .Compute .It can be concluded that . ; ... more
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The product of two diagonal matrices of the same ... more
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; Solve the expression by using the logarithmic ... more
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; Solve the expression by using the logarithmic ... more
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To show B is the inverse of A , show that , where ... more
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; Solve the matrix equation AX=I for where . ; ... more
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; Adjoin the identity matrix to to form the ... more
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; Use the formula for the inverse of a matrix to... more
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; ; ; Write the given system of equations in the ... more
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The product of matrices and is equal to the ... more
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For and to be invertible matrices, the inverse ... more
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The graphing utility displays “ERR: SINGULAR MAT” ... more
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Inverse ; For example,Consider the matrix be ... more
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NonsingularSingular ; Only square matrices are ... more
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No, for an inverse, square matrix must be ... more
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Yes, if A and B are square matrices then, . ; ... more
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To show B is the inverse of A , show that , where ... more
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Entire Proof Answer: To show B is the inverse of A... more
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To show B is the inverse of A , show that , where... more
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To show B is the inverse of A , show that , where ... more
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Entire Proof Answer: To show B is the inverse of A... more
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Entire Proof Answer: To show B is the inverse of A... more
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; Solve the matrix equation for where,. ; ; ... more
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; Solve the matrix equation for , where . ; ; ... more
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; Consider the given matrix to be .Solve the ... more
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Inverse does not exist. ; The given matrix is of ... more
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; Consider the given matrix to be .Solve the ... more
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The inverse does not exist. ; Consider the given ... more
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; Consider the given matrix to be .Adjoin the ... more
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; Consider the given matrix to be .Adjoin the ... more
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The inverse does not exist. ; Consider the given ... more
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; Enter the given matrix into the CAS to evaluate... more
Verified Answer ✓
; Enter the given matrix into the CAS to evaluate... more
Verified Answer ✓
; Enter the given matrix into the CAS to evaluate... more
Verified Answer ✓
The inverse does not exist ; Enter the given ... more
Verified Answer ✓
; Enter the given matrix into the CAS to evaluate... more
Verified Answer ✓
; Enter the given matrix into the CAS to evaluate... more
Verified Answer ✓
The inverse does not exist ; Enter the given ... more
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; Enter the given matrix into the CAS to evaluate... more
Verified Answer ✓
Inverse does not exist. ; Use the formula for the ... more
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; Use the formula for the inverse of a matrix to... more
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; Use the formula for the inverse of a matrix to... more
Verified Answer ✓
The inverse does not exist. ; Consider the given ... more
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; Use the formula for the inverse of a matrix to... more
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; Use the formula for the inverse of a matrix to... more
Verified Answer ✓
; For , should satisfy the condition . Thus, ... more
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; For , should satisfy the condition . Thus, ... more
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, ; Write the given system of equations in the ... more
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, ; Write the given system of equations in the ... more
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, ; Write the given system of equations in the ... more
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, ; Write the given system of equations in the ... more
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, , ; Write the given system of equations in the ... more
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; Write the given system of equations in the ... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the ... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the ... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the ... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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100 100100 ; Let , , and represent the number of ... more
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50300 50 ; Let , , and represent the number of ... more
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True; ; The multiplication of an invertible ... more
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; The product of two inverse matrices is always ... more
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False; Only square matrices are nonsingular. ; A ... more
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The inverse of a matrix exists if and only if , ... more
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The system of linear equations is represented by... more
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Entire Proof Answer: The multiplication of with ... more
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exists if . ; For a matrix with the inverse is ... more
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; Write the equation in quadratic form. ; ... more
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; Write the equation in quadratic form. ; ... more
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; Multiply both sides of the equation by . ; ... more
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; Exponentiate each side of the equation. ; Use ... more
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ERR: INVALID DIMDeterminant is defined only for ... more
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Verified Answer ✓
; Enter the matrix into the CAS to obtain the ... more
Verified Answer ✓
Minors: ; Cofactors: ; Delete the first row and ... more
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; Delete the first row and first column of matrix... more
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Determinant ; The determinant of matrix with ... more
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Minor ; Consider the determinant of a square ... more
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; Consider the minor of the square matrix . ... more
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No, there is no need to find all the cofactors in ... more
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4 ; Denote the matrix with . Since the determinant... more
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; Denote the matrix with .Since the determinant ... more
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32 ; Write the determinant of the given matrix as... more
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; Write the determinant of the given matrix as... more
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; Write the determinant of the given matrix as... more
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0 ; Write the determinant of the given matrix as... more
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; Write the determinant of the given matrix as... more
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31 ; Write the determinant of the given matrix as... more
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; Enter the matrix into the CAS to obtain the ... more
Verified Answer ✓
; Enter the matrix into the CAS to obtain the ... more
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; Enter the matrix into the CAS to obtain the ... more
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; Enter the matrix into the CAS to obtain the ... more
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; If , the value of , there will be no need to ... more
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; If , the value of , therefore there will be no ... more
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0 ; If , the value of , there will be no need to ... more
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0 ; If , the value of , there will be no need to ... more
Verified Answer ✓
; If , the value of , there will be no need to ... more
Verified Answer ✓
; If , the value of , there will be no need to ... more
Verified Answer ✓
; If , the value of , there will be no need to ... more
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; If , the value of , there will be no need to ... more
Verified Answer ✓
; Find the determinant of the matrix by expanding... more
Verified Answer ✓
; Find the determinant of the matrix by expanding... more
Verified Answer ✓
; Enter the matrix into the CAS to obtain the ... more
Verified Answer ✓
7441 ; Enter the matrix into the CAS to obtain ... more
Verified Answer ✓
566 ; Enter the matrix into the CAS to obtain the... more
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; Enter the matrix into the CAS to obtain the ... more
Verified Answer ✓
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Verified Answer ✓
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Verified Answer ✓
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Entire Proof Answer: Compute the determinant of ... more
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Entire Proof Answer: For the left side matrix,For ... more
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Entire Proof Answer: For the left side matrix.For... more
Verified Answer ✓
Entire Proof Answer: For the left side.Since the ... more
Verified Answer ✓
; Expand the cofactors in the first column. ; ... more
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; Expand the cofactors in the first row. ; Find ... more
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; Compute the determinant of the matrix on the ... more
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; Compute the determinant of the matrix on the ... more
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; Compute the determinant of the matrix on the ... more
Verified Answer ✓
; Compute the determinant of the matrix on the ... more
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; Compute the determinant of the matrix on the ... more
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; Compute the determinant of the matrix on the ... more
Verified Answer ✓
; Compute the determinant of the matrix on the ... more
Verified Answer ✓
; Compute the determinant of the matrix on the ... more
Verified Answer ✓
; Compute the determinant of the matrix on the ... more
Verified Answer ✓
; Compute the determinant of the matrix on the ... more
Verified Answer ✓
3 ; Expand the cofactors in the first row.Find the... more
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8 ; Find the determinant by expanding the ... more
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; Denote the matrix by . ; Compute the ... more
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; Denote the matrix by . ; Compute the ... more
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; Denote the matrix by . ; Compute the ... more
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; Denote the matrix by . ; Compute the ... more
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; Denote the matrix by . ; Compute the ... more
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; Denote the matrix by . ; Compute the ... more
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TrueThe determinant of a matrix is determined by ... more
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TrueOn simplifying any square matrix whose two ... more
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A: ; B: ; Let the matrix A be .If , the value of... more
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Yescan be used to find . ; Consider to be the ... more
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Since row 3 contains all zeros, the determinant ... more
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The determinant of a matrix is calculated as In ... more
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0 ; Enter the matrix in the graphing utility. ... more
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; Observe that the first and the last term of the... more
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; Observe that the first and the last term of the... more
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; Rearrange the equation in terms of . ; ... more
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; Rearrange the equation for . ; Solve for by ... more
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9 square units ; Assume that , , and . Represent ... more
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Collinear ; Assume that , , and . Represent the ... more
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; Evaluate the determinant of the coefficient ... more
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; Use the system of linear equations to ... more
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; Divide the message into a group of three which ... more
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110 25 23 47 149... more
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; Adjoint the identity matrix to to form the ... more
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Cramer's rule ; To find the solution of the system... more
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Cryptogram ; A cryptogram is a technique in which ... more
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; If the coordinates represent the vertices of ... more
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The points are collinear. ; If the value of the ... more
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square units ; Assume that , , and . Represent the... more
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28 square units ; Assume that , , and . Represent ... more
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square units ; Assume that , , and . Represent the... more
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square units ; Assume that , , and . Represent the... more
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24 square units ; Divide the given figure into two... more
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54 square units ; Divide the given figure into two... more
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; Assume that , , and . Represent the values in ... more
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; Assume that , , and . Represent the values in ... more
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Collinear ; Assume that , , and . Represent the ... more
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Not collinear ; Assume that , , and . Represent ... more
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Not collinear ; Assume that , , and . Represent ... more
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Collinear ; Assume that , , and . Represent the ... more
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; Assume that , , and . Represent the values in ... more
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; Assume that , , and . Represent the values in ... more
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; Evaluate the determinant of the coefficient ... more
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No solution. ; Evaluate the determinant of the ... more
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; Evaluate the determinant of the coefficient ... more
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; Evaluate the determinant of the coefficient ... more
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No solution ; Use the system of linear equations ... more
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; Use the system of linear equations to ... more
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; Apply the formula, , to obtain the inverse of ... more
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; Adjoin the identity matrix to to form the ... more
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CANCEL ORDERS SUE ; Let the matrix be . Multiply ... more
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MEET ME TONIGHT RON ; Let the matrix be . Multiply... more
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TrueIf the determinant is zero, then the solution ... more
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FalseIf the value of the determinant is zero, the... more
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The method involves the partitioning of the ... more
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Two such methods are the point-slope form and ... more
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; Compute the value of the slope by substituting... more
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; Compute the value of the slope by substituting... more
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; Compute the value of the slope by substituting... more
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; Compute the value of the slope by substituting... more
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; Solve the first equation for . ; Substitute the... more
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; Solve the first equation for . ; Substitute the... more
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No solution ; Use the first equation to solve for... more
Verified Answer ✓
; Use the distributive property, and then divide ... more
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; Use the first equation to solve for . ; ; ... more
Verified Answer ✓
; Use the first equation to Multiply by five on ... more
Verified Answer ✓
; Use the second equation to solve for . ; ; ... more
Verified Answer ✓
; ; ; Use the second equation to solve for . ; ... more
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, , , ; Substitute for in the equation, and ... more
Verified Answer ✓
No real solution ; Substitute for in the second... more
Verified Answer ✓
; Label the two given equations. ; Solve the ... more
Verified Answer ✓
; abel the two given equations. ; Solve the ... more
Verified Answer ✓
; Label the two given equations. ; Solve the ... more
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; Enter the equations, and , into the graphing ... more
Verified Answer ✓
; Label the two given equations. ; Enter the ... more
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; Label the two given equations by 1 and 2. ; ... more
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; Suppose is the number of plants.The total cost... more
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Greater than or equal to 600,000 ; Consider to be... more
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; Consider to be the length of the rectangle and... more
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; Suppose to be the length of the rectangle and ... more
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; The coefficients of differ only in sign, thus... more
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; The coefficients of differ only in sign, thus... more
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; To obtain the same coefficients with different ... more
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; To obtain the same coefficients with different ... more
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Infinitely many solutions ; Label the given system... more
Verified Answer ✓
; Multiplying the first equation by to obtain ... more
Verified Answer ✓
; Use the distributive property in the second ... more
Verified Answer ✓
No solution ; Use the distributive property in the... more
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No solution ; Multiply the first equation by to ... more
Verified Answer ✓
Infinitely many solutions; ; Multiply the first ... more
Verified Answer ✓
Consistent; ; Rewrite the system of the linear ... more
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Consistent; Infinitely many solutions ; Rewrite ... more
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Inconsistent ; Rewrite the system of the linear ... more
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Inconsistent ; Rewrite the system of the linear ... more
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Consistent; Infinitely many solutions ; Rewrite ... more
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Consistent; ; Rewrite the system of the linear ... more
Verified Answer ✓
; Multiply the second equation by 20 to obtain ... more
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; Multiply the first equation by 2 to obtain the ... more
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miles per hour; miles per hour ; Let be the ... more
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; Let be the amount invested at and be the ... more
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; Label all the equations. ; Substitute for ... more
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; Label all the equations. ; Substitute for ... more
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; Label all the equations.Multiply equation (1) ... more
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; Label all the equations.Add equation (1) to ... more
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; Label all the equations. ; Multiply equation (1... more
Verified Answer ✓
; Divide the first equation by 2. ; Subtract ... more
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; Subtract twice the first equation from the ... more
Verified Answer ✓
; Subtract twice the first equation from the ... more
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; Divide the first equation by 5. ; Subtract ... more
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; Divide the first equation by 2. ; Subtract ... more
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, , , and ; Substitute 0 for and into the given ... more
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, , , and ; Substitute 0 for and into the given... more
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; Factor the denominator of the given proper ... more
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; Factor the denominator of the given proper ... more
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; Factor the denominator of the given proper ... more
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; Divide the expression since the power in the ... more
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; Factor the denominator of the given proper ... more
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; Factor the denominator of the given proper ... more
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; Form the system of equations by entering the ... more
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; Form the system of equations by entering the ... more
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4105 ; Let the number of par-3 holes, par-4 holes... more
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$16000$13000$11000 ; Let the amount invested at 7... more
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; The dimensions of a matrix are determined by ... more
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; The dimensions of a matrix are determined by ... more
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; The dimensions of a matrix are determined by ... more
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; The dimensions of the matrix are determined by ... more
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; Since the given system of linear equations is ... more
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; Since the given system of linear equations is ... more
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; Since the given system of linear equations is ... more
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; Since the given system of linear equations is ... more
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; Write the system of linear equations in the ... more
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; Write the system of linear equations using the ... more
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; Multiply the first row by . ; Add times the ... more
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; Interchange the first row with the second row... more
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; Interchange the first row with the second row... more
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; Multiply the first row by . ; Add -3 times of ... more
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; Enter the augmented matrix into CAS. ; Use the ... more
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; Enter the augmented matrix into CAS. ; Use the ... more
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; Enter the augmented matrix into CAS. ; Use the ... more
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; Enter the augmented matrix into CAS. ; Use the ... more
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; Write the given system of equations as an ... more
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; Write the given system of equations as an ... more
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Inconsistent system ; Write the system of linear ... more
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; Write the augmented matrix for the given linear... more
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; Write the given matrix as an augmented matrix... more
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Inconsistent system; No solution ; Write the ... more
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; The given matrix is already in the row-echelon ... more
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; Write the augmented matrix using the system of... more
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; Write the augmented matrix using the system of ... more
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; Write the augmented matrix using the system of ... more
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; Write the augmented matrix using the system of... more
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; Write the augmented matrix using the system of ... more
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Inconsistent ; Write the augmented matrix using ... more
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; Write the augmented matrix from the system of ... more
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; Write the augmented matrix using the system of ... more
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Inconsistent ; Write the augmented matrix from the... more
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; Enter the augmented matrix in the graphing ... more
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; Enter the augmented matrix in the graphing ... more
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Inconsistent; No solution ; Enter the augmented ... more
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; Enter the augmented matrix into the CAS. ; Use... more
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; The two matrices are said to be equal if their ... more
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; The two matrices are said to be equal if their ... more
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; Compare the corresponding values of the matrix ... more
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; Compare the corresponding values of the matrix ... more
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; Multiply each entry in the matrix by the scalar... more
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; Multiply each entry in the matrices by the ... more
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; Apply the distributive property of matrices. ; ... more
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; Subtract the corresponding entries of the ... more
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; Enter the matrices in the CAS. ; Multiply the ... more
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; Enter the matrices in the CAS. ; Multiply the ... more
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; To solve the given equation for X, divide both ... more
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; Solve the given equation for X. ; Substitute ... more
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; Solve the given equation for X. ; Substitute ... more
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; Solve the given equation for X. ; Substitute ... more
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; Since the number of columns of matrix A is same... more
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; Since the number of columns of matrix A is same... more
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Product not possible ; Dimensions of matrix A and ... more
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Product not possible ; Dimensions of matrix A and ... more
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; Enter the matrices in the CAS. ; Multiply the ... more
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; Enter the matrices in the CAS. ; Multiply the ... more
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; Enter the matrices in the CAS. ; Multiply the ... more
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; Enter the matrices in the CAS. ; Multiply the ... more
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Determine the product .Determine the product .From... more
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Entire Proof Answer:Determine the product .... more
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; Let the given matrix be . Use the formula for ... more
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The inverse does not exist. ; Let the given matrix... more
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; Consider the given matrix to be . Adjoin the ... more
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; Let the given matrix be .Adjoin the identity ... more
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; Enter the given matrix into CAS. ; Use the rref... more
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; Enter the given matrix into CAS. ; Use the rref... more
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Inverse does not exist ; Enter the given matrix ... more
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; Enter the given matrix into CAS. ; Use the rref... more
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; Enter the given matrix into CAS. ; Use the rref... more
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; Enter the given matrix into CAS. ; Use the rref... more
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; Let the given matrix be . Use the formula for ... more
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; Let the given matrix be . Use the formula for ... more
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Inverse does not exist ; Let the given matrix be .... more
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; Let the given matrix be . Use the formula for ... more
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; Let the given matrix be . Use the formula for ... more
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; Let the given matrix be . Use the formula for ... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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Not possible ; Write the given system of equations... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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; Write the given system of equations in the form... more
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Inconsistent system of equationsSolution not ... more
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; Denote the matrix by . ; Since the matrix has... more
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0 ; Denote the matrix by . ; Since the matrix has... more
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; Write the determinant of the given matrix as... more
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; Write the determinant of the given matrix as... more
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550 ; Write the determinant of the given matrix as... more
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78 ; Write the determinant of the given matrix as... more
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130 ; Let the given matrix be .Since the value of... more
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; Let the given matrix be .Since the value of if... more
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; Let the given matrix be .Since the value of if... more
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; Let the given matrix be .Since the value of if... more
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; Let the given matrix be .Since the value of if... more
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20 ; Let the given matrix be .Since the value of ... more
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279 ; Let the given matrix be .Since the value of... more
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; Let the given matrix be .Since the value of if... more
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16 square units ; Let , , and . Represent the ... more
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24 square units ; Let , , and . Represent the ... more
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square units ; Let , , and . Represent the values ... more
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square units ; Let , , and . Represent the values ... more
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48 square units ; Consider the coordinates , , and... more
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64 square units ; Consider the coordinates , , and... more
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The points are not collinear. ; Let , , and . ... more
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Collinear. ; Let , , and . Represent the values in... more
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Collinear. ; Let , , and . Represent the values in... more
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Not collinear. ; Let , , and . Represent the ... more
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; Evaluate the determinant of the coefficient ... more
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; Evaluate the determinant of the coefficient ... more
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Solution not possible. ; Evaluate the determinant... more
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; Evaluate the determinant of the coefficient ... more
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; Construct the coefficient matrix using the ... more
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Solution not possible. ; Construct the ... more
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; Construct the coefficient matrix using the ... more
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; Construct the coefficient matrix using the ... more
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; Adjoint the identity matrix to to form the ... more
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; Adjoint the identity matrix to to form the ... more
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; Adjoint the identity matrix to to form the ... more
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FalseThe graphical method will not give an exact ... more
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TrueMatrix addition is performed by adding ... more
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Elementary row operations are used to find the ... more
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The matrix must be a square matrix and the ... more
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; Solve the first equation for . ; Substitute the... more
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; Substitute the value of from the first ... more
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No real solution ; Solve the equation, for . ... more
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; Write the augmented matrix using the system of ... more
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; Write the augmented matrix using the system of ... more
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; Write the augmented matrix using the system of ... more
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; Substitute the point into the given equation ... more
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; Rewrite the given rational expression. ; ... more
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; Simplify the denominator of the given ... more
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; Write the system of linear equations into ... more
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; Write the system of linear equations into an ... more
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: , : 3; : ; Write the given system of equations ... more
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67 ; Represent the given matrix by . ; Write the ... more
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-2 ; Represent the given matrix by . ; Show the ... more
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30 square units ; Divide the given parallelogram ... more
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; ; Evaluate the determinant of the coefficient ... more
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Infinitely many solutions ; At a node, total ... more