Exam 6: Systems of Linear Equations and Inequalities

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Solve the system of linear equations by elimination. 2.3t - 3.3u = -19.78 2t + 2.1u = 17.09

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Graph the system of inequalities. Graph the system of inequalities.

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Write the partial fraction decomposition for the given rational expression. Write the partial fraction decomposition for the given rational expression.

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Maximize z = -5x - 6y Maximize z = -5x - 6y

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Solve the system of linear equations by graphing the following equations. -10x + 5y = 110 -7x + 4y = 81

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Write the partial fraction decomposition for the given rational expression. Write the partial fraction decomposition for the given rational expression.

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Ocean Beach Financial Planning offers three types of investments: low-risk, medium-risk, and high-risk. A customer decides to invest $6600 and is given three options for investing in the three funds. Determine the interest rate percentage for the low-risk, l, medium-risk, m, and high-risk, h, investments based on the interest earned for each option in the first year. $300l + $750m + $5550h = $429.00 $500l + $1150m + $4950h = $409.00 $350l + $1200m + $5050h = $417.00

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Solve the system of linear equations by elimination. 10z - 2w = -46 10z - 2w = 5

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Find the value of the objective function z = 4x - 2y at each of the vertices Find the value of the objective function z = 4x - 2y at each of the vertices       and   and then state the maximum and minimum values of the function. Find the value of the objective function z = 4x - 2y at each of the vertices       and   and then state the maximum and minimum values of the function. Find the value of the objective function z = 4x - 2y at each of the vertices       and   and then state the maximum and minimum values of the function. and Find the value of the objective function z = 4x - 2y at each of the vertices       and   and then state the maximum and minimum values of the function. and then state the maximum and minimum values of the function.

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Solve the system of linear equations by graphing the following equations. -2x - 6y = 14 -5x + 7y = -31

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Solve the system of linear equations by elimination. 3x - 14y = 52 6x - 28y = -104

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Graph the system of inequalities. Graph the system of inequalities.

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Solve the system of linear equations by substitution. -9p - 3q = -45 -18p - 6q = -90

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Find the value of the objective function z = 6x - 5y at each of the vertices Find the value of the objective function z = 6x - 5y at each of the vertices     and   and then state the maximum and minimum values of the function. Find the value of the objective function z = 6x - 5y at each of the vertices     and   and then state the maximum and minimum values of the function. and Find the value of the objective function z = 6x - 5y at each of the vertices     and   and then state the maximum and minimum values of the function. and then state the maximum and minimum values of the function.

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Maximize z = 4x + 3y subject to: Maximize z = 4x + 3y subject to:

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Employ the following supply and demand equations. Employ the following supply and demand equations.   Write a system of linear inequalities corresponding to the consumer surplus. Write a system of linear inequalities corresponding to the consumer surplus.

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Graph the system of inequalities. Graph the system of inequalities.

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Find the value of the objective function z = 2x - 2y at each of the vertices Find the value of the objective function z = 2x - 2y at each of the vertices       and   and then state the maximum and minimum values of the function. Find the value of the objective function z = 2x - 2y at each of the vertices       and   and then state the maximum and minimum values of the function. Find the value of the objective function z = 2x - 2y at each of the vertices       and   and then state the maximum and minimum values of the function. and Find the value of the objective function z = 2x - 2y at each of the vertices       and   and then state the maximum and minimum values of the function. and then state the maximum and minimum values of the function.

(Multiple Choice)
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Write the partial fraction decomposition for the given rational expression. Write the partial fraction decomposition for the given rational expression.

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Graph the system of inequalities. Graph the system of inequalities.

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