Exam 8: Systems of Linear Equations and Inequalities

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Write the system of linear equations as represented by the augmented matrix. Utilize the variables x, y, and z.

Graph the system of inequalities.

Determine if B is the multiplicative inverse of A using and

Solve the system of linear equations using Gauss-Jordon elimination with back-substitution. 5x + 7y + 4z = 23 4x + 3y + 8z = -6 5x + 6y + 5z = 17

Evaluate the 2 x 2 determinant.

Evaluate the 2 x 2 determinant.

Find the values of a, b, and c such that the graph of the quadratic function y = ax² + bx + c passes through the points (-4, 25), (5, 142), and (-5, 52).

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Match the graph to the system of inequalities.

Write the form of the partial fraction decomposition for the given rational expression. Do not solve for the constants.

Find the values of A and B that make the equation true.

Calculate 2B - 5A if And

Find the partial-fraction decomposition for the rational function.

Maximize z = 3x - 6y subject to:

Evaluate the 3 x 3 determinant.

Match the graph to the system of inequalities.

Apply the matrix algebra to solve the system of linear equations. 2r + 8s + t = -43 R + 7s + t = -39 3r - s + t = 13

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

Graph the linear inequality.