Write the partial fraction decomposition of each rational expression. x/(x-2)(x-3)

Solve each system in Exercises 5–18. $\begin{cases} 3x + 2y - 3z = -2 \\ 2x - 5y + 2z = -2 \\ 4x - 3y + 4z = 10 \end{cases}$

In Exercises 1–18, solve each system by the substitution method. $\begin{cases} xy = 6 \\ 2x - y = 1 \end{cases}$

An objective function and a system of linear inequalities representing constraints are given. a. Graph the system of inequalities representing the constraints. b. Find the value of the objective function at each corner of the graphed region. c. Use the values in part (b) to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

The perimeter of a table tennis top is 28 feet. The difference between 4 times the length and 3 times the width is 21 feet. Find the dimensions.

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In Exercises 5–18, solve each system by the substitution method. $\begin{cases} x = 4y - 2 \\ x = 6y + 8 \end{cases}$

Graph each inequality. x≤−3

In Exercises 9–42, write the partial fraction decomposition of each rational expression. 1/x(x-1)

An objective function and a system of linear inequalities representing constraints are given. a. Graph the system of inequalities representing the constraints. b. Find the value of the objective function at each corner of the graphed region. c. Use the values in part (b) to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

In Exercises 5–18, solve each system by the substitution method. 5x + 2y = 0 x - 3y = 0

Write the partial fraction decomposition of each rational expression. (3x +50)/(x -9)(x +2)

In Exercises 1–18, solve each system by the substitution method. $\begin{cases} y^2 = x^2 - 9 \\ 2y = x - 3 \end{cases}$

Solve each system in Exercises 5–18. $\begin{cases} 2x - 4y + 3z = 17 \\ x + 2y - z = 0 \\ 4x - y - z = 6 \end{cases}$

Graph each inequality. y>−3

Solve each system in Exercises 12–13. The is a piecewise function

In Exercises 5–18, solve each system by the substitution method. 2x + 5y = - 4 3x - y = 11

Solve each system in Exercises 5–18. $\begin{cases} 2x + y = 2 \\ x + y - z = 4 \\ 3x + 2y + z = 0 \end{cases}$

Graph each inequality. x²+y²≤1

An objective function and a system of linear inequalities representing constraints are given. a. Graph the system of inequalities representing the constraints. b. Find the value of the objective function at each corner of the graphed region. c. Use the values in part (b) to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

Write the partial fraction decomposition of each rational expression. (7x-4)/(x²-x-12)

In Exercises 1–18, solve each system by the substitution method. $\begin{cases} xy = 3 \\ x^2 + y^2 = 10 \end{cases}$

Write the partial fraction decomposition of each rational expression. 9x+21/(x² + 2x - 15)

Find the quadratic function y = ax^2 + bx + c whose graph passes through the points (1, 4), (3, 20), and (-2, 25).

In Exercises 5–18, solve each system by the substitution method. 2x - 3y = 8 - 2x 3x + 4y = x + 3y + 14

In Exercises 1–18, solve each system by the substitution method. $\begin{cases} x + y = 1 \\ x^2 + xy - y^2 = -5 \end{cases}$

Solve each system in Exercises 5–18. $\begin{cases} x + y = -4 \\ y - z = 1 \\ 2x + y + 3z = -21 \end{cases}$

In Exercises 1–26, graph each inequality. x²+y²>25

Write the partial fraction decomposition of each rational expression. 4/(2x² -5x -3)

In Exercises 16–24, write the partial fraction decomposition of each rational expression. x/(x - 3)(x + 2)

Write the partial fraction decomposition of each rational expression. x/(x² +2x -3)