Exam 8: Systems of Equations and Inequalities

Graph the solution set of the system of inequalities or indicate that the system has no solution. - y\geq2x-4 x+2y\leq7 y\geq-2 x\leq1

Write the partial fraction decomposition of the rational expression. - $\frac { 9 x ^ { 2 } - 14 x - 3 } { ( x - 4 ) \left( x ^ { 2 } + 1 \right) }$

Systems of Linear Equations in Three Variables 1 Verify the Solution of a System of Linear Equations in Three Variables - (0,-5,-2) x-y+5z=-5 4x+z=-2 x+4y+z=-22

Decompose P/Q, Where Q Has Repeated Linear Factors - $\frac { 5 x - 5 } { ( x + 5 ) ( x + 3 ) ^ { 2 } }$

Graph the solution set of the system of inequalities or indicate that the system has no solution. - y> 5x+3y\leq15

Graph the inequality. - $y \leq 4 x - 5$

Write the word or phrase that best completes each statement or answers the question. -Joely's Tea Shop, a store that specializes in tea blends, has available 45 pounds of A grade tea and 70 pounds of B grade tea. These will be blended into 1 pound packages as follows: A breakfast blend that contains one third of a pound of A grade tea and two thirds of a pound of B grade tea and an afternoon tea that contains one half pound of A grade tea and one half pound of B grade tea. If Joely makes a profit of $1.50 on each pound of the breakfast blend and $2.00 profit on each pound of the afternoon blend, how many pounds of each blend should she make to maximize profits? What is the maximum profit?

Write the partial fraction decomposition of the rational expression. - $\frac { x + 2 } { x ^ { 3 } - 2 x ^ { 2 } + x }$

Solve Linear Systems by Addition - 6x+2y=-6 -6x-9y=48

Solve Nonlinear Systems By Addition - +2=13 -=1

Systems of Nonlinear Equations in Two Variables 1 Recognize Systems of Nonlinear Equations in Two Variables - $\left\{ \begin{array} { l } x y = - 2 \\x + 5 y = 7\end{array} \right.$

Solve Problems Using Systems of Linear Equations -Steve invests in a circus production. The cost includes an overhead of $\$ 36,000$ , plus production costs of $\$ 5000$ per performance. A sold-out performance brings in $\$ 8000$ . Let $x$ represent the number of sold-out performances and write the cost function, $C$ and revenue function, $R$ .

Graph the solution set of the system of inequalities or indicate that the system has no solution. - x\geq0 y\geq0 2x+3y\leq6 3x+y\leq4

Write the word or phrase that best completes each statement or answers the question. -Your computer supply store sells two types of laser printers. The first type, A, has a cost of $86 and you make a $45 profit on each one. The second type, B, has a cost of $130 and you make a $35 profit on each one. You expect to sell at least 100 laser printers this month and you need to make at least $3850 profit on them. How many of what type of printer should you order if you want to minimize your cost?

Solve Nonlinear Systems By Addition - 2-2=42 2+3=62

Solve Nonlinear Systems By Substitution - x-y=5 (x-2+(y+5=20

Solve Linear Systems by Substitution - $2 y = x + 24$ $5 x + 10 y = 0$

Graph the solution set of the system of inequalities or indicate that the system has no solution. - (x-1+(y-3>4 (x-1+(y-3<36

Graph the solution set of the system of inequalities or indicate that the system has no solution. -

Write the partial fraction decomposition of the rational expression. - $\frac { 3 x ^ { 3 } + 3 x ^ { 2 } + 4 x + 6 } { \left( x ^ { 2 } + 3 \right) ^ { 3 } }$