91Ó°ÊÓ

$$\text {Let } A=\left[\begin{array}{rr} -2 & 4 \\ 0 & 3 \end{array}\right] \text { and } B=\left[\begin{array}{rr} -6 & 2 \\ 4 & 0 \end{array}\right] . \text { Find each of the following.}$$ $$-A+\frac{1}{2} B$$

Use a graphing calculator to solve each system. Express solutions with approximations to the nearest thousandth. $$\begin{aligned} &\frac{11}{3} x+y=0.5\\\ &0.6 x-y=3 \end{aligned}$$

Graph the solution set of each system of inequalities. $$\begin{aligned}&y \geq x^{2}+4 x+4\\\&y<-x^{2}\end{aligned}$$

Give all solutions of each nonlinear system of equations, including those with nonreal complex components. $$\begin{aligned} &2 x^{2}-y^{2}=4\\\ &|x|=|y| \end{aligned}$$

Solve each system by using the inverse of the coefficient matrix. $$\begin{aligned} &0.5 x+0.2 y=0.8\\\ &0.3 x-0.1 y=0.7 \end{aligned}$$

Give all solutions of each nonlinear system of equations, including those with nonreal complex components. $$\begin{aligned} &x^{2}+y^{2}=9\\\ &|x|=|y| \end{aligned}$$

Solve each system using a graphing calculator capable of performing row operations. Give solutions with values correct to the nearest thousandth. $$\begin{aligned}\sqrt{5} x-1.2 y+z &=-3 \\\\\frac{1}{2} x-3 y+4 z &=\frac{4}{3} \\\4 x+7 y-9 z &=\sqrt{2}\end{aligned}$$

Use a graphing calculator to solve each system. Express solutions with approximations to the nearest thousandth. $$\begin{aligned} &\sqrt{3} x-y=5\\\ &100 x+y=9 \end{aligned}$$

$$\text {Let } A=\left[\begin{array}{rr} -2 & 4 \\ 0 & 3 \end{array}\right] \text { and } B=\left[\begin{array}{rr} -6 & 2 \\ 4 & 0 \end{array}\right] . \text { Find each of the following.}$$ $$\frac{3}{4} A-B$$

Graph the solution set of each system of inequalities. $$\begin{array}{c}x \geq 0 \\\x+y \leq 4 \\\2 x+y \leq 5\end{array}$$