91Ó°ÊÓ

Find the value of each variable. $$ \left[\begin{array}{rr}{x} & {3} \\ {x} & {-2}\end{array}\right]+\left[\begin{array}{rr}{y} & {6} \\ {-y} & {3}\end{array}\right]=\left[\begin{array}{ll}{6} & {9} \\ {4} & {1}\end{array}\right] $$

Describe each translation of \(f(x)=|x|\) as vertical, horizontal, or combined. Then graph the translation. $$ f(x)=|x-5|+3 $$

Each matrix represents the vertices of a polygon. Write a matrix to represent the vertices of the image after each transformation. \(\left[\begin{array}{rrr}{-2} & {-5} & {0} \\ {0} & {3} & {5}\end{array}\right] ;\) reflection in \(y=x\)

Graph each system of constraints. Find all vertices. Then find the values of \(x\) and \(y\) that maximize or minimize the objective function. $$ \begin{array}{c}{\left\\{\begin{array}{r}{x+y \leq 3} \\ {x \geq 0}\end{array}\right.} \\ {\text { Maximize for }} \\ {P=3 x+4 y}\end{array} $$

Graph each inequality. $$ y \leq-3 x+8 $$