The following function is given. \( f(x)=3 x^{3}-7 x^{2}-75 x+175 \) a. List all rational zeros that are possible according to the Rational Zero Theorem. Choose the correct answer below.

Which of the following equations represents a line that passes through the points \( (8,2) \) and \( (-4,-7) \) ? I. \( y-2=\frac{3}{4}(x-8) \) II. \( 3 x-4 y=16 \) Answer Neither II only

Simplify. \[ \frac{x^{2} y^{6}}{x^{3} y^{6}} \]

Simplify the expression: \( 3 z-6+7-3 z+9 \)

Which of the following equations represents a line that passes through the points \( (-4,11) \) and \( (6,-9) \) ? \[ \begin{array}{l}\text { I. } y=-2 x+3 \\ \text { II. } y+9=-2(x-9) \\ \text { Answer } \\ \text { Neither } \\ \text { II only }\end{array} \] I only I II

Graph the solution set of the following system of inequalities. \[ \begin{array}{l}x+y \leq 4 \\ y \geq x^{2}-3\end{array} \]