It is estimated that a forest infested with bark bettles, an invasive species, will loose half of its trees each season unless it is treated. A forest in California has \( 1,000,000 \) trees and has recently become infested with bark beetles. The equation that represents the number of living trees in terms of the number of seasons is \( y=1,000,000\left(\frac{1}{2}\right)^{x} \) where \( x \) is the number of seasons and \( y \) is the total number living trees. What is the initial value? What is the constant ratio?

1) \( \left(4 x^{2}+5\right)\left(x^{2}-2\right)\left(x^{2}+2\right)=0 \) A) \( \left\{\frac{i \sqrt{5}}{2},-\frac{i \sqrt{5}}{2}, \sqrt{2},-\sqrt{2}, i \sqrt{2},-i \sqrt{2}\right\} \) B) \( \left\{\frac{i \sqrt{10}}{2},-\frac{i \sqrt{10}}{2}, \sqrt{2},-\sqrt{2}, i \sqrt{2},-i \sqrt{2}\right\} \) C) \( \left\{\frac{i \sqrt{15}}{3},-\frac{i \sqrt{15}}{3}, i \sqrt{3},-i \sqrt{3}, i \sqrt{2},-i \sqrt{2}\right\} \) D) \( \left\{\right. \) mult. \( \left.2, \frac{i \sqrt{5}}{2},-\frac{i \sqrt{5}}{2}, \sqrt{2},-\sqrt{2}\right\} \)

Watch the video that describes performing vector operations. Click here to watch the video. Given vectors \( \mathbf{u} \) and \( \mathbf{v} \), find \( \mathbf{( a )} 9 \mathbf{u}=\langle 9,9\rangle, \mathbf{v}=\langle 6,0\rangle \) (b) \( 9 \mathbf{u}+6 \mathbf{v} \) (c) \( \mathbf{v}-6 \mathbf{u} \). \( \begin{array}{ll}\text { (a) } 9 \mathbf{u}=\langle 81,81\rangle \\ \text { (b) } 9 \mathbf{u}+6 \mathbf{v}=\langle\square, \square\rangle\end{array} \)

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.

\( \left.\begin{array}{l}\left.\text { 1) } \begin{array}{l}\left(4 x^{2}+5\right)\left(x^{2}-2\right)\left(x^{2}+2\right)=0 \\ \text { A) }\left\{\begin{array}{l}i \sqrt{5} \\ 2\end{array}-\frac{i \sqrt{5}}{2}, \sqrt{2},-\sqrt{2}, i \sqrt{2},-i \sqrt{2}\right. \\ \text { B) }\left\{\frac{i \sqrt{10}}{2},-\frac{i \sqrt{10}}{2}, \sqrt{2},-\sqrt{2}, i \sqrt{2},-i \sqrt{2}\right.\end{array}\right\} \\ \text { C) }\left\{\frac{i \sqrt{15}}{3},-\frac{i \sqrt{15}}{3}, i \sqrt{3},-i \sqrt{3}, i \sqrt{2},-i \sqrt{2}\right.\end{array}\right\} \)

dent Name: Which graph shows the solution of \( -6(n-1)<3 \) and \( 2(n+1)>0 \) ?