Match the polynomial on the left with the appropriately factored expression on the right. \[ \begin{array}{l}x^{2}-7 x+12 \\ \qquad \begin{array}{ll}\left.4 x^{2}-13 x-3\right)(x+4) \\ 4 x^{2}-4 x-48 & (x-4)(4 x+3) \\ (x-3)(4 x+4) \\ & (x-3)(x-4) \\ 4(x+3)(x-4)\end{array}\end{array} \]

b. \( -0.5 p+\frac{1}{2} p-2.75+\frac{2}{3} \)

Solve the equation. \( \ln (8 \mathrm{x}+15)-\ln \mathrm{x}=\ln 9 \) Select the correct choice below and, if necessary, fill in th A. The solution set is \( \{ \) B. The solution is the empty set. (Simplify your answer. Use a comma to separate a

Solve the equation by factoring. Select the correct solution. \( 6 x^{2}-5 x-4=0 \) \( \begin{array}{ll}\text { O } & \text { A) } x=-\frac{4}{3},-\frac{1}{2} \\ \text { O } & \text { B) } x=-\frac{1}{2}, \frac{4}{3} \\ \text { O } & \text { C) } x=-\frac{4}{3}, \frac{1}{2} \\ \text { - } & \text { D) } x=\frac{1}{2}, \frac{4}{3}\end{array} \)

1. Louls owns his own orchard. He plants 5 fruit trees for every 5 nut tiees. The equation \( f=\frac{9}{5} n \) models the relationship between the number of nut trees planted and the number of fruit trees planted. Determine the number of nut trees planted if 135 fruit trees were planted.

1 Graph \( y-2=\frac{2}{3}(x-3) \)