Factor the binomial completely. \( 81 x^{2}-225 y^{2} \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( 81 x^{2}-225 y^{2}=\square \) (Factor completely.) B. The polynomial is prime.

Find all x -intercepts of the following function. Write your answer or answers as coordinate points. Be sure to select the appropriate number of \( x \)-intercepts. \[ f(x)=\frac{3 x^{2}-x}{x^{2}-3 x-54} \]

Find the slope and \( y \)-intercept of the graph of the equation. \[ y=\frac{2}{5} x-1 \] Slope \( =\square \) (Enter a fully reduced fraction.) The y-intercept is \( \square \). (Simplify your answer. Type an ordered pair.)

Solve for \( x \) in the logarithmic equation \( 10^{\log \left(10^{24}\right)}=10^{x} \). (1 point) \( \begin{array}{l}x=10^{24} \\ x=24^{10} \\ x=24 \\ x=10\end{array} \)

If \( 10^{\log x}=10^{18} \), what is the value of \( x ? \) (1 point) 18 \( 10^{18} \) -18 \( 10^{-18} \)

A line that includes the points \( (-8, v) \) and \( (-6,-10) \) has a slope of -8 . What is the value of \( v \) ?