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.

Solve the system of quadratic inequalities: \[ \begin{array}{c}\mathrm{y}>\mathrm{x}^{2}-1 \\ \mathrm{y} \leq-\frac{1}{3} \mathrm{x}^{2}+5\end{array} \]

Which expression is equivalent to \(( x^ { \frac { 3} { 7} } ) ^ { 2} \) ?A. \(x^ { \frac { 6} { 14} } \)B. \(x^ { \frac { 17} { 7} } \)C. \(x^ { \frac { 6} { 7} } \)D. \(x^ { \frac { 5} { 7} } \)

Solve the system of quadratic inequalities: \[ y>x^{2}-1 \]

The ratio of Ben's age to Ali's age is \( 3=2 \). Their total age is 140 years now What is Alils age?

MP) Use Structure A plumber charges a customer a one-time service fee of \( \$ 79, \$ 62 \) per hour for labor, and a surcharge of \( \$ 15 \) per hour due to the call being an emergency. Write an expression to represent the total charges for the plumber in two different ways.