We consider the system given by the following augmented matrix \( \left[\begin{array}{rrr|r}2 & 1 & -3 & 2 \\ 2 & -3 & 1 & 10 \\ -2 & 1 & 1 & -6\end{array}\right] \) Is there a value of \( \alpha \) such that \( x=\alpha, y=1, z=3 \) is a solution of the system?

Solve the system of quadratic inequalities: \[ \begin{array}{l}y<x^{2}-4 \\ y>-x^{2}+2\end{array} \]

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.