\( \left. \begin{array} { l } { ( x - 5 ) ^ { 2 } = } \\ { ( 2 x + 4 ) ( 2 x - 4 ) = } \\ { ( - 3 x + 4 ) ^ { 2 } = } \\ { ( x ^ { 2 } - y ) ^ { 2 } = } \\ { ( x ^ { 3 } + 2 x ^ { 2 } ) ( x ^ { 3 } - 2 x ^ { 2 } ) = } \end{array} \right. \)

1) A picture should be centered on a wall. The picture is 3 feet wide. The wall is 15 feet wide. How much space should be on the left \( (x) \) and right \( (x) \) of the picture? \( x+3+x=15 \) \( 2 x+3=15 \) What is the value of \( x \) ?

Cuál es la inversa de la matriz: \( \left[\begin{array}{lll}1 & 2 & 1 \\ 0 & 1 & 0 \\ 2 & 0 & 3\end{array}\right] \) a. \( \left[\begin{array}{ccc}-3 & 6 & 1 \\ 0 & 1 & 0 \\ 2 & 4 & -1\end{array}\right] \) b. \( \left[\begin{array}{ccc}-3 & 0 & 2 \\ 6 & 1 & 4 \\ 1 & 0 & 1\end{array}\right] \) c. \( \left[\begin{array}{ccc}3 & 0 & -2 \\ -6 & 1 & 4 \\ 1 & 0 & 1\end{array}\right] \) d. \( \left[\begin{array}{ccc}3 & -6 & 1 \\ 0 & 1 & 0 \\ -2 & 4 & 1\end{array}\right] \)

16. Determine whether \( f(x)=8 x-1 \) is one-to-one. If it is, find a formula for its inverse.

Factor completely. \[ 5 v^{2}-30 v+70 \]

16 Solve the system of equations using matrices. Use the Gaussian elimination method with back-substitution. \[ \begin{array}{r}x+y-z=-4 \\ 4 x-y+z=-1 \\ -x+5 y-4 z=1\end{array} \] The solution set is \( \{(\square, \square, \square)\} \). (Simplify your answers.)