Resolver gráficamente: a) \( \left\{\begin{array}{c}x+y=11 \\ 3 x-y=5\end{array} \quad\right. \) b) \( \left\{\begin{array}{c}2 x-y=7 \\ -x+2 y=-5\end{array}\right. \)

Solve for \( x \) : \( 3^{x}=32 \) \( x= \) You may enter the exact value or round to 4 decimal places.

If \( 25 \% \) of two-thirds of a number is 10 , find the number. \( \begin{array}{ll}\text { A) } 75 & \text { B) } 120 \\ \text { C) } 60 & \text { D) } 30\end{array} \)

If \( \mathbf{2 5 \%} \) of two-thirds of a number is \( \mathbf{1 0} \), find the number. \( \begin{array}{ll}\text { A) } 75 & \text { B) } 120 \\ \text { C) } 60 & \text { D) } 30\end{array} \)

2 Find, in the form \( y=a x^{2}+b x+c \), the equation of the quadratic whose graph: a touches the \( x \)-axis at 4 and passes through \( (2,12) \) b has vertex \( (-4,1) \) and passes through \( (1,11) \)

shane Athat \( (f \cdot 5)^{-1}=g^{-1} \cdot f^{-1} \) givonthat \( f(x)=\frac{x-1}{x+2} \) \( g(x)=\frac{5}{x-5} \)