Simplify: \( \frac{3 x}{x^{2}-4 x+4}+\frac{6}{x-2}=\square \) State the restrictions on the variable. Seperate multiple answers with a comma. \( x \neq \square \)

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

1. \( \frac{x}{3}=\frac{2}{3} \) \( x=3(2)(3) \)

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

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

\( \begin{array}{l} \text { XI) } \text { Resolver las siguientes ecuaciones } \\ 1+x-8-7 x=1-2 x \quad 2(x-3)-3(2 x-5)=1 \quad 5 x^{2}-7=13 \\ \text { XII) } \quad \text { Hallar el conjunto solución de las siguientes inecuaciones } \\ -3 x+7+x \leq 2 x-13 \quad 6-4(x-2)-x<2-3(4-x)\end{array} \)