Fill in the blanks to find what transformation were performed on the parent function \( f(x)=6^{x} \) to get the function \( f(x)=\frac{1}{3}\left(6^{x+1}\right)+4 \) ? The function has not compressed to \( 1 / 3 \) of its height 2 The function has been horizontally shifted left been reflected across the \( x \)-axis, and vertically shifted up units.

Dados los vectores \( \vec{u}=(5,-1,2) \) y \( \vec{v}=(-1,2,-2) \) a) Calcular el ángulo entre ambos vectores. b) ¿Cuánto tiene que valer \( k \) para que el vector \( \vec{w}=(7,2, k) \) sea perpendicular al vector \( \vec{u} \) ?

How many different rectangles with an area fone hundred twenty square units can be formed using unit squares? Using George Pol-ta strategies.

Simplifica las siguientes expresiones. 4. \( (9 x)-(2 y-3 x)-\{y+[2 x-(4 x+3 y)+2]\}-[4 y+(6 x-5 y)] \) Su respuesta es:

Solve the polynomial inequality: \( -2(x-2)^{2}(x-1)(x-9)<0 \) Give your answer in interval notation. Enter DNE if there is no solution.

Si \( f(x)=(2 x+1)^{2 / 3} \), su derivada es: