11. A ball is thrown upward from the top of a 8 foot tall structure at a speed of 46 feet per second. The b height above ground can be modeled by the equation \( H(t)=-16 t^{2}+64 t+8 \). a. Put \( H(t) \) into vertex form by completing the square. (Hint: First, pull out common factors so that you're working with smaller coefficients.)

1) \( (3 x)\left(2 x^{2}\right) \) 4) \( \left(x^{3}\right)\left(x^{2}+x\right)\left(3 x^{3}\right) \) 7) \( \left(x^{4}+3 x^{3}+2 x^{2}+11 x\right)\left(x^{3}\right) \)

\( x y+8=24 \quad \) where \( y=2 \)

If \( (2 a-5)(3 a-2)=6 a^{2}+k a+10 \), then \( k= \) \( \begin{array}{llll}\text { (a) } 15 & \text { (b) } 19 & \text { (c) }-19 & \text { (d) } 6\end{array} \)

Find the range of the quadratic function.

\( 4 \cdot 2^{-\frac{t}{5}}=288 \) Which of the following is the solution of the equation? Choose 1 answer: (A) \( t=-5 \log _{8}(288) \) (B) \( t=-5 \log _{72}(2) \) (C) \( t=-5 \log _{2}(72) \) (D) \( t=-5 \log _{288}(8) \)