Compute each sum below. If applicable, write your answer as a fraction. \( 2+2(-2)+2(-2)^{2}+\ldots+2(-2)^{7}=\square \) \( \sum_{k=1}^{9}\left(\frac{1}{3}\right)^{k}=\square \)

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

\[ y=-3 x^{2}+12 x-15 \] Write your answer as an inequality using \( x \) or \( y \) as appropriate. Or, you may instead click on "Empty set" or "All reals" as the answer.

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) \( t=-5 \log _{288}(8) \)

\( \frac{a+b}{a^{2}+b^{2}+2 a b}-a b \quad \) per \( a=4 ; b=-3 \)