2. Rasionalkan bentuk akar \( \frac{3-\sqrt{6}}{3+\sqrt{6}} \) !

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

Write the coefficient of: (a) \( y \) in \( -3 x^{2} y \)

\[ y=-3 x^{2}+12 x-15 \] 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.

\( 4 \cdot 2^{-\frac{t}{5}}=288 \) 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) \( t=-5 \log _{288}(8) \)

\[ y=x^{2}+8 x+18 \] 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