Write an equation that expresses the following relationship. \[ d \text { varies directly with } w \text { and inversely with the square root of } p \] In your equation, use \( k \) as the constant of proportionality.

Multiply. \[ (3 a+1)(a+7) \] Simplify your answer. (1.

г) \( \log _{\frac{1}{5}}^{2}\left(x^{2}+2 x+1\right)-31 \log _{\frac{1}{5}} \frac{x+1}{5}+15<0 \)

Solve. \[ -3 w(w+1)(w+2)=0 \] (If there is more than one solution, separate them with commas.)

Question 24 Which of the following expressions is equivalent to \( \frac{\sqrt{12}+\sqrt{6}}{\sqrt{3}} \) ? a. \( \frac{6+\sqrt{15}}{3} \) b. \( \frac{2+\sqrt{2}}{3} \) c. \( 2+\sqrt{2} \)

Find all the zeros of the quadratic function. \[ y=x^{2}-6 x-16 \] If there is more than one zero, separate them with commas. If there are no zeros, click on "None". zero(s): \( \square \)