The height of the new bike tunnel, \( y \), in feet, is given by the following equation, where \( x \) is the horizontal distance, In feet, from the center line of the opening of the tunnel. \[ y=-x^{2}+36 \] Note that negative \( x \)-values indicate the distance to the left of the center line, and positive \( x \)-values indicate the distance to the right of the center line. Plot the points on the graph where the height of the tunnel is a maximum and where the height of the tunnel is zero feet.

(a) Find the solution for \( |2 x+1|+3=5 \). Select the correct choice below, and fill in the answer box if necessary. A. The solution set is the finite set of real numbers \( \{ \). (Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The solution set is the interval (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

A. \( 4 x^{2} y\left(x z^{2}+5 w x y+3\right) \).

Solve the equation by factoring. \[ x^{2}=7 x-12 \]

23. Reasoning Twenty of the students in Hannah's class, or \( 80 \% \) of the class, voted to have pizza fol lunch every Wednesday. How many students are in Hannah's class?

Solve the following system of equations by the addition method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent. \[ \begin{aligned} 4 x+3 y & =-14 \\ 2 x-y & =-12\end{aligned} \]