Mrs. Galicia sells online math and reading games. His revenue for each game (in dollars) is modeled by the given equations, where x is the number of days since the games went on sale. Math Game: M(d)=x²-9x-10
Reading Game: R(d)=2x+10

(a) Solve the system algebraically. After how many days is the revenue for each game the same?

(b) Graph this system to show the solutions. Label each axis appropriately (I mainly need help on this part of the question)

Mrs. Galicia dropped a ball from the top of a tower. At the same time, her son, Antonio, launches a rocket from a different level of the tower.

The height of the tennis ball in feet after t seconds can be represented by the quadratic function:

b(t)= -t² - 2t + 36

The height of Antonio's rocket after t seconds can be represented by the linear function: p(t) = -2t + 20

(a) What are the two solutions to this system? Show your work.

(b) Explain which solution is not reasonable in this situation.

(c) After how many seconds do the rocket and the ball reach the same height