8. Your class council determined that its profit from the upcoming homecoming dance is directly related to the ticket price for the dance. Looking at past dances, the council determined that the profit p can be modeled by the function
P(t) = -12 + 480t + 30, where i represents the price of each ticket. What should be the price of a ticket to the
homecoming dance to maximize the council's profit?

True or false look at the picture pls : /

What are the solutions of the system? solve by graphing. y = x^2 + 3x + 2 y = 2x + 2

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)