Abud

A high school club has a performance, with 800 tickets to sell. Tickets are $6 before the day of the show, and $9 on the day of the show. They must sell $5000 in tickets. How do I write a system of inequalities to represent the equation?

Find the given value of 5^a= 3^5^2. (the 3^5^2 is a radical, with the numbers in the right place)

One-dimensional motion: v(t) = -(t+1) * sin(t^2 / 2) how often does a particle following that function change direction in the open interval (0,3).

It's part of an FRQ. I've been working at it for a while, but I have not gotten a single definitive answer.

I'm allowed to graph it using a graphing calculator, but I want to understand why it's once.