How do you know 4×2×2 is the same as 4×4?

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

How many solutions does the nonlinear system of equations graphed bellow have?

Which equation is y = -6x2 + 3x + 2 rewritten in vertex form?