Multiple choice please answer please

An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is

The tuition costs, c, for a local community college are modeled by c(h) = 250 + 200h, where h represents the number of credit hours taken. the local state university has tuition costs, s, modeled by the function s(h) = 300 + 180h. how many credit hours will a student have to take for the two tuition costs to be equal? round the answer to the nearest tenth of an hour.

Any is very appreciated! (picture is provided below)not sure how to do this at all won't lie