PLEASE HELP!! FIRST TO HELP ANSWER CORRECTLY GET BRAINLIEST! 5POINTS!

6. (5 points) Use the partial sum formula to find the 32nd partial sum of the arithmetic series:

24 + 41 + 58 + 75 + 92 + ... You must show your work to receive full credit.

Given that (x-3) is a factor of f(x)=x^3+ax^2-x-6, find a and hence the number of real roots or the equation f(x)=0

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.

25 ! the line of best fit is h = 5a + 86. predict the height at age 16. show your work.