Factor this trinomial completely.

–12x2 + 45x + 12

a. –12x2 + 45x + 12
–3(4x2 + 15x – 4)
–3(4x – 1)(x + 4)
b. –12x2 + 45x + 12
–3(4x2 + 17x + 4)
–3(4x + 1)(x + 4)
c. –12x2 + 45x + 12
–3(4x2 – 15x – 4)
–3(2x + 1)(2x – 4)
d. –12x2 + 45x + 12
–3(4x2 – 15x – 4)
–3(4x + 1)(x – 4)

An arrow is shot vertically upward at a rate of 180ft/s. use the projectile formula h=−16t2+v0t to determine at what time(s), in seconds, the arrow is at a height of 420ft. round your answer(s) to the nearest tenth of a second.

Ricky takes out a $31,800 student loan to pay his expenses while he is in college. after graduation, he will begin making payments of $190.66 per month for the next 30 years to pay off the loan. how much more will ricky end up paying for the loan than the original value of $31,800? ricky will end up paying $ more than he borrowed to pay off the loan.

For the quadratic function [tex]y=(x+4)^2-1[/tex] , do the following: a) rewrite the function in the standard form, b) rewrite the function in intercept form, c) find the vertex, d) find the y-intercept, e) find the x-intercepts.