Find the vertex of the graph of the function. f(x) = 3x2 - 24x + 51

Estimate the area under the curve f(x) = 16 - x^2 from x = 0 to x = 3 by using three inscribed (under the curve) rectangles. answer to the nearest integer.

Find the value of x. also give me an explanation so i can complete it to other questions as well, : )

Mr. piper is driving peter, roddy, and scott home from school. all of them want to ride in the front seat. how can he make a fair decision about who rides in the front seat?