For this question, f(x) = 4kx2 + (4k + 2)x + 1, where k is a real constant. a) Find the discriminant of f(x) in terms of k.
b) By simplifying your answer to part a, or otherwise, prove that f(x) has two distinct real roots for all non-zero values of k.
c) Explain why f(x) cannot have two distinct real roots when k = 0.

Aquadratic function f(x) has a turning point at (3,-7). what is the turning point of -f(x)?

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.

One hectometer is a) 1/1000 of a meter. b) 1/100 of a meter. c) 10 meters. d) 100 meters. e) 1000 meters.