If f(x) = ax(x-3) and f(-2) = 5, what is the value of a?

a = 1/2

Step-by-step explanation:

f(x) = ax(x-3) and f(-2) = 5

Replace x with -2 and f(x) with 5

5 = a (-2) (-2-3)

5 = a (-2)(-5)

5 = 10a

Divide each side by 10

5/10 = 10a/10

1/2 =a

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.