Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
Answer: 4 1/6
Step-by-step explanation:
Answer:
infinite
Step-by-step explanation:
Howdy!
using the expression 14.99(n) + 4.99, the total of 3 CDs would cost $49.96.
Answer:
x = 468%
Step-by-step explanation:
I see a proportion here.
we want to solve for the variable x in the proportion:
18% / (2 weeks) = ( x %) / (52 weeks)
here we should multiply 52 to boths sides
(52 weeks) * 18% / (2 weeks) = x %
26 * 18% = x %
x = 468 %
