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:
more than
Step-by-step explanation: less than because 60 + 90 = 150 and you said 1 hour plus 1 hour and a half so your answer is more than because 150 is more than 100
2 I think it is not sure hope it helps you out
Answer:
use Pythagoras theorem formula 
= 
+ 
Step-by-step explanation:
= 
+ 
= 576 + 324
= 900
C = 
C = 30
Does that make sense? :|
Answer:
yes sir
Step-by-step explanation:
