Answer:
Axis of symmetry= 3
Step-by-step explanation:
f(x)= 2x^2 +12x-4
f(x)=ax^2+bx+c
x=12/2(2)
x=3
f(x)= 2(3)^2+12(3)-14
f(x)= 2(9)+36-14
f(x)=18+36-14
f(x)= 54-14
y=40
10.
Factor the following:
8 x^2 - 2 x - 10
Factor 2 out of 8 x^2 - 2 x - 10:
2 (4 x^2 - x - 5)
Factor the quadratic 4 x^2 - x - 5. The coefficient of x^2 is 4 and the constant term is -5. The product of 4 and -5 is -20. The factors of -20 which sum to -1 are 4 and -5. So 4 x^2 - x - 5 = 4 x^2 - 5 x + 4 x - 5 = 4 x (x + 1) - 5 (x + 1):
2 4 x (x + 1) - 5 (x + 1)
Factor x + 1 from 4 x (x + 1) - 5 (x + 1):
Answer: 2 (x + 1) (4 x - 5)
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13.
Factor the following:
16 x^2 - 24 x + 8
Factor 8 out of 16 x^2 - 24 x + 8:
8 (2 x^2 - 3 x + 1)
Factor the quadratic 2 x^2 - 3 x + 1. The coefficient of x^2 is 2 and the constant term is 1. The product of 2 and 1 is 2. The factors of 2 which sum to -3 are -1 and -2. So 2 x^2 - 3 x + 1 = 2 x^2 - 2 x - x + 1 = -(2 x - 1) + x (2 x - 1):
8 x (2 x - 1) - (2 x - 1)
Factor 2 x - 1 from x (2 x - 1) - (2 x - 1):
Answer: 8 (2 x - 1) (x - 1)
G -1/6= 1/6
Move -1/6 to the other side
sign changes from -1/6 to 1/6
G-1/6+1/6=1/6+1/6
G = 2/6
Reducing: divide by 2 for 2/6
2/2= 1
2/6= 3
Answer : G= 2/6= 1/3
Answer:
11. 
Take out 2x ( greatest common factor )
Factor
Don't forget about the 2x we took out earlier
Solution to 11: 
12. 
This is the difference of squares, so let's use the formula...
if, 
and 
then, the Solution to 12 is:
13. 
First of all, you must find the greatest common factor because there isn't anything else you can do.
Now you can see the difference of cubes...
so, the Solution to 13 is:
So that your final quotient is a simple answer and not a repeating decimal.
