Answer:
2
- 5
Step-by-step explanation:
The axis of symmetry of a quadratic function
![f(x)=ax^2+bx+c](https://tex.z-dn.net/?f=f%28x%29%3Dax%5E2%2Bbx%2Bc)
is given by the equation
![x=h](https://tex.z-dn.net/?f=x%3Dh)
, where h is the x-coordinate of the vertex and is equal to
![\frac{-b}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D)
.
1.
![f(x)=4x^2-1 \\ a=4 \\ b=0 \\ \Downarrow \\ h=\frac{-0}{2 \times 4}=0 \\ \\ \hbox{the axis of symmetry:} \\ x=0](https://tex.z-dn.net/?f=f%28x%29%3D4x%5E2-1%20%5C%5C%0Aa%3D4%20%5C%5C%20b%3D0%20%5C%5C%20%5CDownarrow%20%5C%5C%0Ah%3D%5Cfrac%7B-0%7D%7B2%20%5Ctimes%204%7D%3D0%20%5C%5C%20%5C%5C%0A%5Chbox%7Bthe%20axis%20of%20symmetry%3A%7D%20%5C%5C%0Ax%3D0)
2.
![g(x)=x^2-8x+5 \\ a=1 \\ b=-8 \\ \Downarrow \\ h=\frac{-(-8)}{2 \times 1}=\frac{8}{2}=4 \\ \\ \hbox{the axis of symmetry:} \\ x=4](https://tex.z-dn.net/?f=g%28x%29%3Dx%5E2-8x%2B5%20%5C%5C%0Aa%3D1%20%5C%5C%20b%3D-8%20%5C%5C%20%5CDownarrow%20%5C%5C%20h%3D%5Cfrac%7B-%28-8%29%7D%7B2%20%5Ctimes%201%7D%3D%5Cfrac%7B8%7D%7B2%7D%3D4%20%5C%5C%20%5C%5C%0A%5Chbox%7Bthe%20axis%20of%20symmetry%3A%7D%20%5C%5C%0Ax%3D4)
3.
![h(x)=-3x^2-12x+1 \\ a=-3 \\ b=-12 \\ \Downarrow \\ h=\frac{-(-12)}{2 \times (-3)}=\frac{12}{-6}=-2 \\ \\ \hbox{the axis of symmetry: \\ x=-2](https://tex.z-dn.net/?f=h%28x%29%3D-3x%5E2-12x%2B1%20%5C%5C%0Aa%3D-3%20%5C%5C%20b%3D-12%20%5C%5C%20%5CDownarrow%20%5C%5C%20h%3D%5Cfrac%7B-%28-12%29%7D%7B2%20%5Ctimes%20%28-3%29%7D%3D%5Cfrac%7B12%7D%7B-6%7D%3D-2%20%5C%5C%20%5C%5C%0A%5Chbox%7Bthe%20axis%20of%20symmetry%3A%20%5C%5C%0Ax%3D-2)
The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).
Pay attention to the procedure:
<span>(5(10)^2)^3/(10(5))^4. What we need is plug in the corresponding x and y values
Then you have to do x squared before you multiply it by 5 like this:
(5(100))^3/(10(5))^4
Now solve for what is in the top parenthesis.
(500)^3/(10(5))^4
500^3=125000000
Now work on the denominator.
Do what is inside the parenthesis first
10*5=50
Now (50)^4=6250000
Now divide the numerator and the denominator.
125000000/6250000
Which equals 20, Please check if I'm wrong but I think this is what you need </span>
Answer:
Step-by-step explanation:
108.8
102+119+103+114+106
/5
=
108.8
The equation would be 8x +3 + -19. Substitute your given answers in. Your answer would be B. Negative 2