Plug in x = 6 into the function
<span>f(6) = 6² + 5(6) - 9
</span>f(6) = 36 + 30 - 9
f(6) = 57
Answer:
She will have 1824.98 dollars in five years
Step-by-step explanation:
1500 X 1.04 ^ 5
Answer:
(-1,-6)
Step-by-step explanation:
![f(x)=x^2+6x+3](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B6x%2B3)
![g(x)=f(x-2)](https://tex.z-dn.net/?f=g%28x%29%3Df%28x-2%29)
(Replaced x in f with (x-2))
(Used
and distributive property)
(Gathered like terms)
(Simplified)
The vertex of a parabola occurs at
.
Let's find
first.
![\frac{-2}{2(1)}=-1](https://tex.z-dn.net/?f=%5Cfrac%7B-2%7D%7B2%281%29%7D%3D-1)
Now we can obtain
which is
in this case:
![g(x)=x^2+2x-5](https://tex.z-dn.net/?f=g%28x%29%3Dx%5E2%2B2x-5)
![g(-1)=(-1)^2+2(-1)-5](https://tex.z-dn.net/?f=g%28-1%29%3D%28-1%29%5E2%2B2%28-1%29-5)
![g(-1)=1-2-5](https://tex.z-dn.net/?f=g%28-1%29%3D1-2-5)
![g(-1)=-1-5](https://tex.z-dn.net/?f=g%28-1%29%3D-1-5)
.
The vertex is (-1,-6).
8/25,38%,.41 hope this helps you ot