Answer:
Positive Exponent form:
Expanded Form: 1/(5×5×5×5) Simplified Form: ![\frac{1}{625}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B625%7D)
Answer:
2.63%
Step-by-step explanation:
11.3/100*23.3/100*100%
My present age - x
Mom's age - 2x + 12
My age after 8 yrs - x +8
My mom's age after 8 years - 2x+20
Equation formed-
3(x+8)-20 = 2x+20
3x +24 -20 = 2x +20
x = 20-4 = 16
Therefore, my present age = x = 16 yrs
And my mom's present age = 2x + 12 = 32+12 = 44
Quadratic Equation:
![y=-x^2+12x-11](https://tex.z-dn.net/?f=y%3D-x%5E2%2B12x-11)
What is the Vertex?
Vertex Form:
![y=a(x - h)^2 + k](https://tex.z-dn.net/?f=y%3Da%28x%20-%20h%29%5E2%20%2B%20k)
, where (h, k<span>) is the vertex of the parabola.
</span>
![y=-x^2+12x-11](https://tex.z-dn.net/?f=y%3D-x%5E2%2B12x-11)
![y=(-x^2+12x)-11](https://tex.z-dn.net/?f=y%3D%28-x%5E2%2B12x%29-11)
![y=-1(x^2-12x)-11](https://tex.z-dn.net/?f=y%3D-1%28x%5E2-12x%29-11)
![y=-1(x^2-12x+36-36)-11](https://tex.z-dn.net/?f=y%3D-1%28x%5E2-12x%2B36-36%29-11)
![y=-1(x^2-12x+36)+36-11](https://tex.z-dn.net/?f=y%3D-1%28x%5E2-12x%2B36%29%2B36-11)
![y=-1(x-6)^2+25](https://tex.z-dn.net/?f=y%3D-1%28x-6%29%5E2%2B25)
<span>Vertex is (6,25)
Axis of Symmetry?
This is just the h value so the AoS = 6
Total Distance? (I assume x-intercepts)
</span>
![y=-x^2+12x-11](https://tex.z-dn.net/?f=y%3D-x%5E2%2B12x-11)
![y=-1(x^2-12x+11)](https://tex.z-dn.net/?f=y%3D-1%28x%5E2-12x%2B11%29)
![y=-(x-1)(x-11)](https://tex.z-dn.net/?f=y%3D-%28x-1%29%28x-11%29)
x-intercepts are (1,0) and (11,0) so in between them was the flight.
Domain and Range?
I'm not sure what domain and range are but I found a calc online for it and it says
Domain: <span><span>(<span><span>−∞</span>,∞</span>)</span>,<span>{<span>x|x∈R</span>}</span></span>Range: <span><span>(<span><span>−∞</span>,25</span>]</span>,<span>{<span>y|y≤25</span>}</span></span>