First, we are going to rewrite it as a parabola equation.
Rewrite.
![8y=-x^2+2x+47](https://tex.z-dn.net/?f=8y%3D-x%5E2%2B2x%2B47)
Divide by 8.
![y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7Bx%5E2%7D%7B8%7D%2B%5Cfrac%7Bx%7D%7B4%7D%2B%5Cfrac%7B47%7D%7B8%7D)
Factor out coefficient.
![y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B8%7D%5Cleft%28x%5E2-2x%5Cright%29%2B%5Cfrac%7B47%7D%7B8%7D)
Then, we are going to convert x into square form.
![y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B8%7D%5Cleft%28x%5E2-2x%2B1%5Cright%29%2B%5Cfrac%7B1%7D%7B8%7D%5Ccdot%20%5C%3A1%2B%5Cfrac%7B47%7D%7B8%7D)
Convert the whole expression into square form.
![y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B8%7D%5Cleft%28x-1%5Cright%29%5E2%2B%5Cfrac%7B1%7D%7B8%7D%5Ccdot%20%5C%3A1%2B%5Cfrac%7B47%7D%7B8%7D)
Simplify.
![y=-\frac{1}{8}\left(x-1\right)^2+6](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B8%7D%5Cleft%28x-1%5Cright%29%5E2%2B6)
Subtract 6 from both sides.
![y-6=-\frac{1}{8}\left(x-1\right)^2](https://tex.z-dn.net/?f=y-6%3D-%5Cfrac%7B1%7D%7B8%7D%5Cleft%28x-1%5Cright%29%5E2)
Divide by coefficient.
![-8\left(y-6\right)=\left(x-1\right)^2](https://tex.z-dn.net/?f=-8%5Cleft%28y-6%5Cright%29%3D%5Cleft%28x-1%5Cright%29%5E2)
Rewrite in standard form.
The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)
The answer should be A. 4.5
Because line x is just over half of the length of the line that is 8ft
Answer:
the answer for this problem should be half of 3.1 sense 2.5 is half of 5 so split 3.1 in have to get 1.55. hope this helps.
Answer:
Step-by-step explanation:
- Initial number = 10
- Weekly growth rate = 15% or 1.15 times
<u>Equation for this relationship:</u>
- V(t) = 10*1.15^t, where t - number of weeks
<u>Number of views in 5 weeks:</u>
- V(5) = 10*1.15^5 = 20 views (rounded)
G(-4) =1
i hope this helps!