Answer:
C. 9
Step-by-step explanation:
The vertex form of the function is given by;
![f(x)=a(x-h)^2+k](https://tex.z-dn.net/?f=f%28x%29%3Da%28x-h%29%5E2%2Bk)
where
is the vertex of the parabola.
![f(x)=a(x-1)^2+1](https://tex.z-dn.net/?f=f%28x%29%3Da%28x-1%29%5E2%2B1)
We substitute a third point say, (3,5) to find the value of a;
![5=a(3-1)^2+1](https://tex.z-dn.net/?f=5%3Da%283-1%29%5E2%2B1)
![5-1=a(2)^2](https://tex.z-dn.net/?f=5-1%3Da%282%29%5E2)
![4=4a](https://tex.z-dn.net/?f=4%3D4a)
![1=a](https://tex.z-dn.net/?f=1%3Da)
The function is
![f(x)=(x-1)^2+1](https://tex.z-dn.net/?f=f%28x%29%3D%28x-1%29%5E2%2B1)
![f(6)=(6-1)^2+1](https://tex.z-dn.net/?f=f%286%29%3D%286-1%29%5E2%2B1)
![f(6)=(5)^2+1](https://tex.z-dn.net/?f=f%286%29%3D%285%29%5E2%2B1)
![f(6)=26](https://tex.z-dn.net/?f=f%286%29%3D26)
The average rate of change for the interval x=5 to x=6 is
![=\frac{f(6)-f(5)}{6-5}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bf%286%29-f%285%29%7D%7B6-5%7D)
![=\frac{26-17}{1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B26-17%7D%7B1%7D)
![=9](https://tex.z-dn.net/?f=%3D9)
22.95-8.95=14. Fourteen, is the total amount for your 8 pairs of socks. So now you take the 14 and divide it by 8 to find out how much EACH pair costs. Answer: $1.75 each pair of socks.
Answer:
190
Step-by-step explanation:
Answer: 235.5 feet
Step-by-step explanation:
In this case, we have to calculate the circumference of the track. The circumference will be calculated as:
= 2πr
Diameter = 75 feet.
Radius = 75/2 = 37.5 feet
Circumference = 2πr = 2 × 3.14 × 37.5 = 235.5feet