Answer:
266.6 per year
Step-by-step explanation:
53392 / 20 = 266.6
= 266.6 per year
ANSWER
The vertex of the graph of
![y = \frac{1}{3} {(x - 9)}^{2} + 5](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%7B%28x%20-%209%29%7D%5E%7B2%7D%20%20%2B%205)
is
![(9,5)](https://tex.z-dn.net/?f=%289%2C5%29)
EXPLANATION
The vertex form of a parabola is given by
![y = a {(x - h)}^{2} + k](https://tex.z-dn.net/?f=y%20%3D%20a%20%7B%28x%20-%20h%29%7D%5E%7B2%7D%20%20%2B%20k)
where
![V(h,k)](https://tex.z-dn.net/?f=V%28h%2Ck%29)
is the vertex of the parabola.
The function given to us is
![y = \frac{1}{3} {(x - 9)}^{2} + 5](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%7B%28x%20-%209%29%7D%5E%7B2%7D%20%20%2B%205%20)
This is already in the vertex form.
When we compare this to the general vertex form, we have,
![a = \frac{1}{3}](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20)
![h = 9](https://tex.z-dn.net/?f=h%20%3D%209)
and
![k = 5](https://tex.z-dn.net/?f=k%20%3D%205)
Therefore the vertex of the parabola is
![V(9,5)](https://tex.z-dn.net/?f=V%289%2C5%29)
Hence the correct answer is option A.
Answer:
the first piece of rope would be 4 feet
Step-by-step explanation:
4 + 8 + 9 = 21
Y=3x-4
Because your slope is 3 when you do change in y over change in x. Y intercept is neg 4.
The three slices are each approximately 1/9 pound in weight, and, since 2/9 is less than 1/4, he can eat 2 whole slices and be okay. If he wants to eat partial slices, then he could eat 2 1/4 slices, as each slice weighs 4/36 pounds, so 2 slices would equal 8/36 pounds, leaving 1/36 pound left over in his diet, which is a quarter of the third slice.
2.25