Your answer will be (9,5), the points where they intersect
Answer:
The maximum amount of profit is 32
Step-by-step explanation:
Given
![y=-x^2+64x-292](https://tex.z-dn.net/?f=y%3D-x%5E2%2B64x-292)
Required
Calculate the maximum amount of profit
A quadratic function is of the form
![y = ax^2 + bx + c](https://tex.z-dn.net/?f=y%20%3D%20ax%5E2%20%2B%20bx%20%2B%20c)
and its maximum, y_max is calculated using:
![y_{max} = \frac{-b}{2a}](https://tex.z-dn.net/?f=y_%7Bmax%7D%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
So for ![y=-x^2+64x-292](https://tex.z-dn.net/?f=y%3D-x%5E2%2B64x-292)
By comparison with ![y = ax^2 + bx + c](https://tex.z-dn.net/?f=y%20%3D%20ax%5E2%20%2B%20bx%20%2B%20c)
We have that:
and ![c = -292](https://tex.z-dn.net/?f=c%20%3D%20-292)
![y_{max} = \frac{-64}{2*-1}](https://tex.z-dn.net/?f=y_%7Bmax%7D%20%3D%20%5Cfrac%7B-64%7D%7B2%2A-1%7D)
![y_{max} = \frac{-64}{-2}](https://tex.z-dn.net/?f=y_%7Bmax%7D%20%3D%20%5Cfrac%7B-64%7D%7B-2%7D)
![y_{max} = 32](https://tex.z-dn.net/?f=y_%7Bmax%7D%20%3D%2032)
<em>Hence, the maximum amount of profit is 32</em>
96%=96/100=48/50=24/25
The simplest form of 96% as a fraction is 24/25
Answer: 21
Step-by-step explanation: We can rewrite this problem as:
What is 60% of 35?
"Percent" or "%" means "out of 100" or "per 100", Therefore 60% can be written as 60/100
When dealing with percent's the word "of" means "times" or "to multiply".
Finally, lets call the number of members we are looking for "m".
Putting this altogether we can write this equation and solve for
m
while keeping the equation balanced: m=60/100*35
m=2100/100
m=21