Answer:
a
Step-by-step explanation:
given
3(x - 2) < 18 ← distribute the left side
3x - 6 < 18 ( add 6 to both sides )
3x < 24 ( divide both sides by 3 )
x < 8 → a
The answer is 89078.88 ft
1 mile = 5280 feet
Multiply 16.871 by the length value of 5280
16.871 * 5280 = 89078.88 ft
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
Determine the maximum profit
This is calculated by calculating the maximum of the function.
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 is:
![Max = \frac{-b}{2a}](https://tex.z-dn.net/?f=Max%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
So: ![y=-x^2+64x-292](https://tex.z-dn.net/?f=y%3D-x%5E2%2B64x-292)
We have that
![a = -1](https://tex.z-dn.net/?f=a%20%3D%20-1)
![b = 64](https://tex.z-dn.net/?f=b%20%3D%2064)
![c = -292](https://tex.z-dn.net/?f=c%20%3D%20-292)
![Max = \frac{-b}{2a}](https://tex.z-dn.net/?f=Max%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
![Max = \frac{-64}{2 * -1}](https://tex.z-dn.net/?f=Max%20%3D%20%5Cfrac%7B-64%7D%7B2%20%2A%20-1%7D)
![Max = \frac{-64}{-2}](https://tex.z-dn.net/?f=Max%20%3D%20%5Cfrac%7B-64%7D%7B-2%7D)
![Max = 32](https://tex.z-dn.net/?f=Max%20%3D%2032)
<em>Hence, the maximum amount of profit is 32</em>
The answer is 118
i hope this helps