Answer:
Step-by-step Explanation:
==>Given:
Dimensions of a rectangular prism are expressed as follow:
Volume (V) = 15x² + x + 2
Height (h) = x²
==>Required:
Expression of the Base area (B)
==>Solution:
Volume (V) = Base (B) × Height (h)
15x² + x + 2 = B × x²
Divide both sides by x²
![\frac{15x² + x + 2}{x²} = B[tex]Base (B) = /frac{15x² + 1 + 2}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B15x%C2%B2%20%2B%20x%20%2B%202%7D%7Bx%C2%B2%7D%20%3D%20B%3C%2Fp%3E%3Cp%3E%5Btex%5DBase%20%28B%29%20%3D%20%2Ffrac%7B15x%C2%B2%20%2B%201%20%2B%202%7D%7Bx%7D)
Answer:
The answer is 36
Step-by-step explanation:
First solve in parenthesis; 4-1=3
Then multiply that by the 2 to get 6
Then raise that value by the square root of 6^2 = 36
X = k/p^3
125 = k/10^3 = k/1000
1000 x 125 = k
k = 125000
x = 125000/p^3
The profit is given by G = px - (125 + 2x) = p(125000/p^3) - 125 - 2(125000/p^3) = 125000/p^2 - 250000/p^3 - 125
For maximum profit:
dG/dp = 0
dG/dp = -250000/p^3 + 750000/p^4 = 0
750000 - 250000p = 0
p = 750000/250000 = 3
Therefore the price that will yeaild maximum profit is $3.
I hope this helps you
a=4
b=9
c= -1
disctirminant =b^2-4ac
disctirminant =9^2-4.4. (-1)
disctirminant =97
x1=-9+square root of 97/2.4= -9+square root of 97/8
x2= -9-square root of 97/2.4= -9-square root of 97/8
