The product is the answer you receive when numbers are multiplied.
So, it'd be 35 * 208.
35 * 208 = 7,208.
The product of 35 and 208 would be 7,208. It's quite simple..
Answer: ![P(x)= - 0.4x ^ 3 +100x^2-900x+500](https://tex.z-dn.net/?f=P%28x%29%3D%20%20-%200.4x%20%5E%203%20%2B100x%5E2-900x%2B500)
Step-by-step explanation:
Given: Monthly cost : ![C(x) = 600x ^ 2 + 300x](https://tex.z-dn.net/?f=C%28x%29%20%3D%20600x%20%5E%202%20%2B%20300x)
Monthly revenue :
, where x is in thousands of books sold.
Profit = Revenue - Cost
Now , Profit function : P(x) = R(x)-C(x)
![=- 0.4x ^ 3 + 700x ^ 2 - 600x + 500 - ( 600x ^ 2 + 300x )\\\\= - 0.4x ^ 3 + 700x ^ 2 - 600x + 500 -600x ^ 2 - 300x\\\\= - 0.4x ^ 3 +100x^2-900x+500](https://tex.z-dn.net/?f=%3D-%200.4x%20%5E%203%20%2B%20700x%20%5E%202%20-%20600x%20%2B%20500%20-%20%28%20600x%20%5E%202%20%2B%20300x%20%29%5C%5C%5C%5C%3D%20-%200.4x%20%5E%203%20%2B%20700x%20%5E%202%20-%20600x%20%2B%20500%20-600x%20%5E%202%20-%20300x%5C%5C%5C%5C%3D%20%20-%200.4x%20%5E%203%20%2B100x%5E2-900x%2B500)
Hence, ![P(x)= - 0.4x ^ 3 +100x^2-900x+500](https://tex.z-dn.net/?f=P%28x%29%3D%20%20-%200.4x%20%5E%203%20%2B100x%5E2-900x%2B500)
Am I supposed to answer the sum of each one ?
Hello,
To solve this function for f(4) we need to plug 4 into f(x) and the result will be our answer. We know that f(x) is
![3x^2-7](https://tex.z-dn.net/?f=3x%5E2-7)
. Plugging in 4 we get
![3(4)^2-7=41](https://tex.z-dn.net/?f=3%284%29%5E2-7%3D41)
. Therefore, f(4)=41. Hope this helps!