Answer:
B and C
Step-by-step explanation:
It is going down
Answer:
3y - 10
———
2
Step-by-step explanation:
Profit function is the difference between the revenue function, and the cost function
The polynomial that represents their share factor is given as:
![P(x) = 6x^2 + 11 x - 35](https://tex.z-dn.net/?f=P%28x%29%20%3D%206x%5E2%20%2B%2011%20x%20-%2035)
<h3>Q1. The total profit</h3>
This means that we calculate P(10).
So, we have:
![P(10) = 6(10)^2 + 11(10) - 35](https://tex.z-dn.net/?f=P%2810%29%20%3D%206%2810%29%5E2%20%2B%2011%2810%29%20-%2035)
![P(10) = 675](https://tex.z-dn.net/?f=P%2810%29%20%3D%20675)
Hence, the total profit when x = 10 is (d) 675
<h3>Q2. The possible expressions</h3>
We have:
![P(x) = 6x^2 + 11 x - 35](https://tex.z-dn.net/?f=P%28x%29%20%3D%206x%5E2%20%2B%2011%20x%20-%2035)
Factorize the above expression
![P(x) = (2x + 7)(3x - 5)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%282x%20%2B%207%29%283x%20-%205%29)
Hence, the possible expressions for the individual shares are (b) 3x - 5 and 2x + 7
<h3>Q3. Equal shares</h3>
When their shares are equal, we have:
![2x + 7 = 3x - 5](https://tex.z-dn.net/?f=2x%20%2B%207%20%3D%203x%20-%205)
Collect like terms
![3x - 2x = 7 + 5](https://tex.z-dn.net/?f=3x%20-%202x%20%3D%207%20%2B%205)
![x =12](https://tex.z-dn.net/?f=x%20%3D12)
Hence, the value of x when their shares are equal is (a) 12
<h3>Q4. The Sum of their shares</h3>
The sum of their shares is represented as:
![Sum = 2x + 7 +3x - 5](https://tex.z-dn.net/?f=Sum%20%3D%202x%20%2B%207%20%20%2B3x%20-%205)
Collect like terms
![Sum = 2x +3x + 7 - 5](https://tex.z-dn.net/?f=Sum%20%3D%202x%20%2B3x%20%2B%207%20%20-%205)
![Sum = 5x+ 2](https://tex.z-dn.net/?f=Sum%20%3D%205x%2B%202)
Hence, the sum of their shares is (b) 5x + 2
Read more about profit functions at:
brainly.com/question/10009899
Answer:
![\fbox{Option D}](https://tex.z-dn.net/?f=%5Cfbox%7BOption%20D%7D)
Step-by-step explanation:
Let me know if you want the full explanation. Have a great day! ❤
Hi! Let me help you!
- Remember, factoring looks like so:
- ab+ac=a(b+c)
- So, we need to find the greatest common factor (G.C.F.) of the polynomial.
- In this case, 6 is the GCF, so we factor it out:
- 6x²+66x+60
- Divide 6, 66 and 60 by 6:
- x²+11x+10
<u>Answer:</u>
x²+11x+10
Hope you find it helpful.
![\rm{Stargazing{\bold{WithJoy}](https://tex.z-dn.net/?f=%5Crm%7BStargazing%7B%5Cbold%7BWithJoy%7D)