There is no absolute value an absolute value is like this I 2 I
134 divided by 8 = 16.75, round it to nearest number
they would need 17 cabins
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:
The three consecutive numbers are 34, 35, 36
Step-by-step explanation:
three consecutive numbers: x+(x+1)+(x+2)
x+x+1+x+2= 105
3x+3=105
-3 -3
3x= 102
3x/3= 102/3
34=x
But we also need to find (x+1) and (x+2)
34+1= 35
34+2=36
34+35+36= 105
The three consecutive numbers are 34, 35, 36
Hope this helps!
the formula is (degree)x(pi÷180)
36 x pi ÷ 180
0.63 rad