Answer:
![V(x) = 4x^3 - 24x^2+35x](https://tex.z-dn.net/?f=V%28x%29%20%3D%204x%5E3%20%20-%2024x%5E2%2B35x)
Step-by-step explanation:
Given
![V(x) = (7 - 2x)(5 - 2x)(x)](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%287%20-%202x%29%285%20-%202x%29%28x%29)
Required
Expand the expression
![V(x) = (7 - 2x)(5 - 2x)x](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%287%20-%202x%29%285%20-%202x%29x)
Expand bracket
![V(x) = (7 - 2x)(5 * x - 2x * x)](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%287%20-%202x%29%285%20%2A%20x%20-%202x%20%2A%20x%29)
![V(x) = (7 - 2x)(5x - 2x^2)](https://tex.z-dn.net/?f=V%28x%29%20%3D%20%287%20-%202x%29%285x%20-%202x%5E2%29)
Further expand bracket
![V(x) = 7(5x - 2x^2) - 2x(5x - 2x^2)](https://tex.z-dn.net/?f=V%28x%29%20%3D%207%285x%20-%202x%5E2%29%20-%202x%285x%20-%202x%5E2%29)
![V(x) = 35x - 14x^2 - 10x^2 + 4x^3](https://tex.z-dn.net/?f=V%28x%29%20%3D%2035x%20-%2014x%5E2%20-%2010x%5E2%20%2B%204x%5E3)
![V(x) = 35x - 24x^2 + 4x^3](https://tex.z-dn.net/?f=V%28x%29%20%3D%2035x%20-%2024x%5E2%20%2B%204x%5E3)
![V(x) = 4x^3 - 24x^2+35x](https://tex.z-dn.net/?f=V%28x%29%20%3D%204x%5E3%20%20-%2024x%5E2%2B35x)
Answer:
co-efficient = 1/3
Step-by-step explanation:
x/3 is also the same as x(1/3)
Answer:
10.75
Step-by-step explanation:
The cost of an adult ticket is £6 more than that of a child ticket, so will be shown by c+6.
Now, we are told that the cost of four child tickets and two adult tickets is £40.50, so we can put this in an equation and solve for c:
(c+6)+(c+6)+c+c+c+c=40.50
6c+12=40.50
6c=28.50
c=4.75
so, a childs ticket is 4.75
now to find the cost of an adult ticket you add 6,
4.75 + 6
= 10.75