To solve for the volume of a prism, you have to do B*h/3. So whatever your height is, multiply by the area of the base to get the volume.
The answer is F(x) = 900x + 600
Let x stands for the number of months
The apartment is rented for $900 a month, so every month it will be paid 900x (for example, for one month (x = 1), you will pay 900 · 1 = $900, for three months (x = 5), you will pay 900 · 5 = $4500, etc.)
A security deposit is paid only once and is not dependent on the number of months. So, its value is only 600.
These two values must be summed up because both must be paid, nothing is to subtract. Therefore, the function f(x) for apartments that rent for $900 a month and a security deposit of $600 is:
f(x) = 900x + 600
Answer:
(1,3)
Step-by-step explanation:
The given function is
![y = - 2 {x}^{2} + 4x + 1](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20%2B%201)
Factor 2 from the first two terms
![y = - 2( {x}^{2} - 2x) + 1](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28%20%7Bx%7D%5E%7B2%7D%20%20%20-%202x%29%20%2B%201)
Add and subtract the square of half the coefficient of x.
![y = - 2( {x}^{2} - 2x + 1 - 1) + 1](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28%20%7Bx%7D%5E%7B2%7D%20%20%20-%202x%20%2B%201%20-%201%29%20%2B%201)
Let us create perfect square trinomial
![y = - 2( {x}^{2} - 2x + 1 ) + - 2 \times - 1 + 1](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28%20%7Bx%7D%5E%7B2%7D%20%20%20-%202x%20%2B%201%20%29%20%2B%20%20-%202%20%5Ctimes%20%20-%201%20%2B%201)
This implies that:
![y = - 2( {x - 1)}^{2}+ 3](https://tex.z-dn.net/?f=y%20%3D%20%20-%202%28%20%7Bx%20-%201%29%7D%5E%7B2%7D%2B%20%203)
Therefore the vertex is (1,3).
We got this by comparing to
![y = a( {x - h)}^{2} + k](https://tex.z-dn.net/?f=y%20%3D%20a%28%20%7Bx%20-%20h%29%7D%5E%7B2%7D%20%20%2B%20k)
Answer:
A
hope this helps
have a good day :)
Step-by-step explanation: