Answer:
Triangle A and Triangle B
F(x) means the function defined at that x value. It really just means what y value when x is equal to that input. So we can see clearly that A is false. They’re nearly opposite y values. B is also obviously false since the y values aren’t equal. C is the same case, the y values aren’t equal. D is true. When x = -2 for both functions, we can see the y value is the same. They also intercept, so that’s a pretty dead giveaway
D.)
39 + 0.16m = 25 + 0.24m
39 - 25 = 0.24m - 0.16m
14 = 0.08m
14 / 0.08 = m
175 = m <=== they will cost the same at 175 miles
39 + 0.16(175) = 39 + 28 = $ 67
25 + 0.24(175) = 25 + 42 = $ 67
they will both cost $ 67 <=====
Answer:
.78 cents
Step-by-step explanation:
To find the tax amount on any number, divide that number by 100 and then multiple it by the tax percentage.
In this case that would look like: $19.50/100 times 4 =.78
The standard form of a quadratic equation is

, while the vertex form is:

, where (h, k) is the vertex of the parabola.
What we want is to write

as

First, we note that all the three terms have a factor of 3, so we factorize it and write:

.
Second, we notice that

are the terms produced by

, without the 9. So we can write:

, and substituting in

we have:
![\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11]](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20y%3D3%28x%5E2-6x-2%29%3D3%5B%28x-3%29%5E2-9-2%5D%3D3%5B%28x-3%29%5E2-11%5D)
.
Finally, distributing 3 over the two terms in the brackets we have:
![y=3[x-3]^2-33](https://tex.z-dn.net/?f=y%3D3%5Bx-3%5D%5E2-33)
.
Answer: