Answer:
8
Step-by-step explanation:
This one is similar to the other one done with graphs , the only difference is we have equations instead of graphs.
Like the other one, we want to find f(2) and whatever that equals we plug into g(x) to find g(f(2))
So first lets find f(2)
f(x) = x - 4
f(2) = 2 - 4
f(2) = -2
g(f(2)) , f(2) = -2 , g(-2)
now lets find g(-2)
g(x) = -2x + 4
g(-2) = -2(-2) + 4
multiply -2 and -2 to get 4
g(-2) = 4 + 4
add 4 and 4 to get 8
g(-2) = 8
We can conclude that g(f(2)) = 8
Answer:
400 in²
Step-by-step explanation:
(20×16) + (½×8×20)
320 + 80 = 400 in²
Answer:
Step-by-step explanation:
To find the equation of a line using slope and a point, first use the slope to create the basic line using the slope and work from there.
For instance, the base equation here is
This line passes through the point (0, 0).
You can then plug in a value for x. In this case, use the value of 3, as it corresponds with your question.
A point on the line of y = 2x would thus be (3, 6).
To make the y-value equal -3, you must then subtract from the original equation. There are 9 units between 6 and -3, so you must subtract nine units in the equation. You should get this at the end:
Answer: y=5.25x+12.50
Step-by-step explanation:
The original 12.50 is how much she pays each month regardless of rented movies, it is the 0 value and doesn't change. Each rented movie costs 5.25 (17.75-12.50=5.25) and that value would be multiplied by the amount of movies she rents that month, and then added onto the original base value.