Answer:
Step-by-step explanation:
F(g(x))
sub g(x) for every x in f(x)
f(g(x))=2(g(x))-4
f(x^2)=2(x²)-4
f(g(x))=2x²-4
We assume the slope is a constant, so the rise is proportional to the run.
... y/(4 ft) = (31 ft)/(3 ft)
... y = (4/3)·(31 ft)
... y = 41 1/3 ft = 41 ft 4 in
Answer:
6 hours
we see it at the x value of 6 on the graph
Step-by-step explanation:
I graphed it too using desmos then located the point where they cross, the solution point, and it was at the x value of 6 and they will have made $50 by the way in case you wanted to know that too so we see that on the graph at the point (6,50) is where they make the same amount of money.
The function is in polar coordinates.
When this is the case, to pass to rectagular (cartesian) coordinates you use:
x = r cos(theta)
y = r sin(theta)
Then,
x = [2cos(theta) + 2sin(theta)]cos(theta) =
= 2 [cos(theta)]^2 + 2sin(theta)cos(theta) = 2 [cos(theta)]^2 + sin(2theta)
y = [2cos(theta) + 2sin(theta)]sin(theta) =
= 2 cos(theta)sin(theta) + 2[sin(theta)]^2 = sin(2theta) + 2[sin(theta)]^2