Answer:
11 and 16
Step-by-step explanation:
A good way to solve these is to work backwards.
X= larger and Y= smaller
if X is 5 more than 2Y than subtract 5 from the total
38 - 5 = 33
divide by 3
33/3 = 11
11 = Y and double that is 22 so add the five back into X and you get 16
Answer:
Average rate of change = 2
Step-by-step explanation:
We need to find the average rate of change of f(x) over the interval [-4,-1], so first we need to find the end points at x=-4 and x=-1.
From graph we see that y=-3 when x=-4, So the point is (-4,-3)
From graph we see that y=3 when x=-1, So the point is (-1,3)
Now we can plug these points into average rate of change formula:

where (a,f(a)) and (b,f(b)) are the given points.




Hence final answer is 2.
Step-by-step explanation:



So, f(x) is a composite function. This means that g(x) is inside of h(x); in other words, you would substitute g(x) for x in h(x).
Something happened to g(x) (in the form of h(x)) to turn it into f(x). You should notice that f(x) is simply g(x) raised to the third power.
Therefore, h(x) = x^3
You can check this by working it backwards.
Start with: h(x) = x^3
Substitute: x = g(x) = 4x^2-11
Now you have: h(x) = (g(x))^3 = (4x^2-11)^3
Hope this helps!