Answer:
8/5
Step-by-step explanation:
means 
.
Start with the inside first: h(-3).
h(-3) means use the function called h and replace the x with -3. The expression that is called h is 4-x.
4-x evaluated at x=-3 gives us 4-(-3)=4+3=7.
So the value for h(-3) is 7, or h(-3)=7.
Now this is what we thus far:
.
g(7) means use the function called g and replace x with 7. The expression that is called g is (x+1)/(x-2).
(x+1)/(x-2) evaluated at x=7 gives us (7+1)/(7-2)=(8)/(5)=8/5.
This is our final answer:
.
Answer:
≈ 30.63 cm²
Step-by-step explanation:
The shaded area is calculated by subtracting the area of the inner circle from the area of the outer circle.
outer circle has radius = 8 ÷ 2 = 4 and inner circle has radius = 5 ÷ 2 = 2.5
shaded area = πr₁² - πr₂² (r₁ is outer and r₂ is inner )
A = π (4² - 2.5²)
= π(16 - 6.25) = 9.75π ≈ 30.63 cm²
Answer:
Step-by-step explanation:
We see that the two terms share an x, so we can pull that out:
Now notice that we have a difference of squares (
). Given a difference of squares, 
, this can always be factored into 
. We can use this in this case: 
.
So, our final factorized form is: .
Hope this helps!
Answer:
Q(-10) = 299
Step-by-step explanation:
(-10 to the second power is 100 (negative times a negative equals a positive)
3 times 100 equal 300
Answer:
48.5
Step-by-step explanation:
