Answer:
-15
Step-by-step explanation:
start from the inside and go out.
So first plug in -3 into g(x)
g(-3) = -3 - 7 = -10
then plug in -10 into f(x)
f(-10) = 2(-10) + 5 = -15
so f(g(x)) = -15
Answer:
( 1, -2)
step-by-step explanation:
- original coordinates of C: (4, -2)
if reflected over y-axis: use the formula: (x,y) → (-x,y)
- new coordinates: (-4, -2)
then if translated 5 units horizontally, there will be change in x axis:
- new coordinates: (-4+5, -2) → ( 1, -2)
8a+4s=840
a=s+30
8(s+30)+4s=840
12s+240=840
12s=600
s=50
A=s+30
a=50+30
a=80
The drama play sold 80 adult tickets
Area of the shaded region is 540 – 65.25π.
Solution:
Length of the rectangle = 12 + 9 + 6 + 3 = 30 in
Width of the rectangle = 18 in
Radius of the larger circle (
) = 12 ÷ 2 = 6 in
Radius of the medium circle (
) = 9 ÷ 2 = 4.5 in
Radius of the smaller circle (
) = 6 ÷ 2 = 3 in
Area of the shaded region = Area of the rectangle – Area of the larger circle – Area of the medium circle – Area of the smaller circle




Area of the shaded region is 540 – 65.25π.