The parametric equations seem to describe a circle of radius 3. Its area will be
A = πr² = π·3²
The appropriate choice seems to be
D. 9π
Answer:
the ones with a line above the numbers are repeating decimals
Answer:
D.) 15 years
Step-by-step explanation:
7.5% of 550 rabbits would be 41.25
if you are increasing till you get over 1,000
it would take 10.9 almost 11 years to get to 1,000
meaning it would be 15 years when your over 1,000 giving you 1,168.75
Answer: The last line is the answer
12 - 4x <u><</u> 20
20 - 12 = 8
-4x = 8
-4/4 = 8/-4
x = -2
New inequality: x <u>></u> -2
Step-by-step explanation:
Answer:
-4 4 4.5 8 20.5 32
Step-by-step explanation:
f
g(x) = f(g(x))
Given, f(x) = 2x²
and g(x) = x - 2
Now f(g(x)) = f(x - 2) = 2(x - 2)²
We know that (a - b)² = a² - b² + 2ab
Using this we expand f(g(x)). We get:
f(g(x)) = 2{x² - 4x + 4}
Similarly, g(f(x)) = g(2x²) = 2x² - 2
Now, f(g(-2)) = 2[(-2)² - 4(-2) + 4] = 2(16) = 32.
Also, g(f(-2)) = 2[(-2)² - 2] = 2(2) = 4.
f(g(3.5)) = 2{(3.5)² -4(3.5) + 4} = 2[12.25 - 14 + 4] = 2(2.25) = 4.5.
g(f(3.5)) = 2{(3.5)² -2} = 2{12.25 - 2} = 2(10.25) = 20.5.
f(g(0)) = 2{0 - 4(0) + 4} = 2(4) = 8.
g(f(0)) = 2{0 - 2} = 2(-2) = -4.
Arranging them in ascending order, we get:
-4 4 4.5 8 20.5 32 would be the sequence.