Answer:
2
Step-by-step explanation:
You are trying to find (f' o f)(2). This means that you need to put f(x) into f'(x) and solve for 2.
First, find f'(x). To do this, take the original function and switch the x and y values.
y = 2x⁵ + 12
x = 2y⁵ + 12
x - 12 = 2y⁵
(x - 12)/(2) = y⁵
y = ⁵√(x - 12)/(2)
Now, you need to put f(x) into the inverse function through the x-value. Simplify completely.
y = ⁵√((2x⁵ + 12) - 12)/(2)
y = ⁵√((2x⁵)/(2)
y = ⁵√x⁵
y = x
Now plug in the value given to you.
(f⁻¹ o f)(2) = 2
The answer is 2.
Answer:
C. 32%
Step-by-step explanation:
First, you have to determine the amount they spent on entertainment and food:
Salary $2,700
Taxes: 10%: $270
Fixed expenses: $1,161
Savings: $405
$2,700-$270-$1,161-$405= $864
Alycia spent $864 on entertainment and food. Now, you have to find the percent of her income that this amount represents:
($864/$2,700)*100= 32%
According to this, the answer is that the percent of her income that was spent on entertainment and food is 32%.
Answer:
It means "energy equals mass times the speed of light squared"
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
To form a proportion, you need two equal ratios.
Divide the numerator by the denominator of all fractions.
Any two fractions that are equal are a proportion.
A.
4/9 = 0.4444...
9/4 = 2.25
Fractions are not equal. Not a proportion.
B.
4/10 = 0.4
10/25 = 0.4
Fractions are equal. Proportion
C.
4/11 = 0.363636...
6/13 = 0.46153846...
Fractions are not equal. Not a proportion.
D.
I can't read the fractions, but do the same I did above.
Divide each numerator by the denominator and compare the decimals. If they are equal its a proportion. If theya re not equal, it is not a proportion.
As the pen is a triangle, the third side can either be the hypotenuse or a regular side. If the third side is the hypotenuse, it's length would be
feet. If the third side is a regular side, than it would be
≈12.689 feet. This means your third side can either be 17 feet long or 12.689 feet long.
