Answer:
13
Step-by-step explanation:
(f∘g)(4) is another way of writing f(g(4)).
First, find g(4).
g(x) = 2x − 3
g(4) = 2(4) − 3
g(4) = 5
Now substitute into f(x).
f(x) = 4x − 7
f(g(4)) = 4g(4) − 7
f(g(4)) = 4(5) − 7
f(g(4)) = 13
Answer:
The volume for the sphere is 904.78
Answer: The unit rate of $96 spent in 4 hours is, $24 per hour.
Step-by-step explanation: To find the unit rate, you will need to write the information as a ratio, $96/4 hours. If you divide 96 by 4 you will get 24. That means this person spends $24 every hour or $24 per hour or $24/1 hour.
If the line is perpendicular to "y= -3x +2" its slope must be the opposite reciprocal of the -3. The opposite reciprocal of -3 is 1/3 so that is the slope of your line.
Now utilize y=mx+b and your point (3,-1) to find the y intercept.
-1=1/3(3)+b
b=-2
Equation: y=1/3x-2
Answer:
2/9
Step-by-step explanation:
5 dimes and 5 pennies = 10 coins
P( dime) = number of dimes / total
=5/10 = 1/2
keep the dime
4 dimes and 5 pennies = 9 coins
P( penny) = number of penny / total
=4/9
P( dime, keep, penny) = 1/2 * 4/9 = 2/9