Answer: 13 groups
Step-by-step explanation:
78/6 = 13
F(x) = (1 - 0.25)x = 0.75x
f(x) = 0.75x
g(x) = (1 - 0.2)x = 0.8x
g(x) = 0.8x
(f o g)(x) = f(g(x)) = 0.75(0.8x) = 0.6x
(f o g)(x) = 0.6x
(g o f)(x) = 0.8(0.75x) = 0.6x
(g o f)(x) = 0.6x
It does not matter which one you apply first.
A example can be Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. The answer would be Any more than 12 weeks and his account balance would be less than $200. Any number of weeks less than 12 and his account would stay above $200.
Answer:
Jenkins: 25 hours Alexanders: 20 hours
Step-by-step explanation:
To solve this problem we need to set up two equations. We know the rates of each sprinkler's output and how much total water was output. We know how many hours the sprinklers were on. We are looking for how long each sprinkler was used.
We can make a represent hours because we know the rate of sprinkler's output is per hour.
25a+40b=1425
a+b=45
Now to solve this system of equations we need to isolate a variable on one equation to plug into the other.
a+b=45
a=45-b
Now we can plug this in for a in the other equation.
25a+40b=1425
25(45-b)+40b=1425
Distribute 25 into the parenthesis.
1125-25b+40b=1425
1125+15b=1425
15b=300
b=20
Now we know that the Alexander family used their sprinklers for 20 hours. We can plug this back into the other equation to find b.
a+b=45
a+20=45
a=25
The Jenkins used the sprinklers for 25 hours, and the Alexanders used them for 20 hours.
Answer:
The answer would be D. 5
Step-by-step explanation:
