Answer:
f(x) = 54(two-thirds) Superscript x minus 1
Step-by-step explanation:
Given that:
First peak : 36 / 54=2/3
Second peak : 24 / 36 = 2/3
The common ratio here is 2/3 ; which mean each bounce height is 2/3 of previous height
Modeling this using geometric progression :
An=a1r^(n-1)
An = nth term of a geometric progression
a1=first term
r=common ratio = 2/3
n = nth term
a1=54
Substituting into the above formular :
An=54(2/3)^(n-1)
Answer:
-6x+12
-9+5a
7x+63
8y-4/5x-12
Step-by-step explanation:
To solve these all you have to do is take the number outside of the parenthesis and multiply them by each term.
-3(2x)-3(-4) All I did here was expand the problem to show what i mean by terms.
-6x+12
Do this for each problem.
0.1(-90)+0.1(50a)
-9+5a
-7(-x)-7(-9) For this one you are taking negatives times negatives so each answer will be positive.
7x+63
4/5(10y)+4/5(-x)+4/5(-15)
8y-4/5x-12
5,000-500-50-5 they are not all the same value.
The amount of milk containing 6% butterfat and 1% butterfat are 260 gallons and 65 gallons respectively.
<u><em>Explanation</em></u>
Suppose, the amount of milk containing 6% butterfat is 
gallons
As the amount of mixture of milk should be 325 gallons, so the amount of milk containing 1% butterfat will be: 
gallons
Given that, the mixture of milk is containing 5% butterfat. So, the equation will be....
So, the amount of milk containing 6% butterfat is 260 gallons and the amount of milk containing 1% butterfat is (325-260) gallons = 65 gallons.
300/250 = 6/5
1/5 = 20%
You are correct, well done.
