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)
The mean will be 5 points higher...so...c would be the answer!
Answer- 8:5:7
Explanation:
Find the greatest common factor for all of them. Which is 6.
Then you just divide each number by 6
48/6= 8
30/6= 5
42/6= 7
Making it 8:5:7
Answer:

Step-by-step explanation:
we would like to solve the following equation for x:

to do so isolate
to right hand side and change its sign which yields:

simplify Substraction:

get rid of only x:

simplify addition of the left hand side:

divide both sides by q+p Which yields:

cross multiplication:

distribute:

isolate -pq to the left hand side and change its sign:

rearrange it to standard form:

now notice we end up with a <u>quadratic</u><u> equation</u> therefore to solve so we can consider <u>factoring</u><u> </u><u>method</u><u> </u><u> </u>to use so
factor out x:

factor out q:

group:

by <em>Zero</em><em> product</em><em> </em><em>property</em> we obtain:

cancel out p from the first equation and q from the second equation which yields:

and we are done!
if there was a graph I would be able to help you but you have on here how many distinct Circles of radius 2 units are on the coordinate plane and pass through exactly two of the labeled point on this graph? Where is the graph?