Hey there!!
f(x) is basically ' y '
In order to inverse a equation, we will need to switch the values of x and y
The equation :

Now switching the positions :




This is the inverse.
Hope my answer helps!
I'm guessing S^20 is actually referring to the 20th partial sum

, with

in the arithmetic case, and

in the geometric case.
(a) Combining like terms, we have

and invoking the formula

we end up with

(b) Multiply

by 1.1, then subtract this from

:


Answer:
Graph shifts five units down.
Step-by-step explanation:
Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
The answer is a total of 9 hours