A(n) = –3 • 2⁽ⁿ⁻¹⁾
for n = 1 , A₁ = -3.(2)⁰ = -3
for n = 2 , A₂ = -3.(2)¹ = -6
for n = 3 , A₃ = -3.(2)² = -12
for n = 4 , A₄ = -3.(2)³ = -24
...........................................
for n = 8 , A₈ = -3.(2)⁷ = -384
So it took him 4/5 of an hour to paint 1/3
that means there is still 2/3 to go
so that means that he will have two times that time to paint the rest of the room
<u>4/5</u> = <u> ? </u>
1/3 2/3
using cross multiplication
(4/5)(2/3) = (1/3) (?)
8/15 = 1/3 ?
divide both sides by 1/3
so that will be 8/5
that means it will take 8/5 of an hour to complete the rest
or 12/5 total to do entire room
Hope this helps ;)
Answer:
In this problem, we are given the following functions:
and its inverse function:
First of all, we want to calculate 
. This can be obtained by substituting
x = 2
into f(x). Doing so, we find:
Then we want to calculate 
. We can do it by substituting
x = 1
into 
. Doing so,
Then we want to calculate 
, which can be found by calculating f(2) and then using it as input for 
We know that
f(2) = 1
Therefore,
Then we want to calculate 
, which can be calculated by plugging
x = -2
into . Doing so,
Then we want to calculate 
; by substituting
x = 4
into f(x), we find
Finally, we want to find 
We know already that
So we have:
51= 3k
divide both sides by 3
to get k by itself
51/3= 3k/3
cross out 3 and 3, divide by 3 and becomes k
k= 17
Answer: k= 17
Answer:
18 feet
Step-by-step explanation:
