Answer:
Option E.
Step-by-step explanation:
Let the intended length of Rebecca's swimming is = x units
and we assume the length of the pool = l units
Now it is given in the question that " She covers one fifth of her intended distance "
That means distance covered = ![\frac{x}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B5%7D)
" After swimming six more lengths of the pool she had covered one quarter of her intended distance"
So ![\frac{x}{5}+6(l)=\frac{x}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B5%7D%2B6%28l%29%3D%5Cfrac%7Bx%7D%7B4%7D)
![6l=\frac{x}{4}-\frac{x}{5}](https://tex.z-dn.net/?f=6l%3D%5Cfrac%7Bx%7D%7B4%7D-%5Cfrac%7Bx%7D%7B5%7D)
![6l=\frac{x}{20}](https://tex.z-dn.net/?f=6l%3D%5Cfrac%7Bx%7D%7B20%7D)
x = 20×(6l)
x = 120l
Therefore, Rebecca has to complete 120 lengths of the pool.
Option E is the answer.
7x + 43, that’s what I got
D
the n th term (explicit ) formula for a geometric sequence is
= ![a_{1}](https://tex.z-dn.net/?f=a_%7B1%7D)
![(r)^{n-1}](https://tex.z-dn.net/?f=%28r%29%5E%7Bn-1%7D)
The given explicit formula therefore has
= 5 and r = - ![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
The recursive formula, allows us to find the next term in the sequence from the previous term
Here the next term in the sequence is obtained by multiplying the previous term by - ![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
=
(-
) with
= 5
Answer:
x= -1/3
Step-by-step explanation:
First, we can combine like terms on each side:
-4-18x=3x+3
Then, we move all of the variables onto one side and the constant onto the other:
-18x-3x=3+4
-21x=7
x=-7/21
x= -1/3
Hope this helps!