Answer:

Given series is convergence by using Leibnitz's rule
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given series is an alternating series
∑
Let 
By using Leibnitz's rule


Uₙ-Uₙ₋₁ <0
<u><em>Step(ii):-</em></u>


= 

=0

∴ Given series is converges
These 3 objects are used to make all of the other objects that we will use in geometry
ANSWER

EXPLANATION
We were given that

varies directly as

We can write this mathematically as,

This implies that,

where k is the constant of variation.

This implies that,


The equation becomes

When

3(x + 7) = 9(x - 1)
3(x) + 3(7) = 9(x) - 9(1)
3x + 21 = 9x - 9
<u>- 3x - 3x </u>
21 = 3x - 9
<u>+ 9 + 9</u>
<u>30</u> = <u>3x</u>
3 3
10 = x
Basically, ur just solving for y
6x + 4y = 8...subtract 6x from both sides
4y = -6x + 8....now divide both sides by 4
y = (-6/4)x + 8/4...reduce
y = -3/2x + 2 <=== slope intercept form