Answer:
120
Step-by-step explanation:
As x goes from 1 to 2, y increases by 4 from 4 to 8
As x goes from 2 to 3, y increases by 4 from 8 to 12
We increase by 4 each time
The formula for an arithmetic sequence is
an = a1+d(n-1)
where a1 is the first term which is 4
d is the common difference or the number we add each time which is 4
n is the term we are looking for which is 30
a30 = 4 +4 (30-1)
a30 = 4+4(29)
= 4+116
= 120
Answer
My answer is in the photo above
Hi!
Our goal is to isolate x on one side by doing the same operation on both sides.
First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
-12x - 6 = -27 - 5x
Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
-12x = -21 - 5x
Add 5x to both sides
-12x + 5x = -21 - 5x + 5x
-7x = -21
Divide by -7 on both sides
-7x/-7 = -21/-7
x = 3
The answer is x = 3
Hope this helps! :)
