√70 = 8.37
It would be between 8 and 9.
F(x)=2x+8
G(x)=x-4
Plug g(x) into f(x)
F(g(x))=2(x-4)+8
Distribute
F(g(x))=2x-8+8
Simplify
F(g(x))=2x
Let the measure of the unknown angle is x °
Supplementary angles sum up to 180°. So the supplementary angle of x° will be (180 - x)°
According to the given data, measure of x is 40° less than 3 times the measure of its supplementary angle (180 - x). So we can set up the equation for this scenario as:

So the degree measure of the required angle is 125°.
Answer:
Recursive formula is: 
Explicit formula is: 
Step-by-step explanation:
We need to find recursive formula and explicit formula for arithmetic sequence -1,6,13,20,27
In the given sequence First term a₁= -1
Common difference d = 7
Finding Recursive Formula
The recursive formula is of type:
and 
Since the First term a₁ is -1 and common difference d is 7 so, the recursive formula for given arithmetic sequence will be:

Finding Explicit Formula
The explicit formula is of type: 
We have
First term a₁= -1
Common difference d = 7
So, explicit formula will be:

So, explicit formula is: 
Answer:
$960
Step-by-step explanation:
Let the original amount be = x
Percentage increase is equal to = 12.5%
final amount = original amount + increase
final amount = x + 0.125x
final amount = 1.125x
final amount = 1080 = 1.125x
and then solve for x

so in the end x is equal to $960
Solve the equation: 1080 = 1.25x