Answer:
Domain = {All real values of x EXCEPT x = -5 and x = 7}
Step-by-step explanation:
This is a rational function given as y=\frac{6+9x}{6-|x-1|}y=
6−∣x−1∣
6+9x
The domain is the set of all real value of x for which the function is defined.
For rational functions, we need to find which value of x makes the denominator equal to 0. We need to exclude those values from the domain.
Now
6 - |x-1| = 0
|x-1| = 6
x- 1 = 6
or
-(x-1) = 6
x = 6+1 = 7
and
-x+1=6
x = 1-6 = -5
So, the x values of -5 and 7 makes this function undefined. So the domain is the set of all real numbers except x = -5 and x = 7
Answer:
9%
Step-by-step explanation:
percent increase is calculated as
× 100%
increase = $3.87 - $3.54 = $0.33 , then
% increase = 
× 100% ≈ 9% ( to the nearest whole percent )
Answer:
2^4 is 16 and 3^5 is 243
Step-by-step explanation:
Answer: 12 units
Step-by-step explanation:
6
2+x=8
Subtract 2 on both sides
x=6
