Answer:
A
Step-by-step explanation:
We are given two rational functions m(x) and n(x) that have the same vertical asymptotes both with a single x-intercept at x = 5.
The correct choice will be A.
Recall the transformations of functions.
B represents m(x) being shifted up 5 units. If the function is shifted up, the vertical asymptotes will be the same, but the x-intercept will change.
C represents m(x) being shifted 5 units to the right. This changes both the x-intercept and the vertical asymptotes.
Likewise, D represents m(x) being shifted 5 units to the left. Again, this will change both the x-intercept and the vertical asymptotes.
Therefore, the only choice left is A. It represents a vertical stretch by a factor of 5. This preserves the x-intercepts and the vertical asymptotes. Consider the function:
If n(x)=5m(x), we can see that:
So, the x-interceps and vertical asymptotes are preserved.
Answer:
45
Step-by-step explanation:
Do prime factorization and multiply the factors the two numbers have in common.
Answer:
tha answer to the question is B. 2
If you have $100 to start with and spend $20, what you have left is $80.
I got the answer by subtracting $100 - $20 = $80 So, you would have $80 left.
Hope I helped!
- Amber