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Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>
A bit of further explanation:
The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.
Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h
For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.
Answer: Yes, it is a real number. 3.4 is a rational number and rational numbers are real numbers. So 3.4 is a real number.
Answer:
x = 30
Step-by-step explanation:

Answer:
So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.
Step-by-step explanation:
We know that 27 of the 193 males in the sample smoke while 16 of the 169 females in the sample smoke.
We have the following proportion:

So we get that 13.9% of men smoke.
We have the following proportion:

So we get that 9.5% of women smoke.
We get: 13.9%-9.5%=4.4%.
So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.
<span>The solution to the problem is as follows:
W=Fd=mad=425*1.8*66
=50490 J
Therefore, it takes </span><span>50490 J of work the crane will do to accelerate the beam upward at 1.8 m/s^2.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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