B. Should be the correct answer
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:
Option C . 5.3 in
Step-by-step explanation:
<u><em>The complete question is</em></u>
An art project has an area of 63.6 square inches. What is the width, in inches, of the project?
A rectangle is shown divided into 4 smaller rectangles that are related to the size of the edges. The top edge is labeled 10 inches and 2 inches, above the top two rectangles. The top two rectangles are much larger than the bottom two rectangles
Let
x ----> the length of the art project in inches
y ----> the width of the art project in inches
we know that
The area of the rectangular art project is equal to

we have

so
----> equation A

substitute the value of x in the equation A
solve for y

Answer:
The answer is D
Step-by-step explanation:
you have to multiply 5 and 12 by the power of 2. 5 x 5=25 12 x 12=144 add them and it equals 169 then you have too divide it by the thing of 2 and it equals x=13
The formula for the number of bacteria at time t is 1000 x (2^t).
The number of bacteria after one hour is 2828
The number of minutes for there to be 50,000 bacteria is 324 minutes.
<h3>What is the number of bacteria after 1 hour?
</h3>
The exponential function that can be used to determine the number of bacteria with the passage of time is:
initial population x (rate of increase)^t
1000 x (2^t).
Population after 1 hour : 1000 x 2^(60/40) = 2828
Time when there would be 50,000 bacteria : In(FV / PV) / r
Where:
- FV = future bacteria population = 50,000
- PV = present bacteria population = 1000
- r = rate of increase = 100%
In (50,000 / 1000)
In 50 / 1 = 3.91 hours x 60 = 324 minutes
To learn more about exponential functions, please check: brainly.com/question/26331578
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