Considering the least common factor of 15 and 18, it is found that they will depart from the central station at the same time at 11 AM.
<h3>How to find the time it takes for periodic events to repeat at the same time?</h3>
To find the time that passes between the events happening at the same time, we need to find the least common multiple of the periods.
In this problem, the periods are of 15 and 18, hence their lcm is found as follows:
15 - 18|2
15 - 9|3
5 - 3|3
5 - 1|5
1 - 1
Hence:
lcm(15,18) = 2 x 3 x 3 x 5 = 90 minutes.
They will depart from the central station at the same time in 90 minutes from 9:30 AM, hence at 11 AM.
More can be learned about the least common factor at brainly.com/question/16314496
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Answer:
The answer is "
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Step-by-step explanation:
Please find the attached file of the graph.
Given:
Let

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Answer:
(c) output increases, then decreases ...
Step-by-step explanation:
The given function is quadratic, so it has a turning point. Neither linear nor exponential functions have a turning point, so are always increasing or decreasing.*
The second attachment shows a plot of the function with input on the x-axis and output (area of the rectangle) on the y-axis.
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* A linear function that is a horizontal line will be neither increasing nor decreasing.
32x^2 3*sqrt2x - 8x^3 (it’s the second option in the photo)