Answer:
20,114 mi/h
Step-by-step explanation:
It can be convenient to remember that 1 mi/h = 22/15 ft/s. To convert the given number to the appropriate units, we can divide by this conversion factor:
(29500 ft/s)/((22/15 ft/s)/(1 mi/h)) = (29500·15/22) mi/h = 20113 7/11 mi/h
≈ 20,114 mi/h
The denominator of the second fraction is the difference of squares, so can be factored using the formula for that.
(n^2 -4) = (n -2)(n +2)
Now, you will note that the second fraction has a numerator that is equal to one of the factors in the denominator. In other words, the whole fraction can be simplified to ...
(n +2)/((n +2)(n -2)) = 1/(n -2) . . . . with the restriction n≠-2
This reduced form of the fraction has the same denominator as the first fraction, so you can say that the lowest common denominator is that: (n -2).
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If there is some reason you don't want to reduce the second fraction, the lowest common denominator will be (n -2)(n +2).
C it opens up and is at maximum value i believe