Answer:
(-5, 0) ∪ (5, ∞)
Step-by-step explanation:
I find a graph convenient for this purpose. (See below)
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When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...
f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)
This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).
Answer:
one billion eight hundred ninety million three hundred eighty thousand eight hundred
Step-by-step explanation:
43.12*43.84
Answer:
a=
b=
Step-by-step explanation:
Here 
is like the 
in the general formula.
So we can write as:
We can also write 
as:
Therefore:
a³=
b²=
Answer:
8.25 ft.
Step-by-step explanation:
Subtract 7.5 from 24 to get the remaining amount of wall that has no picture frame covering it. 24 - 7.5 = 16.5. You then would divide 16.5 by 2 as there are two sides on either side of the painting that need to be covered. 16.5 / 2 = 8.25. To check yourself: 8.25 + 8.25 + 7.5 = 24.
Four laps every two minutes. look down from the slope. thats tje tome or minutes and if you look to the left thats how many laps.
