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:
PQ = 4
Step-by-step explanation:
As ; PQ=QR
PR = 8
PR= PQ+QR —> 8 = 2x —> x= 8/2 = 4
SO ; PQ = 4 , QR = 4
I hope I helped you^_^
The answer for w is w=3.5 <span />
Answer:
Step-by-step explanation:
3 sqrt2
Answer: The dimesions will be decreased by 13.05%.
Step-by-step explanation:
Hi, we have to calculate the original area.
Area of a rectangle = Length x width
Replacing with the values given:
A = 40x50 = 2000 ft2
Since is reduced to 1739. if we multiply the original area by a the percentage decrease, and subtract that value to the original area, we obtain 1739 ft2.
2000 - (2000x) = 1739
Solving for x
-2000x = 1739 -2000
-2000x = -261
x =-261/-2000
x = 0.1305
Multiply by 1000 to obtain the percentage:
0.1305 x 100 = 13.05%
