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:
Step-by-step explanation:
BF is the angle bisector of ∠B.
2x4+3x5(5x6)+2x6 =
2x4+3x5x30+2x6=
8+15x30+12=
8+450+12=
470
(g-f)(x) is x² - 3x - 6
<u>Step-by-step explanation:</u>
Step 1:
Given g(x) = x² - 1 - 2x, f(x) = x + 5. Find (g-f)(x)
(g-f)(x) = x² - 2x - 1 - (x + 5) = x² - 2x - 1 - x - 5 = x² - 3x - 6
Answer:
Step-by-step excircle
A circle is a plane figure bounded by one curved line, and such that all straight lines drawn from a certain point within it to the bounding line, are equal. The bounding line is called its circumference and the point, its centre.planation:
