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, ∞).
The answer is <span>A. 2 eggs / 3 cups of flour = 12 eggs / 18 cups of flour because 2 x 18 = 3 x 12 = 36.</span>
Answer: 20 ;)
Step-by-step explanation:
Basically, we need to plug in the given values for the variables
and
into the given expression
. First off, we can plug in all the given values into the expression, giving us
. Now, perform the operations on the inside of the parentheses. Doing this, we get
. Now, we use the distributive property to simplify. This gives us
. Finally, when we add the two numbers, we get
. Hope this helped!
Substituting x = 3 into the first expression:
-4(3) - 8 = -12 - 8 = -20
Substituting x = 3 into the second expression:
-2(3 + 1) - 2(3 + 3) = -2(4) - 2(6) = -8 - 12 = -20
