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: The equilibrium point represents the raising or lowering the price in response to changes in the supply or demand.
If the price of a good is above equilibrium, this means that the quantity of the good supplied exceeds the quantity of the good demanded.
If the quantity is below the equilibrium point, it will create a shortage. because the quantity supplied is less than quantity demanded.
Hope this helps!
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
because if you look at the line below it it shows 180 degrees because it is a straight line if that makes sense. if not just trust me.
Answer: I am pretty sure it is y=-1/4x-8. Hope this helps!
Step-by-step explanation:subtract the 2x from both sides which gives you 8y=-2x-64. Then you want to divide both sides by 8 to get y=-1/4x-8
Answer:
5/6
Step-by-step explanation:
The sides numbered 1,2,5 are green and 2,4,6 are even
We cannot count the 2 twice, so there are 5 unique possibilities of getting either a green or an even
There are 6 total possibilities when rolling the die 1,2,3,4,5,6
P (green or even) = green or even/ total
= 5/6