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:
Situation Best measure
1. The weights of wrestlers on the team varies by 74 lbs. range
2. The most popular M&M's color is green. mode
3. The mean price for an mp3 download is $1.96. mean
4. Half of the students in 3rd hour PE are 15 or older. median
Step-by-step explanation:
1. The weights of wrestlers on the team varies by 74 lbs. This is the range, the difference between the maximum and the minimum value.
2. The most popular M&M's color is green. This is the mode, the value more repeated.
3. The mean price for an mp3 download is $1.96. This is the mean.
4. Half of the students in 3rd hour PE are 15 or older. This is the median, the value in the half of the values
Answer:
A. 42 peaches and 56 strawberries
Step-by-step explanation:
3 · 14 = 42
4 · 14 = 56
Answer:
Step-by-step explanation:
Upon factoring all terms we are left with the product of
[(x-4)(x+6)(x-6)]/[5(x-6)(3x+5)(x-4)]
The (x-4)s and (x-6)s cancel out and we are left with
(x+6)/(5(3x+5)) which is also equal to
(x+6)/(15x+25)
Answer:
X=105
Step-by-step explanation:
Add angles
55+50 = 105
subtract from 180
180-105 = 75
it’s consecutive angles so subtract from 180
180-75 = 105
