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:
twice a number .....multiplication
decreased by 4.....subtraction
divided by 8.....division
addition is missing <====
although, twice a number could also be addition.....but I have never used it for addition
lets say ur number is 4.......twice the number 4 could be : 2 * 4 or 4 + 4
Answer:
See below
Step-by-step explanation:
<u>The sequence given</u>
<u>We see the pattern: triple the previous term plus 1</u>
- 2) 19 = 6*3 + 1
- 3) 58 = 19*3 + 1
- 4) 175 = 58*3 + 1
<u>Next two terms</u>
- 5) 175*3 + 1 = 526
- 6) 526*3 + 1 = 1579
<u>Following two terms</u>
- 7) 1579*3 + 1 = 4738
- 8) 4738*3 + 1 = 14215
h(x) = 3^x – 2 will be negative when x is less than 0
h(2) =7
g(2)=7
This is the point they are equal
g(x)> h(x) until2
g(x)>=h(x) -2<=x<=2
Choice A
Answer:
11+y > -33
Step-by-step explanation: