Total of 7 packs. 12 pencils in a pack. 7x12 = 84
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 fraction of smoothies sold were either banana or strawberry is ![\frac{11}{12}.](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B12%7D.)
Step-by-step explanation:
Given:
Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry.
Now, to find the fraction of the smoothies sold were either banana or strawberry.
Fraction of smoothie were of banana = ![\frac{5}{6} .](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D%20.)
Fraction of smoothie were of strawberry = ![\frac{1}{12} .](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%20.)
Now, to get the fraction smoothies sold were either banana or strawberry by adding both the fractions of banana and strawberry:
![\frac{5}{6} +\frac{1}{12} \\\\=\frac{10+1}{12} \\\\=\frac{11}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D%20%2B%5Cfrac%7B1%7D%7B12%7D%20%5C%5C%5C%5C%3D%5Cfrac%7B10%2B1%7D%7B12%7D%20%5C%5C%5C%5C%3D%5Cfrac%7B11%7D%7B12%7D)
Therefore, the fraction of smoothies sold were either banana or strawberry is ![\frac{11}{12}.](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B12%7D.)
Answer is 3.75%
3.75% = 0.0375
0.0375 + $2,100 = <span>$78.75</span>