Which expression represents the same solution as (4) (negative 3 and StartFraction 1 over 8 EndFraction? (4) (negative 3) + (4)
2 answers:
Answer:
Option B.
Step-by-step explanation:
The given expression is
We need an expression Which represents the same solution as the given expression.
It can be written as
Since is equivalent to given equation, therefore this equation represents the same solution as the given expression.
Hence, option B is correct.
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Answer:
15 muffins are cinnamon.
Step-by-step explanation:
Given that:
Number of muffins baked = 50 muffins
Chocolate chip muffins = 1/5 of 50 =
Chocolate chip muffins = 10 muffins
Blueberry muffins = 1/2 of 50 =
Blueberry muffins = 25
Cinnamon muffins = Muffins baked - chocolate chip muffins - blueberry muffins
Cinnamon muffins = 50 - 10 - 25
Cinnamon muffins = 50 - 35 = 15
Hence,
15 muffins are cinnamon.
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Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
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Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.
