Between 02 30 and 05 30,the same day,the volume of water in a reservoir increased from 6000 L to 18 000 L.What was the average r
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Answer:
Table C
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
Find the value of the constant of proportionality in each table
Table A
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This table has different values of k
therefore
the table A does not represent a proportional relationship
Table B
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This table has different values of k
therefore
the table B does not represent a proportional relationship
Table C
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This table has the same value of k
therefore
the table C represent a proportional relationship
Table D
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This table has different values of k
therefore
the table D does not represent a proportional relationship
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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.
Answer:
.252
Step-by-step explanation: