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Svetach [21]
4 years ago
9

20

Mathematics
1 answer:
grigory [225]4 years ago
3 0

Answer:

m=12f

Step-by-step explanation:

The measurement in inches =m

The measurement  in feet = f

We are told that: m varies directly with f

Written mathematically:

m\propto f

Introducing the constant of variation, we have:

m=k f

Given that: k=12

The equation relating these two quantities is:

m=12f

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The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more t
Aleksandr [31]
Width = x
Length = x+18

Assuming the table is rectangular:
Area = x(x + 18)

Therefore:
x(x + 18) <span>≤ 175
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Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
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|x + 9| </span><span>≤ +-16
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</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>

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3 years ago
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Identify the range of the function shown in the graph.
eduard
B. The highest point y is equal to is 5 and the lowest is -5
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