9514 1404 393
Answer:
h ≤ 6 2/3
Step-by-step explanation:
The inequality is presumed to be ...
15h +40 ≤ 140
15h ≤ 100
h ≤ 6 2/3
__
The graph shows h ≥ 0, because the inequality is only reasonable for h ≥ 0.
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The volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
<h3>How to determine the volume?</h3>The complete question is added as an attachment
From the attached image, we have:
Length = 12 - 2x
Width = 7 - 2x
Height = x
The volume is calculated as:
Volume = Length * Width * Height
Substitute the known values in the above equation
Volume = (12 - 2x) * (7 - 2x) * x
This gives
Volume = x(12 - 2x)(7 - 2x)
Hence, the volume of the box as a polynomial in the variable x is x(12 - 2x)(7 - 2x)
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