The base of a rectangular prism has an area of 12 square centimeters. The height of the rectangular prism is 3 centimeters. What
2 answers:
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The point (2,0) represents a relative minimum and an x-intercept.
<h3>How to determine the property?</h3>The missing graphed function is added as an attachment
The point (2,0) means that:
x = 2 and y = 0
On the attached graph, we can see that the graph touches the x-axis at (2,0); this represents the x-intercept
Also, the graph has a minimum at (2,0); this represents the relative minimum
Hence, the point (2,0) represents a relative minimum and an x-intercept.
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The generic equation of the line is:
Where,
m: slope of the line
(T0, H0): ordered pair belonging to the line.
The slope of the line is:
Substituting values we have:
Rewriting:
Then, choosing an ordered pair we have:
Substituting values we have:
Rewriting the equation:
Then, for 8 hours we have:
Answer:
a linear equation to model the relationship between height H of the candle, and T time is:
the candle will be 12 inches after burning 8 hours