We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75:
.
.
does not exist as
.
<h3>How to determinate the limit in a piecewise function</h3>
In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.
According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:
.
.
does not exist as
.
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Answer:
2
Step-by-step explanation:
The answer would be 2 because it reduces to the same system of equations as the original, which I knew since the first equation was the same and if you divide everything in the second by 2, you'll get 3x-y=8. :)
Answer:

Step-by-step explanation:
We have:



Answer:
The vehicle covers 126 miles on 7 gallons of fuel.
Step-by-step explanation:
Given:
The distance traveled is directly proportional to the amount of fuel.
For
gallons of fuel distance traveled
miles can be given as:
∝ 

where
is constant of proportionality.
The vehicle covers
miles on
gallons.
So

Dividing both sides by 5.


∴ 
When
gallons

miles
∴ The vehicle covers 126 miles on 7 gallons of fuel.
One meter is composed of approximately 3.28 feet. To convert a certain measure in feet to meter, divide the number by 3.28. From the given above, using dimensional analysis and the conversion factor,
(750 ft) x (1 m/ 3.28 ft) = 228.66 m
Thus, 750 ft is approximately 228.66 in meters.