Yes, that's the correct limit.
, but since
, we are considering
, for which
. Then
and both and
vanish as
, making the overall limit 0.
A truck is being filled with cube-shaped packages that have side lengths of \frac{1}{4}
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The linear function of the table of values is y = -1.5x + 25
<h3>How to plot the ordered pairs?</h3>The table of values is given as:
<u>Sequence One Sequence Two Ordered Pair </u>
6 16 (6, 16)
8 13 (8, 13)
10 10 (10, 10)
12 7 (12, 7)
14 4 (14, 4)
From the above table of values, we can see that:
- As x constantly increases by 2 i.e. +1
- y constantly decreases by 3 i.e. -3
This means that the table represents a linear function, and the slope of the function is
m = -3/+2
This gives
m = -1.5
A linear function is represented as:
y = mx + c
This gives
y = -1.5x + c
Using the table of values, we have
16 = -1.5 * 6 + c
Evaluate the product
16 = -9 + c
Add 9 to both sides
c = 25
Substitute c = 25 in y = -1.5x + c
y = -1.5x + 25
Hence, the linear function of the table of values is y = -1.5x + 25
See attachment for the graph of the table
Read more about linear functions at:
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