14. Determine whether x3 is O(g(x)) for each of these functions g(x). a) g(x) = x2 b) g(x) = x3 c) g(x) = x2 + x3 d) g(x) = x2 +
x4 e) g(x) = 3x f ) g(x) = x3/2
1 answer:
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0.37 meters of netting
<h3>Further explanation</h3><u>Given:</u>
Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.
<u>Question:</u>
How much netting did she use per goal?
<u>The Process:</u>
We will solve the problem of conversion or in other words the ratio or proportion.
Option A: the conversion
Mrs. Nguyen used 1.48 meters of netting to make 4 identical mini hockey goals.
Then for every 1 goal, she needs 0.37 meters of netting.
Because
Option B: the ratio (or proportion)
In the ratio, we process as follows:
Both are divided by 4.
Thus, she uses 0.37 meters of netting per goal.
Alternative problem
How much netting did she use for 8 goals?
meters of netting.
We cross out eight and four because they can be divided.
She uses 2.96 meters of netting to make 8 identical mini hockey goals.
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Keywords: Mrs. Nguyen, 1.48 meters of netting, to make 4 identical mini hockey goals, how much netting, she uses per goal, conversion, the ratio, proportion
By definition of absolute value, if , then
, so
On the other hand, if , then
, and