Answer:
5.59 times per second.
Step-by-step explanation:
Direct variation is in the form:
Where <em>k</em> is the constant of variation.
Inverse variation is in the form:
In the given problem, the frequency of a vibrating guitar string varies inversely as its length. In other words, using <em>f</em> for frequency and <em>l</em> for length:
We can solve for the constant of variation. We know that the frequency <em>f</em> is 4.3 when the length is 0.65 meters long. Thus:
Solve for <em>k: </em>
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So, our equation becomes:
Then when the length is 0.5 meters, the frequency will be:
Graph D, because no x-value repeats and it passes the vertical line test.
If the question is, what is it? It is called this figure a pencil of lines.
А pencil of lines can consist of any number of straight, the main thing that they all had one common point. Here you can find a lot of vertical angles and rays.
9514 1404 393
Answer:
B.
- as x increases, f(x) decreases;
- as x decreases,f(x) decreases
Step-by-step explanation:
The function is of even degree with a negative leading coefficient. f(x) will tend toward negative infinity as x gets larger or smaller. That is ...
- as x increases, f(x) decreases;
- as x decreases,f(x) decreases
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<em>Even degree</em> means the end behaviors are the same for both large and small x. <em>Negative leading coefficient</em> means the function value decreases for larger x.
