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Darina [25.2K]
3 years ago
7

Drag each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval.

Mathematics
1 answer:
ad-work [718]3 years ago
4 0

Answer:

First, we need to know when the function is increasing, and when is decreasing.

When a function is increasing, it's because to higher <em>x-values </em>belong higher <em>y-values. </em>On the other hand, a function is decreasing when to higher <em>x-values </em>belong lower <em>y-values. </em>The effect in the graph will be a upwards direction of the function when is increasing, and a downwards direction when is decreasing.

So, according to the given graph, we see that between 0 and 4 is increasing, the higher x-values are, higher y-values are. Between 4 and 6 is decreasing, is downwards. Between 6 and 8 is increasing. Between 8 and 10 is decreasing. In finally, between 10 and 14 is neither decreasing or increasing, it remains horizontal.

All these interpretations we can expressed using math language, specifically inequalities:

  • 0 < x < 4: increasing.
  • 4 < x < 6: decreasing.
  • 6 < x < 8: increasing.
  • 8 < x < 10: decreasing.
  • 10 < x < 14: neither increasing or decreasing.

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Given the list of terms 1/3​, 1, 5/3, 7/3,.... Find the 15th and −16th term.
qwelly [4]

Answer:

15th term =29/3

16th term = 31/3

Step-by-step explanation:

Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d .

First we find the 15th term

n=15

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Solution

1/3+(15-1)2/3

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Lets find the 16th term

1/3+(16-1)2/3

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3 years ago
If y=8 when x =3, find y when x=45
Art [367]
Let's make things easier by simplifying things.

y = 8 and x = 3 is more likely to be understood as a ratio. So for the rest of the answer, their relationship would be represented as y:x

Thus: y:x = 8:3

The problem would be finding y when x = 45

Let us proceed on using the previous equation and substitute x with 45 which would look like this:

y:45 = 8:3

Ratios can also be expressed as fractions which would make things more understandable and easy to solve. So the new form of our equation would be like this:

y/45 = 8/3

Then we proceed with a cross multiplication where the equation becomes like as what is shown below:

3y = 45 * 8

From there, you can solve it by multiplying 45 and 8 then dividing the product with 3 to get y

3y = 360

y = 120

Another way of looking at the problem, especially problems like these, is to take the whole question or statement as an equation. it would probably look like this:

y = 8 when x = 3 : y = ? when x = 45

This would make you understand what approach you can use to solve the given problem.
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Answer:

D. enlargement

Step-by-step explanation:

enlargement means to increase something

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