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coldgirl [10]
3 years ago
8

Does this set of ordered pairs represent a function?

Mathematics
2 answers:
skelet666 [1.2K]3 years ago
6 0
Yes...because every x value corresponds to exactly one y value

a function will not have any repeating x values...it can have repeating y values, just not the x ones. So if all the x values are different, then it is a function
Lisa [10]3 years ago
4 0

Answer:

Option C is correct

Yes, the set of ordered pairs {(–5, –5), (–1, –2), (0, –2), (3, 7), (8, 9)}  represents the function.

because every x-value corresponds to exactly one y-value.

Step-by-step explanation:

A function states that it is a relation in which every domain value is paired with exactly one element of range.

Given the set of ordered pair:

{(–5, –5), (–1, –2), (0, –2), (3, 7), (8, 9)}

Domain is all the x-values, and range is all the y-values.

Domain: {-5, -1, 0, 3, 8}

Range:  {-5, -2, -2, 7, 9}

By definition:

each input value (i.e x values) is paired with exactly one element of y-value.

therefore,the set of ordered pairs {(–5, –5), (–1, –2), (0, –2), (3, 7), (8, 9)}  represents the function.

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1.) Which is the most precise name of this figure? 1. parallelogram
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Sylvia worked 3 hours and 45 minutes, while Paul worked 4 hours and 35 minutes. What’s the ratio of Sylvia’s work time to Paul’s
alexira [117]
Answer: 9 / 11

That is approximately 0.82


Explanation:

The ratio of two quantities x and y is x divided by y, i.e. the quotient x / y.

So, the ratio of Sylia's work time to Paul's work time is:

Sylvia's work time
---------------------------
Paul's work time

Given that you have the times in mixed units, hours and minutes, you must convert to one of the, either hours or minutes.

If you choose to work with hours, this is the work:

1) Silvia's time: 3 hours and 45 minutes = 3 hours + 45 / 60 hours = 3hours + 0.75 hours = 3.75 hours

2) Paul's work time: 4 hours and 35 minutes = 4 hours + 35/60 hours = 4 hours + 7/12 hours = (48+7)/12 = 55/12 hours ≈ 4.58 hours

3) Ratio:

Sylvia's work time             3.75 hours            3.75*12         45          9
------------------------- =      --------------------- = ---------------- =  -------- =   -----
Paul's work time               (55/12) hours            55              55         11

≈ 0.82

You can calculate the ratio using minutes and shall obtain the same result. Look:

1) 3 hours + 45 minutes = 3 * 60  minutes + 45 minutes = 180 minutes + 45 minutes = 225 minutes

2) 4 hours + 35 minutes = 4*60 minutes + 35 minutes = 240 minutes + 35 minutes = 275 minutes

3)

225 minutes          9
----------------- =     ------, which is the same result obtained above.
275 minutes         11
3 0
3 years ago
Read 2 more answers
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