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3 years ago

Which set of ordered pairs is a function?

Mathematics

1 answer:

Mumz [18]3 years ago

6 0

Answer:

OPTION C

Step-by-step explanation:

An element in the domain should be mapped to exactly one element on the co-domain. Also, every element in the domain should be mapped to an element in the co-domain.

These two conditions are satisfied to call a relation, a function.

Two different elements in the domain can be mapped to the same element in the co-domain. But the same element in the domain cannot be mapped to two different elements in the co-domain.

A) (1,2), (3,4), (5,6), (3,-4)

Here, the element '3' is mapped to 4 and -4. So, this is not a function.

B) (8,4), (4,3), (2,2), (8,1)

'8' is mapped to 4 and 1. So, it is not a function.

C) (2,5), (3,10), (4,15), (5,20)

All the elements in the domain are mapped to an element in the co-domain. Also, every element in the domain has exactly one image in the co-domain. So, this relation is a function.

D) (2,4), (2,3), (2,1), (2,0)

The element '2' has more than one image. Clearly, it contradicts the definition of a function.

So, only OPTION C is the answer.

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4 years ago

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3 years ago

Five eighths of the members of a soccer team ride the bus. If there are 24 members on the soccer team, how many members ride th

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Answer:

Step-by-step explanation:

"of" means times (×)

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2 years ago

2 factors of 36 add up to 15 What are they?

Murrr4er [49]

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5 0

3 years ago

Read 2 more answers

I put D since I believe HL applies here but am not sure. Could anybody please help?

Fed [463]

<h3>Answer: B) II and III</h3>

====================================================

Explanation:

Check out the diagram below.

On the left side shows ASA can be used to prove the triangles congruent. Note the color coding to see how the angles match up. Also note that the segment TR is between angles STR and SRT. The order is important because ASA is different from AAS.

Angle STR = Angle VTU because they are vertical angles

Angle SRT = Angle VUT since they are alternate interior angles. Note how SR is parallel to UV. If the lines weren't parallel, then the alternate interior angles would not be congruent.

We can use AAS because if we know two angles of a triangle, we can find the third angle. Despite the fact that something like RST looks like a right angle, we don't have enough info to say it is or not. The square angle marker is missing. So it could be 90 degrees, or it might be something like 89 degrees instead. We don't have enough info. So we cannot use HL.

AAA or AA is not a congruence theorem. It's a similarity theorem. So we cross this off the list.

8 0

3 years ago