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lina2011 [118]
3 years ago
13

(don't understand but I think its easy)Which of the following relations is a function?

Mathematics
2 answers:
Gala2k [10]3 years ago
7 0

Answer:

  B. {(1, 7), (2, 8), (4, 5), (0, 0), (3, 5)}

Step-by-step explanation:

You are right, it is easy. Any relation with a repeated first value is not a function.

A has (-3, -1) and (-3, -3), so the value -3 is a repeated first value.

C has (2, 5) and (2, 3), so the value 2 is a repeated first value.

D has (5, 8), (5, 9), and (5, -3), so the value 5 is a repeated first value.

None of A, C, or D is a relation that is a function. The correct choice is B, which has first values 0, 1, 2, 3, 4 -- none of which is repeated.

_____

If you plot points with repeated first values, you find they lie on the same vertical line. If a vertical line passes through 2 or more points in the relation, that relation is <em>not a function</em>. We say, "it doesn't pass the vertical line test."

A relation must pass the vertical line test in order to be a function. This is true of graphs of any kind, not just graphs of discrete points.

Dmitriy789 [7]3 years ago
5 0

<u>Answer:</u>

The correct answer option is B. {(1, 7), (2, 8), (4, 5), (0, 0), (3, 5)}.

<u>Step-by-step explanation:</u>

We are to determine whether which of the given relations in the possible answer options is a function.

We know that the x values of a function cannot be repeated. It means that for each output, there must be exactly one input.

Therefore, we will look for the relation where no x value is repeated.

Function ---> {(1, 7), (2, 8), (4, 5), (0, 0), (3, 5)}

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Delvig [45]

Answer:The equation that models the solution will be

33 = 22k / 6

Step-by-step explanation:

The two types of variation involved in this problem are direct variation and inverse variation.

In direct variation, when one item changes in the positive or negative direction, the other item also changes in the positive or negative direction.

In inverse variation, when one item changes in the positive or negative direction, the other item also changes in the negative or positive direction.

From the information given,

c varies directly with b

If we introduce a direct proportionality constant, k, then,

c = kb

c also varies inversely with a

If we introduce an inverse proportionality constant, k, then,

c = k/b

Therefore, c = kb / a

When a=6 , b=22 and c=33.

The equation that models the solution will be

33 = 22k / 6

8 0
3 years ago
The base of a triangle is 7 cm greater than the height. the area is 60 cm squared. find the height and base of the triangle.
tino4ka555 [31]
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8 0
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Kryger [21]

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Step-by-step explanation:

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Paul spent 3/8 of her allowance on clothes in 16 on Entertainement what fraction of her allowance did she spend on other items
nasty-shy [4]

Answer:

11 / 24

Step-by-step explanation:

i'm assuming you mean 1/6


We have to calculate the fraction of Paula`s allowance that she spent on other items if she already had spent 3/8 on clothes and 1/6 on entertainment. First we have to add: 3 / 8 + 1 / 6 = ( LCD is 24 ) = 9 / 24 + 4 / 24 = 13 / 24. Then : 1 - 13 / 24 = 24 / 24 - 13 / 24 = 11 / 24. Answer: She has spent 11 / 24 of her allowance on other items.



6 0
3 years ago
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Sonbull [250]
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