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3 years ago

Which ordered pairs cause this relation NOT to be a function? Why?

Mathematics

1 answer:

dangina [55]3 years ago

3 0

Answer:

(3,1) and (3,2)

Step-by-step explanation:

We are given that a relation

{(0,0.5),(0.5,1),(3,1),(1,6),(3,2)}

We have to find that ordered pair which causes this relation not to be a function.

We know that

Function: It is a mapping between two non- empty set A and B.

Every element of set A has unique image in set B.

One element of set A can not have two or more images in set B.

Two or more elements of set A have same images in set B.

In given relation images of 3 are 1 and 2 which is not possible if a relation is function because one element can not have two or more images.

The ordered pair (3,2) and (3,1) cause this relation not to be a function because image of 3 are 1 and 2 which is not possible .

Answer: (3,1) and (3,2)

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There are 1,295 students attending a small university.There are 714 women enrolled. What percent of the students are women. Equa

Semenov [28]

If 1295 × p = 714, then you can rearrange the equation to find the percentage.

You have to get p on its own, so you divide 1295 on both sides of the '='.

1295 × p = 714

p = 714 ÷ 1295

p = 0.55135135135...

p × 100 = actual percentage

actual percentage = 55.14%

8 0

3 years ago

a taxi cost $1.65 for the 1st Mile and $0.85 for each additional mile. Which equation could be solved to find the number x of ad

Gekata [30.6K]

X = additional mile

0.85x + 1.65 = 20

to solve it:
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7 0

4 years ago

Can any one help me with this problem

AnnyKZ [126]

A - 2
B - 4
C - 3
D - 1

3 0

3 years ago

Which of the following is an equation of the line through (2,3) and (-1,-12)

ahrayia [7]

Answer:

y = 5x - 7

Step-by-step explanation:

Using the equation of a line with two points

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

Giving two points

( -4 , 10)(16 , -2)

x_1 = -4

y_1 = 10

x_2 = 16

y_2 = -2

Using the above formula

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

-12 - 3 / -1 - 2 = y - 3 / x - 2

-15/-3 = y - 3 /x - 2

Cross multiply

-15(x - 2) = -3(y - 3)

-15x + 30 = -3y + 9

-15x + 30 + 3y - 9 = 0

-15x +30 - 9 + 3y = 0

-15x + 21 + 3y = 0

3y = 15x - 21 ( following y = mx + C

Dividing through by 3 to find y

3y/3 = 15x -21 / 3

y = 15x - 21 / 3

We can still separate

y = 15x / 3 - 21/3

y = 5x - 7

Therefore, the equation of the line is

y = 5x - 7

6 0

3 years ago

You and your friend mix water and cirtic acid. You add 3 cups of citrtic acid for every 16 cups of water Your friend adds 2 cups

Vlad [161]

Answer:

A's mixture is more acidic.

Step-by-step explanation:

Given:

Two friends mix water and citric acid.

One (Let A) add 3 cups of citric acid for every 16 cups of water and another (Let B)adds 2 cups of citric acid for every 12 cups of water.

Now, we have to find that whose mixture is more acidic means:-

Solution:

A add 3 cups of citric acid for every 16 cups of water, the ratio = $\frac{3}{16}$

B adds 2 cups of citric acid for every 12 cups of water = $\frac{2}{12}$

Now, to find that who mix more citric acid in the mixture, firstly we will equalize the denominator of both fraction by taking LCM so that can be compare easily.

LCM of 16 and 12:- 48

16 - 16, 32, 48, 64, 80, 96....

12 - 12, 24, 36, 48, 60, 72.......

For friend A - $\frac{3\times3}{16\times3} =\frac{9}{48}$

For friend B - $\frac{2\times4}{12\times4} =\frac{8}{48}$

We found that in terms of 48 cups of water, friend A mixes 9 cups of acid while friend B mixes 8 cups of acid, means A is adding more acid than B and hence friend A's mixture is more acidic.

4 0

3 years ago