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3 years ago

Use the domain and range of each of the following relations to determine which is a function.

Mathematics

1 answer:

Kamila [148]3 years ago

4 0

Answer:

b. is the only set of points that is a function.

Step-by-step explanation:

A relation is a function is there is not more than one y assigned to a x.

A relation relates a variable to another variable. Option a does not not this.

A set of points is a relation. A trick to figuring out if is a function is to see if all x's are different.

Let's look at b. All the x's are different there so it is a function.

Now c, we see that there are two different points with the same x so this is not a function.

Now d, we see that there are two different points with the same x so this is not a function.

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4 years ago

A school has a 20:2 student - teacher ratio graph a line representing this scenario part b what is the unit rate

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Step-by-step explanation:

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Answer:

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3 years ago

What's green and fluffy and comes from outer space? I have the answer I just need to know how to graph it

satela [25.4K]

The correct answer is:

To graph each of these equations, we will find the x- and y-intercept of each. To find the x-intercept, we replace y with 0 and solve. To find the y-intercept, replace x with 0 and solve.

For 2x-4y=8:

x-intercept:

2x-4(0)=8; 2x-0=8; 2x=8; x=4

y-intercept:

2(0)-4y=8; 0-4y=8; -4y=8; y=-2

Plot these intercepts and draw a line between them.

For 2x+8y=-64:

x-intercept:

2x+8(0)=-64; 2x+0=-64; 2x=-64; x=-32

y-intercept:

2(0)+8y=-64; 0+8y=-64; 8y=-64; y=-8

Plot the intercepts and draw a line between them.

For -2x+4y=8:

x-intercept:

-2x+4(0)=8; -2x+0=8; -2x=8; x=-4

y-intercept:

-2(0)+4y=8; 0+4y=8; 4y=8; y=2

Plot the intercepts and draw a line between them.

For 3x+5y=-15:

x-intercept:

3x+5(0)=-15; 3x+0=-15; 3x=-15; x=-5

y-intercept:

3(0)+5y=-15; 0+5y=-15; 5y=-15; y=-3

Plot the intercepts and draw a line between them.

For 12x-3y=3:

x-intercept:

12x-3(0)=3; 12x-0=3; 12x=3; x=3/12=0.25

y-intercept:

12(0)-3y=3; 0-3y=3; -3y=3; y=-1

Plot the intercepts and draw a line between them.

For y=-8, draw a straight horizontal line at -8.

For x+3y=18:

x-intercept:

x+3(0)=18; x+0=18; x=18

0+3y=18; 3y=18; y=6

Plot the intercepts and draw a line between them.

For -4x+6y=-54:

x-intercept:

-4x+6(0)=-54; -4x+0=-54; -4x=-54; x=13.5

y-intercept:

-4(0)+6y=-54; 0+6y=-54; 6y=-54; y=-9

Plot the intercepts and draw a line between them.

For 4x-y=-8:

x-intercept:

4x-0=-8; 4x=-8; x=-2

y-intercept:

4(0)-y=-8; 0-y=-8; -y=-8; y=8

Plot the intercepts and draw a line between them.

For 2x-10y=20:

x-intercept:

2x-10(0)=20; 2x-0=20; 2x=20; x=10

y-intercept:

2(0)-10y=20; 0-10y=20; -10y=20; y=-2

Plot the intercepts and draw a line between them.

For 6x+9y=9:

x-intercept:

6x+9(0)=9; 6x+0=9; 6x=9; x=1.5

y-intercept:

6(0)+9y=9; 0+9y=9; 9y=9; y=1

Plot the intercepts and draw a line betwen them.

For 5x-2y=12:

x-intercept:

5x-2(0)=12; 5x-0=12; 5x=12; x=2.4

y-intercept:

5(0)-2y=12; 0-2y=12; -2y=12; y=-6

Plot the intercepts and draw a line between them.

For 8x+4y=40:

x-intercept:

8x+4(0)=40; 8x+0=40; 8x=40; x=5

y-intercept:

8(0)+4y=40; 0+4y=40; 4y=40; y=10

Plot the intercepts and draw a line between them.

For x+3y=27:

x-intercept:

x+3(0)=27; x+0=27; x=27

y-intercept:

0+3y=27; 3y=27; y=9

Plot the intercepts and draw a line between them.

6 0

3 years ago

Read 2 more answers