Which of the following relations represent a function? {(-1,-,,7)} {(-3,,-,7)} {(-1,,,5)} {(-1,,,7)}

{(-1,4), (2,7), (3,7)} is a function

Step-by-step explanation:

For something to be a function, any given x must have one and only one y

{(-1,-3), (3,2), (3,7)}

-1(x) only has -3(y)

3(x) has 2(y) and 7(y), making it not a function

{(-3,7), (3,-7), (3,7)}

-3(x) only has 7(y)

3(x) has -7(y) and -7(y, making it not a function

{(-1,4), (-1,7), (3,5)}

3(x) only has 5(y)

-1(x) has 4(y) and 7(y), making it not a function

{(-1,4), (2,7), (3,7)}

-1(x) only has 4(y)

2(x) only has 7(y)

3(x) only has 7(y)

This is a function

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3