Which relation is a function? a.{(-4,-6), (-3,-2), (1,-2), (1,0)} b.{( 8,1), (4,1), (0,1), (-15,1)} c. {(0,1), (0,2), (1,2), (1,3)} d. {( -2,-12), (-2,0), (-2,4), ( -2,11)]

In order to be a function, a relation must not have any repeated x-values.

So looking into the points of all of the relations listed, we see that in 'a', there are two points sharing the same value of x: (1,-2) and (1,0).

In 'b', we see that there are no repeated x-values.

In 'c', there are two points that share the same x-value: (0,1) and (0,2).

And in 'd', all of the points share the same x-value, being -2.

Therefore, since 'b' is the only choice with no repeated x-values, choice b is the answer.

i don't even know man. edge inuity be messing with us. i had to ask a question too.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.