Which of the following sets of data does not represent a function? set a (x, y) (6, 3) (8 ,4) (5, 7) (9, 2) set b (x, y) (0, 3) (1, 8) (2, 8) (3, -7) set c (x, y) (10, 7) (20, 11) (30, 9) (40, 7) set d (x, y) (3, 9) (2, 2) (8, -3) (2, 1) a: set a. b: set b. c: set c. d: set d

set D

Step-by-step explanation:

For a function we need to have for evety x value, only one value of y.

in set D, we have the points (2, 2) and (2, 1)

this two points have one value of x: x=2

but for the same x we have two values of y: 2 and 1

so this does not obey the requirements to be a functios wich is that for every x, we cannot have more than one value of y.

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simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 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.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

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

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .