Which ordered pairs cause this relation not to be a function? why?
{(0, 0.5), (0.5, 1), (3, 1), (1, 6), (3, 2)}
a) (0.5, 1) and (0, 0.5); a function cannot contain decimals.
b) (0.5, 1), (3, 1); the same y-value has different x-values.
c) (3, 1) and (3, 2); the same x-value has different y-values.
d) (3, 1) and (3, 2); the x-value in a function cannot be greater than the y-value.

Option C is correct that is (3,1) and (3,2) in this same value of x has different value of y.

Step-by-step explanation:

The relation is not a function when  value of y is different for different x.

That means y should relate to a unique element x

Hence, Option C is correct that is (3,1) and (3,2) in this same value of x has different value of y.

Option A is incorrect because function can contain any value so no point of saying does not contain decimals.

Option B is incorrect because different  value of x should be there.

Option D is incorrect because any value can be greater either in x or y.

56

step-by-step explanation:

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 .