Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?

Hey there! I'm happy to help!

The domain is all of the possible x-values and the range is all of the possible y-values.

Let's quickly rearrange our equation so we can plug in x to see what y is.

12x+6y=24

We subtract 12x from both sides.

6y=-12x+24

We divide both sides by six.

y= -2x+4

Since there are three domains we can plug into this equation that can give us one output, we will have three numbers in our range! Let's plug in our x-values to get our three y-values.

y=-2(-4)+4

y=12

y=-2(0)+4

y=4

y=-2(5)+4

y= -6

When writing your range, you order the numbers from least to greatest. We can write this range as {-6,4,12}

Have a wonderful day!

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step-by-step explanation:

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol