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Which of the following ordered pairs is a solution to f(x) = 12 - 3x?(3, -6)(-2, 15)(5, -3)(7, - 4)

1 Answer

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ANSWER

(5, -3)

Step-by-step explanation

We want to find which of the options is a solution to the function:

f(x) = 12 - 3x

We know that ordered pairs are given in the form (x, f(x)).

That is the x value followed by the value of the function.

This means that to solve this problem, we have to put the first value in the bracket into the function and see if it will result in the second value.

Let us do that with the options:

=> (3, -6)

f(3) = 12 - 3

f(3) = 9

Not a solution.

=> (-2, 15)

f(-2) = 12 - 3(-2)

f(-2) = 12 - (-6) = 12 + 6

f(-2) = 18

Not a solution.

=> (5, -3)

f(5) = 12 - 3(5)

f(5) = 12 - 15

f(5) = -3

This is a solution.

=> (7, -4)

f(7) = 12 - 3(7)

f(7) = 12 - 21

f(7) = -9

Not a solution.

Therefore, the ordered pair that is a solution is (5, -3).

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