If y − 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? A. {(0, 3), (1, 6), (2, 9)}
B. {(3, 0), (6, 1), (9, 2)}
C. {(1, 3), (2, 6), (3, 9)}
D. {(3, 1), (6, 2), (9, 3)}

A. {(0, 3), (1, 6), (2, 9)}

Step-by-step explanation:

All you have to do is substitute them

A.

y − 3 = 3x

3 - 3 = 3 (0)

0 = 0

y − 3 = 3x

6 - 3 = 3 (1)

3 = 3

y - 3 = 3x

9 - 3 = 3 (2)

6 = 6

B.

y - 3 = 3x

0 - 3 = 3(3)

-3 = 6

You can tell that this one can't be one of the answer which means that B wont be the answer, so you don't have to do anymore work for this one.

C.

y - 3 = 3x

3 - 3 = 3(1)

0 = 3

This one can't be an answer either

D.

y - 3 = 3x

1 - 3 = 3(1)

-2 = 3

And this one can't be an answer either

This concludes, that A will be the answer here since all of the ordered pair can be x and y when you use the inputs and outputs that were given.

Hope this helped!

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )