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LUCKY_DIMON [66]
3 years ago
12

If y − 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

Mathematics
2 answers:
alekssr [168]3 years ago
5 0
{(3,0),(6,1),(9,2)} because
when you plug in the values you get 
3-3=3(0)   =     0=0 

6-3=3(1)    =     3=3

9-3=3(2)   =     6=6

labwork [276]3 years ago
5 0

Answer:

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

Step-by-step explanation:

we have

y-3=3x

we know that

If the set represents possible inputs and outputs of the function, then all ordered pairs of the set must be satisfy the function

Let's verify all the cases to determine the solution to the problem

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

<u>Verify first pair</u>

(3)-3=3*(0)

0=0 ------> is true

<u>Verify second pair</u>

(6)-3=3*(1)

3=3 ------> is true

<u>Verify third pair</u>

(9)-3=3*(2)

6=6 ------> is true

therefore

The set {(0, 3), (1, 6), (2, 9)} represent possible inputs and outputs of the function

case B) {(3, 0), (6, 1), (9, 2)}

<u>Verify first pair</u>

(0)-3=3*(3)

-3=9 ------> is not true

it is not necessary to verify the other pairs, because the first one does not meet the requirements.

therefore

The set {(3, 0), (6, 1), (9, 2)} does not represent possible inputs and outputs of the function

case C) {(1, 3), (2, 6), (3, 9)}

<u>Verify first pair</u>

(3)-3=3*(1)

0=3 ------> is not true

it is not necessary to verify the other pairs, because the first one does not meet the requirements.

therefore

The set {(1, 3), (2, 6), (3, 9)} does not represent possible inputs and outputs of the function

case D) {(3, 1), (6, 2), (9, 3)}

<u>Verify first pair</u>

(1)-3=3*(3)

-2=9 ------> is not true

it is not necessary to verify the other pairs, because the first one does not meet the requirements.

therefore

The set{(3, 1), (6, 2), (9, 3)} does not represent possible inputs and outputs of the function

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Answer:

Boris will have $250 in 10 months.

Step-by-step explanation:

$25 = one month.

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To find ?, the months we divide 250 by 25 to get this:

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10 months is the amount of time Boris will have to wait until he saves up $250.

Hope this helps you! Good luck with your quiz! :)

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Answer:

d. 4.5

Step-by-step explanation:

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How much would you need to deposit in an account now in order to have $4000 in the account in 15 years? Assume the account earns
Finger [1]

Answer:

$2500

Step-by-step explanation:

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2 years ago
Triphasil-28 birth control tablets are taken sequentially, 1 tablet per day for 28 days, with the tablets containing the followi
bazaltina [42]

Answer:

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

Step-by-step explanation:

The total milligrams of levonorgestrel is:

L = L_{1} + L_{2} + L_{3}

In which L_{1}, L_{2} and L_{3} are the number of miligrams of levonorgestrel taken in each phase.

The total milligrams of ethinyl estradiol is:

E = E_{1} + E_{2} + E_{3}

In which E_{1},E_{2} and E_{3} are the number of miligrams of ethinyl estradiol taken in each phase.

We can solve this by phase.

Phase 1: 6 tablets, each containing 0.050 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

6*0.050mg = 0.30mg of levonorgestrel and 6*0.030mg = 0.18mg of ethinyl estradiol are taken.

So L_{1} = 0.30 and E_{1} = 0.18

Phase 2: 5 tablets, each containing 0.075 mg of levonorgestrel and 0.040 mg ethinyl estradiol

In this phase,

5*0.075mg = 0.375mg of levonorgestrel and 5*0.040mg = 0.20mg of ethinyl estradiol are taken.

So L_{2} = 0.375 and E_{2} = 0.20

Phase 3: 10 tablets, each containing 0.125 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

10*0.125mg = 1.25mg of levonorgestrel and 10*0.030mg = 0.30mg of ethinyl estradiol are taken.

So L_{3} = 1.25 and E_{3} = 0.30

The total milligrams of levonorgestrel is:

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E = E_{1} + E_{2} + E_{3} = 0.18 + 0.20 + 0.30 = 0.68

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

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