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nignag [31]
3 years ago
15

If fx = 3x over 5 +3 which of the following is the inverse

Mathematics
1 answer:
Alborosie3 years ago
3 0

Answer:

f^(-1)(x) = -3x/(3x-3)

Step-by-step explanation:

1) replace f(x) by y

● y = 3x/(5x+3)

2) exchange x and y

● y = 3x/(5x+3)

● x = 3y / (3y +3)

3) solve for y

● x = 3y / (3y +3)

● x (3y +3) = 3y

● 3xy + 3x = 3y

● 3xy - 3y = -3x

● y (3x - 3) = -3x

● y = -3x /(3x-3)

4) replace y with f^(-1)(x)

● y = -3x/(3x-3)

● f^(-1)(x) = -3x/(3x-3)

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Olivia is thinking of a number.She says, "My number is odd. It is a factor of 30 and a multiple of 3"
Katarina [22]

Answer:

15

Step-by-step explanation:

Factors of 30:

1 , 2, 3, 5, 6, 10, 15, 30

Multiples of 3:

3, 6, 9, 12, 15, etc.

The first number (and only number) shared by both sets is 15, therefore 15 is your answer.

~

8 0
3 years ago
Read 2 more answers
A gardener is planting two types of trees:
Scrat [10]

It will take 4 years for these trees to be the same height

Step-by-step explanation:

A gardener is planting two types of trees:

Type A is 6 feet tall and grows at a rate of 12 inches per year

Type B is 2 feet tall and grows at a rate of 24 inches per year

We need to find exactly how many years it will take for these trees to be the same height

Assume that it will take x years for these trees to be the same height

Type A:

∵ The initial height of the tree is 6 feet

∵ 1 foot = 12 inches

∴ 6 feet = 6 × 12 = 72 inches

∴ The initial height of the tree is 72 inches

∵ It grows at a rate of 12 inches per year

∵ The number of years is x

∴ The height of the tree in x years = 72 + 12 x

Type B:

∵ The initial height of the tree is 2 feet

∴ 2 feet = 2 × 12 = 24 inches

∴ The initial height of the tree is 24 inches

∵ It grows at a rate of 24 inches per year

∵ The number of years is x

∴ The height of the tree in x years = 24 + 24 x

Equate The heights of the two types

∴ 72 + 12 x = 24 + 24 x

- Subtract 2 from both sides

∴ 48 + 12 x = 24 x

- Subtract 12 x from both sides

∴ 48 = 12 x

- Divide both sides by 12

∴ x = 4

It will take 4 years for these trees to be the same height

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

3 0
3 years ago
Luis put out
solniwko [45]

Answer:

<u><em>2 1/4 pies</em></u>

Step-by-step explanation:

Find out how much pie was leftover from each pie:

Apple pie: 3/4, 4 - 3 = 1, 1/4

Blackberry: 1/2, 2 - 1 = 1, 1/2

Blueberry: 1/8, 8 - 1 = 7, 7/8

Cherry: 5/8, 8 - 5 = 3, 3/8

Peach: 3/4, 4 - 3 = 1, 1/4

There are 1/4, 1/2, 7/8, 3/8, and 1/4 pies left. The LCD if these numbers is 8, since 2*4 = 8, 4*2 = 8, and 8*1 = 8

1/4 = 2/8

1/2 = 4/8

7/8 = 7/8

3/8 = 3/8

1/4 = 2/8

2 + 4 + 7 + 3 + 2 = 18, so 18/8 pies, or 2 2/8, or 2 1/4

5 0
3 years ago
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What is the volume of thiss figure ?
allochka39001 [22]

Answer:

18 ft³

Step-by-step explanation:

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3 years ago
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on a SOL, a test that had 60 questions. how many questions could've you gotten wrong to have a passing grade?
iren [92.7K]
I think its 45 or 55
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3 years ago
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