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defon
3 years ago
8

Find an equation for the inverse of the following relation. y=12x-3

Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0
<h3>Answer:</h3>

<em>Your answer would be y=x+3/12</em>

<h3>Step-by-step explanation:</h3>

Firstly, you'll switch sides of the equation.

<em>y=12x+3 ---> x=12y-3</em>

Next, add 3 to both sides.

<em>x=12y-3 ---> 12y-3+3=x+3</em>

Simplify it.

<em>12y-3+3=x+3 ---> 12y=x+3</em>

Then, divide both sides by 12.

<em>12y=x+3 ---> 12y/12 = x/12 + 3/12</em>

Simplify once more.

12y/12 = x/12 + 3/12 --- y= x+3/12

<u>y=x+3/12 would be your answer.</u>

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For a set of five whole numbers, the mean is 4, the mode is 1, and the median is 5. What are the five numbers?
zmey [24]
SO we need 5 numbers that equal to 20, with 5 being the middle number, and ones being the most used number so

1 1 5 x y

According to this, x and y must equal 13 and both be bigger then 5. Because we can rule out every other number, x and y must be 6 and 7.

Your 5 numbers are 1, 1, 5, 6, 7.
5 0
3 years ago
A cylindrical plastic pipe’s length is 12 cm and it’s radius is 2.5 cm. To the nearest tenth, what is the volume of the pipe?
NemiM [27]

Answer:

V = 235.6 cm³

Step-by-step explanation:

the formula for the volume of a cylinder of radius r and length h is

V = πr²h.  

Here, r = 2.5 cm and h = 12 cm, so the volume is:

V = π(2.5 cm)²(12 cm) = 75π cm³

To the nearest tenth, this volume would be V = 235.6 cm³

7 0
3 years ago
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If it takes Maddox 7.5 hours to drive 375 miles, how far could he drive in 3 hours at the same rate?
stealth61 [152]

Answer:

150 miles

Step-by-step explanation:

375 divided by 7.5 is 50

50 time 3 is 150

4 0
2 years ago
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The slope between (-3,5) and (6, -4)
gregori [183]

Answer:

-1

Step-by-step explanation:

4 0
3 years ago
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as a part of its diet, a pacific seahorse eats about 56 shrimp per week.It eats the same amount each day
Furkat [3]

Answer:

The Pacific seahorse eats  8 shrimp per day

Step-by-step explanation:

<u><em>The complete question is</em></u>

As a part of its diet, a Pacific seahorse eats about 56 shrimp per week. It eats  the same amount each day.

a) How much shrimp does the Pacific seahorse eat per day?

Complete the statement with the unit rate.

The Pacific seahorse eats  _____ shrimp per day.

Part a) How much shrimp does the Pacific seahorse eat per day?

Let

x ---> the number of shrimp that the Pacific seahorse eats per day

we know that

The number of shrimp that the Pacific seahorse eats per day, multiplied by the number of days in a week, must be equal to 56 shrimp

1\ week=7\ days

so

The linear equation that represent this situation is equal to

7x=56

solve for x

Divide by 7 both sides

x=8\ shrimp

therefore

The Pacific seahorse eats  8 shrimp per day

5 0
3 years ago
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