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kogti [31]
3 years ago
9

What is an irrational number? and what are some examples

Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0
A rational number is any number that can be expressed as the quotient or fraction
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F(x)=2x+1/x-1 then f^-1(1)​
olasank [31]

Answer:

  • f⁻¹(x) = (x + 1) / (x - 2)
  • f⁻¹(1 ) = - 2

Step-by-step explanation:

<u>Given function:</u>

  • f(x) = (2x + 1) / (x - 1)

<u>Find its inverse, substitute x with y and f(x) with x, solve for y:</u>

  • x = (2y + 1) / (y - 1)
  • x(y - 1) = 2y + 1
  • xy - x = 2y + 1
  • xy - 2y = x + 1
  • y(x - 2) = x + 1
  • y = (x + 1) / (x - 2)

<u>Substitute y with f⁻¹(x):</u>

  • f⁻¹(x) = (x + 1) / (x - 2)

<u>Find  f⁻¹(1 ):</u>

  • f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2
6 0
2 years ago
The rate at which a plant grows is constant. At the 3rd week it is 12 inches tall and at the 5th week it is 20 inches tall. If t
satela [25.4K]

Answer:

4

Step-by-step explanation:

3 (week), 12 (inches)

(3,12) = (1,4)

(x,y)

x=1

y=4

Ans- y=4

7 0
3 years ago
Which expression represents the word phrase six decreased by one third of a number?
sergij07 [2.7K]

Answer: 6-1/3n

Step-by-step explanation:

4 0
3 years ago
If kevin makes c toys in m minutes, how many toys can he make per hour
mina [271]

Answer:

\frac{60c}{m}

Step-by-step explanation:

We can use the unity rule to solve this problem.

Number of toys made in m minutes = c

Number of toys made in 1 minute = \frac{c}{m}

Number of toys made in 60 minutes = \frac{c}{m} \times 60 = \frac{60c}{m}

Since 60 minutes = 1 hours, we can write:

Number of toys made in 1 hour = \frac{60c}{m}

Therefore, we can say that Kevin makes \frac{60c}{m} toys per an hour.

7 0
3 years ago
The atomic mass unit (amu) is a unit used to represent the blank of an atom.
aleksandrvk [35]

Answer:

the answer is no

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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