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mel-nik [20]
3 years ago
15

Is 2/3 a rational or irrational

Mathematics
2 answers:
anygoal [31]3 years ago
8 0

Answer:

it is a rational number

Step-by-step explanation:

hope dis helps ;D

bagirrra123 [75]3 years ago
8 0

Answer:

irrational

Step-by-step explanation:

A rational number is one that can be written as the ratio of two integers. For example 3=3/1, −17, and 2/3 are rational numbers.So in that case 2/3 is irrational.

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Answer and Step-by-step explanation:

Let x and y be two positive integers and their sum is 14:

X + y = 14

And the sum of square of this number is:

f = x2 + y2

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Differentiate with respect to x, we get:

F’(x) = [ x2 + (14 – x)2]’ = 0

        2x + 2(14-x)(-1) = 0

        2x +( 28 – 2x)(-1) = 0

     2x – 28 +2x = 0

        2x + 2x = 28

         4x = 28

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Hence, y = 14 – x = 14 -7 = 7

Now taking second derivative test:

F”(x) > 0

For x = y = 7,f reaches its maximum value:

(7)2 + (7)2 = 49 + 49

                   = 98

F at endpoints x Є [ 0, 14]

F(0) = 02 + (14 – 0)2

       =  196

F(14) = (14)2 + (14 – 14)2

  = 196

Hence the sum of squares of these numbers is minimum when x = y = 7

And maximum when numbers are 0 and 14.

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2 years ago
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Answer:

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Step-by-step explanation:

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