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bulgar [2K]
2 years ago
14

15. If a number x is rational, must the number x² be rational as well? Explain.

Mathematics
1 answer:
sammy [17]2 years ago
8 0

The square of a rational number is a rational number.

<h3>What are rational numbers?</h3>

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.

A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

Therefore, rational numbers are express as follows; p / q.

Hence, x is a rational number . let's confirm that x² is rational or not.

Therefore, When we square a rational number, each prime factor has an even exponent.

For example

p / q = p²/ q²

Hence, the square is a rational number.

learn more on rational number: brainly.com/question/14066831

#SPJ1

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Step-by-step explanation:

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A video game is on sale at Amazon for 30% off the original price of $28.50. Both Pat and Henri want to purchase the game, but th
DanielleElmas [232]

Answer:

Step-by-step explanation:

Explanation:

Step one:

The original price of the video game= $28.5

Cash at hand= $22

Discount= 30%

Tax= 10%

1. Pat's strategy

Amount discounted

=30/100*28.5

=0.3*28.5

=$8.55

28.5-8.55

=$19.95

Amount of tax added

=10/100*28.5

=0.01*28.5

=2.85

=17.15+2.85

=$22.8

Hence going by Pat's strategy, the total amount to be paid is

=$22.8

2. Henri's strategy

=70/100*28.5

=0.70*28.5

=$19.95

110% of $28.5

=110/100*28.5

=1.1*28.5

=$31.35

the tax is

31.35-28.5

=$2.85

i. Hence by Henri's strategy, the sales price with tax is

=19.95+2.85

=$22.8

ii. Yes Pat's strategy will compute the correct total,

   30% of $28.5 is $8.55 which is the amount to be deducted as a discount

   10% of $28.5 is $2.85 which is the amount to be added as tax

    Hence the total amount to be paid is $22.8

iii  Yes Henri's strategy also gave the correct total

  70% of 28.5 is $19.95

  110% of 28.5 of tax is the same as adding 10% of 28.5 to 28.5

   = 31.35, substracting the original price we got the tax added

    which is $2.85

iv. No, they both don't have enough money to purchase the video game,

  because they only have $22and the game is to be sold for $22.8

5 0
3 years ago
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MrRa [10]


false... even if you got 100 on the next test, you would only have an 84 average


Hope this helped!!! :) (comment if you don't understand)

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3 years ago
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Alex17521 [72]

Answer:

where the question?

Step-by-step explanation:

can I see.i will see if I can do it to answer

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