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babymother [125]
3 years ago
13

Question 9. True or false? Provide a simple counter-example if it is false. (9.a) The sum of two rational numbers x, y EQ is alw

ays a rational number, x+y EQ. (9.b) The sum of two irrational numbers x, y ER - Q is always an irrational number, x +y ER-Q. (9.c) The sum of the squares of two distinct real numbers x,y ER, with x #y, is always a positive real number, x2 + y2 ER and x2 + y2 > 0. (9.d) If a, b ER, then ab E R.
Mathematics
1 answer:
eimsori [14]3 years ago
8 0

Answer:

a. True. Rational numbers are closed under the sum operation, therefore, the sum of two rational numbers is always a rational number.

b. True. irrational numbers are closed under the sum operation, therefore, the sum of two irrationals numbers is always a irrational number.

c. True. The square of a real number is always a number greater than zero, and the sum of two numbers greater than zero is greater than zero.

d. True. The real numbers are closed under the product operation, then if a and b are reals numbers, the product ab is also a real number.

Step-by-step explanation:

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2 years ago
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nordsb [41]

Answer:

+12.5%

Step-by-step explanation:

This is rather simple. Subtract 72 from 81, then put the difference over 72. Then, multiply that by 100.

(81 - 72)/72 * 100

<em>Subtract 72 from 81 to get 9</em>

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<em>Multiply 9 by 100 to get 900</em>

900/72

<em>Simplify the above fraction by cancelling out 9.</em>

100/8

<em>Divide 100 by 8 to get 12.5%</em>

The percent of change is +12.5%

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pantera1 [17]
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Answer:

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Step-by-step explanation:

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13, 11, 9, 7, 5, 3, 1

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Hope I helped! ouo.

~Potato.

Copyright Potato 2019.

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