Mathematics

Mathematics, 12.07.2019 11:00, Yskdl

What is the rational number for this expression?

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Mathematics, 03.08.2019 03:30, dkdk31

Below is a proof showing that the sum of a rational number and an irrational number is an irrational number. let a be a rational number and b be an irrational number. assume that a + b = x and that x is rational. then b = x – a = x + (–a). x + (–a) is rational because however, it was stated that b is an irrational number. this is a contradiction. therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number. in conclusion, the sum of a rational number and an irrational number is irrational. which of the following best completes the proof? it is the sum of two rational numbers. it is the sum of two irrational numbers. it represents a non-terminating, non-repeating decimal. its terms cannot be combined.

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Mathematics, 18.09.2019 21:00, erickamurillo9929

Below is a proof showing that the sum of a rational number and an irrational number is an irrational number. let a be a rational number and b be an irrational number. assume that a + b = x and that x is rational. then b = x – a = x + (–a). x + (–a) is rational because however, it was stated that b is an irrational number. this is a contradiction. therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number. in conclusion, the sum of a rational number and an irrational number is irrational. which of the following best completes the proof? it is the sum of two rational numbers. it is the sum of two irrational numbers. it represents a non-terminating, non-repeating decimal. its terms cannot be combined.

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Mathematics, 01.10.2019 18:30, daedae11142

The true statement "if x is a rational number and y is a rational number, then the sum of x and y is a rational number" is often confused with the converse "if the sum of x and y is a rational number, then x is a rational number and y is a rational number." in this case, the converse is not always true. which statement is false? a) if the sum of x and y is a rational number, then x must be a rational number. b) if x = 3.5 and y is a whole number, then the sum of x and y must be a rational number. eliminate c) if x is an even integer and y is an odd integer, then the sum of x and y must be a rational number. d) if the sum of x and y is a rational number, then x may be a rational number or x may be an irrational number.

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Mathematics, 28.10.2019 23:31, zmeister

1. payton says that rational expressions are not closed under addition, subtraction, multiplication, or division. his claim is shown below. is he correct for each case? justify your answers. a. x / 2x + 1 +x + 1 / 2x + 1 = 1, and 1 is a whole number, not a rational expression. b. 3x − 1 / 2x + 1 − 3x − 1 / 2x + 1 = 0, and 0 is a whole number, not a rational expression. c.x − 1 / x + 1 ∙x + 1 / 1 = x − 1, and x − 1 is a whole number, not a rational expression. d. x − 1 / x + 1÷1 / x + 1 = x − 1, and x − 1 is a whole number, not a rational expression.

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