Mathematics, 24.09.2020 22:01, arnold2619
Now examine the sum of a rational number, y, and an irrational number, x. The rational number y can be written as y = , where a and b are integers and b ≠ 0. Leave the irrational number x as x because it can’t be written as the ratio of two integers. Let’s look at a proof by contradiction. In other words, we’re trying to show that x + y is equal to a rational number instead of an irrational number. Let the sum equal , where m and n are integers and n ≠ 0. The process for rewriting the sum for x is shown. Statement Reason substitution subtraction property of equality Create common denominators. Simplify. Based on what we established about the classification of x and using the closure of integers, what does the equation tell you about the type of number x must be for the sum to be rational? What conclusion can you now make about the result of adding a rational and an irrational number?
Answers: 1
Mathematics, 21.06.2019 19:00, Maya629277
Zroms according to the synthetic division below, which of the following statements are true? check all that apply. 352 -2 6 -12 12 2 4 0 i a. (x-3) is a factor of 2x2 - 2x - 12. b. the number 3 is a root of f(x) = 2x2 - 2x - 12. c. (2x2 - 2x - 12) = (x + 3) = (2x + 4) d. (2x2 - 2x-12) - (x-3) = (2x + 4) e. (x+3) is a factor of 2x2 - 2x - 12. o f. the number -3 is a root of fx) = 2x2 - 2x - 12. previous
Answers: 2
Now examine the sum of a rational number, y, and an irrational number, x. The rational number y can...
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