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enot [183]
4 years ago
10

1. Which of the following numbers is an example of an integer?

Mathematics
1 answer:
Leokris [45]4 years ago
8 0
1. All whole numbers (0, 1, 2,...) and their negative equivalent ( -1, -2, -3, ...) are considered integers. Hence, from the choices provided, the answer would be A. 2. Real numbers consist of rational and irrational numbers. So the statement "Every real number is a rational number" is not correct. Thus, the answer is D. 3. 5.85, 63.4, and 27.5 are terminating decimals. This means that they have a fixed decimal conversion and does continue endlessly. Meanwhile, for 8.52624 . . ., its digit goes on forever. So, odd one out would be C. 4. Irrational numbers are those that cannot be expressed as the ratio of two numbers. Examples for this would be the value of the constant e, √2, etc. Rational numbers, on the other hand, are numbers that can be expressed as ratio of two numbers. As can be seen irrational and rational numbers are opposite of ech other, by definition. Hence, irrational numbers cannot be classified as rational numbers. That will give an answer of E. 5. From the previous items, we can see that both rational and irrational numbers are part of the real number system. This means that every irrational number is a real number. Hence, the answer is C. <span>Answers: A, D, C, E, C </span>
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The solution for x is equal to x = (4 · y) / (r + 6).

<h3>How to find an explicit solution of an algebraic equation</h3>

In this problem we have an equation formed by three variables (r, x, y) and a constant and we are asked to clear x as a function of r and y. Now we present the entire procedure:

(r · x + 6 · x) / y = 4             Given

(r · x + 6 · x) = 4 · y             Defintion of division / Associative property / Compatibility with multiplication / Existence of multiplicative inverse / Modulative property

x · (r + 6) = 4 · y                  Distributive property

x = (4 · y) / (r + 6)                Compatibility with multiplication / Associative property / Existence of multiplicative inverse / Modulative property / Definition of division / Result

The solution for x is equal to x = (4 · y) / (r + 6).

To learn more on equations: brainly.com/question/10413253

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