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lara31 [8.8K]
4 years ago
10

thomas argues that rational 27 divided by rational 3 is rational. mateo argues that the quotient between rational 27 and rationa

l 3 is irrational. prove who is right. justify your anwser
Mathematics
1 answer:
vitfil [10]4 years ago
8 0

Answer:

Rational

Step-by-step explanation:

A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). However, one third can be express as 1 divided by 3, and since 1 and 3 are both integers, one third is a rational number.

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hope it helps</span>
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Why are there two solutions for the equation |6 + y| = 2? Explain.
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Solution, \left|6+y\right|=2\quad :\quad y=-8\quad \mathrm{or}\quad \:y=-4

Steps:

|f\left(y\right)|=a\quad \Rightarrow \:f\left(y\right)=-a\quad \mathrm{or}\quad \:f\left(y\right)=a, 6+y=-2\quad \quad \mathrm{or}\quad \:\quad \:6+y=2

6+y=-2\quad :\quad y=-8,\\6+y=-2,\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}, 6+y-6=-2-6,\\\mathrm{Simplify}, y=-8

6+y=2\quad :\quad y=-4,\\6+y=2,\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides},6+y-6=2-6\\\mathrm{Simplify},y=-4

\mathrm{Combine\:the\:ranges}, y=-8\quad \mathrm{or}\quad \:y=-4

\mathrm{The\:Correct\:Answer\:is\:Because\:of\:the\:absolute\:value,\:It\:could\:be\:Positive\:or\:negative.}

\mathrm{Hope\:This\:Helps!!!}

\mathrm{-Austint1414}

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