Which equations support the fact that rational numbers are closed under addition? Select each correct answer.

Mathematics

2 answers:

sveta [45]3 years ago

8 0

The first and fourth equations justify this.

~ThePirc

bazaltina [42]3 years ago

3 0

Answer:

1/2 +0.5=1 and 3√16 + 3√16=6√16

Step-by-step explanation:

Rational numbers are numbers that can be written as fractions. These include fractions, decimals, integers and whole numbers, or anything that can be simplified to one of these.

1/2 + 0.5 = 1 shows us a fraction added to a decimal that equals a whole number. All three of these are rational numbers, so this shows that rational numbers are closed under addition.

3√16 + 3√16=6√16 contains a radical, which is only a rational number if it simplifies to one. √16 = 4; this means we can rewrite this as

3(4) + 3(4) = 6(4)

This gives us

12 + 12 = 24

This is a true statement, and shows that rational numbers are closed under addition.

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Graph the system below and write its solution. <br> 2X+Y=-6<br> Y= -1/3X-1

puteri [66]

2x + y = -6
y = ⁻¹/₃x - 1

2x + (⁻¹/₃x - 1) = -6
2x - ¹/₃x - 1 = -6
1²/₃x - 1 = -6
+ 1 + 1
1²/₃x = -5
1²/₃ 1²/₃
x = -3

y = ⁻¹/₃x - 1
y = ⁻¹/₃(-3) - 1
y = 1 - 1
y = 0
(x, y)= (-3, 0)