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yaroslaw [1]
2 years ago
9

Choose the correct translation for the following statement. It is at most ten.

Mathematics
1 answer:
8_murik_8 [283]2 years ago
3 0

Answer:

x ≤ 10

Step-by-step explanation:

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Prove that if r is any rational number, then 3r2 − 2r + 4 is rational. The following properties may be used in your proof. Prope
ziro4ka [17]

Given:

Expression is

3r^2-2r+4

To prove:

If r is any rational number, then 3r^2-2r+4 is rational.

Step-by-step explanation:

Property 1: Every integer is a rational number. It is Theorem 4.3.1.

Property 2: The sum of any two rational numbers is rational. It is Theorem 4.3.2.

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Let r be any rational number.

We have,

3r^2-2r+4

It can be written as

3(r\times r)-2r+4

Now,

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3r^2\text{ and }-2r are rational by Property 3.

3r^2+(-2r)+4 is rational by property 2.

So, 3r^2-2r+4 is rational.

Hence proved.

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