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2 years ago

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Between which pair of consecutive integers does square root 21 lie? 10 and 11 5 and 6 20 and 22 4 and 5

1 answer:

Zolol [24]2 years ago

8 0

square root of 11. 3 & 4 2. square root of 33. 5 & 6 3. square root of 8. 2 & 3 4. cube root of 220. 6 & 7 5. cube root of -80. 4 & 5 6. fourth root of 20. 2 & 3 7. square root of 300. 17 & 18 8. fifth root of -35. 2 & 3 9. square root of 150. 12 & 13 10. cube root of -312. 6 & 7

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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.

Property 3: The product of any two rational numbers is rational. It is Exercise 15 in Section 4.3.

Let r be any rational number.

We have,

$3r^2-2r+4$

It can be written as

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

Now,

3, -2 and 4 are rational numbers by property 1.

$r^2=r\times r$ is rational by Property 3.

$3r^2\text{ and }-2r$ 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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2 years ago

A radio is on sale for half price. Let y be its original price. Write an expression that tells its sale price.

svetlana [45]

Answer:

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Step-by-step explanation:

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2 years ago

Correct answer gets brainialist!! Music notes are one application of using fractions in the real world. The different types of n

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Answer:

three quarter noted as as fraction would be 3/4

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3 years ago

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Answer:

Step-by-step explanation:

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Vedmedyk [2.9K]

Answer:

A. (3,3)

Step-by-step explanation:

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