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morpeh [17]
3 years ago
7

1 .Is the product of two rational numbers irrational or rational? First, make a hypothesis by multiplying two rational numbers.

Then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.
2.What do you think the product of a nonzero rational number and an irrational number is? Is it rational or irrational? Make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.

3.Why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and irrational number is? If the rational number were 0, would it give us the same result we found in part B?


I WILL GIVE BRAINLIEST ANSWER TO SOMEONE WHO ACTUALLY ANSWER THE QUESTION THE RIGHT WAY
Mathematics
1 answer:
horsena [70]3 years ago
6 0

Answer:

irrational lol 2 whole years

later

Step-by-step explanation:

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Mixed in a drawer are 44 blue​ socks, 88 white​ socks, and 44 gray socks. You pull out two​ socks, one at a​ time, without looki
MrRissso [65]

Answer:

The probability of getting 2 socks of the same color is 1/3.

Step-by-step explanation:

In the drawer,

Number of blue socks = 4

Number of white socks = 8

Number of gray socks = 4

Total number of socks  = 4 + 8 + 4 = 16

Total ways to select 2 socks form 16 socks is

^{16}C_2=\dfrac{16!}{2!(16-2)!}=120

Total ways to select 2 socks of the same color is

T = Possible ways of (2 blue + 2 white +2 gray) socks

  = ^{4}C_2+^{8}C_2+^{4}C_2

  = 6+28+6

  = 40

The probability of getting 2 socks of the same color is

Probability=\dfrac{\text{Total ways to select 2 socks of the same color}}{\text{Total ways to select 2 socks form 16 socks}}

Probability=\dfrac{40}{120}

Probability=\dfrac{1}{3}

Therefore, the probability of getting 2 socks of the same color is 1/3.

3 0
2 years ago
Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe
adoni [48]

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

<h3>How to use composition between two function</h3>

Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

V(t) = (1/48) · π · t⁶

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

#SPJ1

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2 years ago
When solving for y in a equation what is the answer to 5x-3y=21​
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Answer:

y=53x-7

Step-by-step explanation:

5x-3y=21

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3 years ago
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Estimate<br>37 to the nearest tenth. Then locate<br>37 on a number line.​
balu736 [363]
37 to the nearest tenth is 40.
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(a−2b)^3 when a=−4 and b=−12
erma4kov [3.2K]

Answer:

8,000

Step-by-step explanation:

You can simplify it to (-4+24)^3a

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2 years ago
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