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2 years ago

The table shows a linear relationship between x and y.

Mathematics

1 answer:

vovangra [49]2 years ago

4 0

Answer:

Step-by-step explanation:b

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What was the rate of change between $65 and $65 <br><br> Please help

Furkat [3]

Answer:

There is no change.

Step-by-step explanation:

8 0

2 years ago

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Let A be a set of numbers.

LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

Let A be a set of all integers divisible by 5.

Let $x,y$ ∈A such that $x=5m\,,\,y=5n$

Find $x+y,xy$

$x+y=5m+5n=5(m+n)$

So, $x+y$ is divisible by 5.

$xy=(5m)(5n)=25mn=5(5mn)$

So,

$xy$ is divisible by 5.

Therefore, A is closed under addition and multiplication.

Let A = { 2n +1 | n ∈ Z}

Let $x,y$ ∈A such that $x=2m+1\,,\,y=2n+1$ where m, n ∈ Z.

Find $x+y,xy$

$x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)$

So,

$x+y$ ∉ A

$xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1$

So,

$xy$ ∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

$Let A=\{2,5,8,11,14,...\}$

Let $x=2,y=5$ but $x+y=2+5=7$ ∉A

Also,

$xy=2(5)=10$ ∉A

Therefore, A is not closed under addition and multiplication.

Let A = { 17n: n∈Z}

Let $x,y$ ∈ A such that $x=17n,y=17m$

Find x + y and xy

$x+y=17n+17m=17(n+m)$

$xy=(17m)(17n)=289mn=17(17mn)$

So,

$x+y,xy$ ∈ A

Therefore, A is closed under addition and multiplication.

Let A be the set of nonzero real numbers.

Let $x,y$ ∈ A such that $x=-1,y=1$

Find x + y

$x+y=-1+1=0$

So,

$x+y$ ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0

2 years ago

In 16 years, Ben will be 3 times as old as he is now. How old is he?

Igoryamba

First, do 16 x 3 to get 48. Then subtract 16 and youll get 32

3 0

3 years ago

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Please answer correctly! I will mark you Brainliest! The pictures go together! Please No answering without knowing answer or sca

Anna007 [38]

Answer:

$904.32$

Step-by-step explanation:

$\frac{4}{3}\cdot \:3.14\cdot \:6^3$ = $904.32$

The volume of a sphere is $\frac{4}{3}$ $\pi$ $r^{3}$

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2 years ago

At the party, 6/16 of the guest were playing games and 3/8 of the guest were singing.Pat said that the number of guest were play

ziro4ka [17]

Yes. 6/16 simplifies to 3/8, which is the same amount of people singing.

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3 years ago

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