All categories

2 years ago

Patterns and functions

Mathematics

1 answer:

Montano1993 [528]2 years ago

3 0

Anddddddddddddd? what else?

You might be interested in

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

On a number line, point A has a coordinate of -6, and point B has a coordinate of 2. Which is the coordinate of point M, the mid

damaskus [11]

In my opinion
The answer is B

5 0

2 years ago

Graph x^2 +8x+4y+8=0

Afina-wow [57]

Answer:

x y

− 6 1

− 5 7 /4

− 4 2

− 3 7 /4

− 2 1

Step-by-step explanation:

5 0

2 years ago

It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impa

arlik [135]

I think 8 or 7 because its -3 so +3 to the 5 minutes or 2 since it is a sprinkler hope i help $\alpha \alpha \alpha \alpha \beta x_{123} \lim_{n \to \infty} a_n$

3 0

3 years ago

Read 2 more answers

3 ten thousands 2 thousands *10

Ad libitum [116K]

3 the thousands = 30.000

2 thousands = 2.000

*10 = times ten

30.000 + 2.000 times 10

32.000 * 10

320.000

3 0

2 years ago

Patterns and functions​

Patterns and functions