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1 year ago

Does the numerical expression of (2 times 4) plus (3 times 3) has a value of 33

Mathematics

1 answer:

Ede4ka [16]1 year ago

8 0

No 2 times 4 is 8 and 3 times 3 is 9, 8 plus 9 is not 33 it’s 17

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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

What is this please help?

mestny [16]

Answer:

y = 2/3x - 1

Step-by-step explanation:

The simpliest way to determine the slope of the line is to see the rise over run of the line. In this case, we are given two points which are at (0, -1) and (3,1)

By calculating rise of run, we can see that the starting point goes up by 2 units, from -1 to 1 and goes to the right 3 units, from 0 to 3

In this case, that means we have a slope of 2/3x.

The +b plays into the y-intercept of the line, which is actually the same of one of our points: (0,-1)

Since this number is a negative, it would actually be y = (2/3)x + (-1) which is the same as y=2/3x - 1

7 0

2 years ago

Jayson bought 4.8 gallons of gas at 2.95 per gallon how much did he spend

rosijanka [135]

Answer:

$14.16

Step-by-step explanation:

4.8 × 2.95. =14.16

8 0

2 years ago

Use the expression 8a + 16c.

irakobra [83]

Answer:

PA) 8

PB) 45

Step-by-step explanation:

PA) Find the prime factors of each term in order to find the greatest common factor (GCF).

PB)

Step 1:

(8 x 5) + (16 x -1)

Step 2: Multiply

40 + 15

Step 3: Add

5 0

2 years ago

The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 555

a_sh-v [17]

Answer:

b c d

Step-by-step explanation:

8 0

2 years ago