If x and y are both integers, which expression(s) are equivalent to ||x – y||?

A) ||y – x||



B)

||y + x||



C)

||y|| – ||x|| if x≤y and x≥0



D)

||x|| – ||y|| if y>x



E)

||y|| + ||x|| if y>x

Answers

Answer 1
B is the answer to this
Answer 2

If x and y are both integers, then the expression equivalent to ll x - y ll is,

ll y -x ll.

Here,

Given expression is,  ll x - y ll

What is modulus function?

The modulus function gives the magnitude or absolute value of a number irrespective of the number being positive or negative.

Now,

Let x = 2 and y = 1

Hence, ll x - y ll = ll 2 - 1 ll = 1

And, ll y - x ll = ll 1 - 2 ll = 1

So, Option A is true.

Hence, If x and y are both integers, then the expression equivalent to llx - y ll is, ll y -x ll.

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Related Questions

There are two numbers that are twice as far away from 13 than 22. The sum of those numbers are?

Answers

Answer:

Sum of those numbers are 50

Step-by-step explanation:

Let x represent a number that is twice as far away from 13 than 22.

The number can't be less than 13 but will be between 13 and 22 or slightly more than 22 otherwise it will be far away from both.

Thus;

|x - 13| = 2|x - 22|

It's in absolute form, so we will square both sides to get rid of the absolute brackets.

Thus;

(x - 13)² = 4(x - 22)²

x² - 26x + 169 = 4(x² - 44x + 484)

x² - 26x + 169 = 4x² - 176x + 1936

4x² - x² - 176x + 26x + 1936 - 169 = 0

3x² - 150 + 1767 = 0

Using quadratic formula, we have;

x = 19 or x = 31

Thus,the sum of the 2 numbers = 31 + 19 = 50

The Figure is a parallelogram. solve for x
a) x=1
b) x=11
c) x=7
d) x=7

Answers

Step-by-step explanation:

Try B I'll cry if it's not B

In 73.96 which digit is in the ones place?​

Answers

Answer:

the 6

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

73.96

7 is in the tens place

3 is in the ones place

9 is in the tenths place

6 is in the hundredths place

Hope this helps :)

Find the measure of the indicated angle to the nearest degree.
A. 36
B. 30
C. 54
D. 60

Answers

Answer:

54 degrees

Step-by-step explanation:

This is trigonometry. So we are given the adjacent leg and hypotenuse. So we can use cosine(cah from soh cah toa)

We will have to use the inverse of the trig ratios.

Remember!

cos^-1 is not 1/cos(that is sec)

cos^-1(27/46)

acos(27/46)

54.0586701 and so on

Round to nearest degree 54

Please help with question 2! BRAINLIEST to correct answer!!

Answers

Answer:

the answer is C, 2+i

Step-by-step explanation:

Answer:

1. b

2.d

3.c

4.a

Step-by-step explanation:

hello help me this Question ​

Answers

Here is an attachment of the graph i drew
Hope it helped!

Which of the following best explains why this relation is not a function?

A The input includes 0.


B The input is mapped to the same value as the output.


C One input value is mapped to two different output values.


D Two different input values are mapped to the same output value.

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

knowledge

Answer:

Is C

Step-by-step explanation:

What are the slope and the y-intercept of the linear function that is represented by the table? O the slope is -2/5 and the y-intercept is -1/3. O the slope is 1/3 and the y-intercept is -2/5 O the slope is 2/5 and the y-intercept is -1/3

Answers

Answer: the correct answer is A I promise I just did it “the slope is -2/5, and the y-intercept is -1/3”

Step-by-step explanation:

I got it wrong bc somone gave me the wrong answer

Please help with this‼️‼️

Answers

Answer:

[tex]y+9=\frac{-5}{12}(x-6)\\[/tex]

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1})\\y+9=m(x-6)\\m=\frac{-9-(-4)}{6-(-6)}=\frac{-5}{12}\\y+9=\frac{-5}{12}(x-6)\\[/tex]


Find the missing side:
What’s the missing side

Answers

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 13² + 4² = 169 + 16 = 185 ( take the square root of both sides )

x = [tex]\sqrt{185}[/tex] ≈ 13.6 ( to 1 dec. place ) → B

Can somebody help me please

Answers

Answer:

as it is isosceles triangle

40+40+x=180

x = 100°

Find the value of F(5) for each function

F(x)=6+3x

Answers

Answer:

21

Step-by-step explanation:

f(5)=6+3(5)

f(5)=6+15

f(5)= 21

Answer:

Step-by-step explanation:

F(5)=6+3(5)

F(5)=6+15

F(5)=21

Janet sells custom artwork online. Her business profits for the month of August are shown in the table.

Week Profit
week 1 $56.92
week 2 -$16.54
week 3 $45.58
week 4 -$21.74

How much more profit did Janet make in week 2 than in week 4?

Answers

Answer:

$5.10

Step-by-step explanation:

If you subtract the earnings from week 2 from week 4 then you will get answer. Janet made 21.74$ in week 4 and $16.64 in week 2 so the equation would look like this: 21.74-16.64= $5.10

Answer: -5.20

Step-by-step explanation:

Took the test

write the equation y = x - 4in standard form (Ax + By = C)

Answers

Answer:

y = x - 4

move y to the right side and 4 to the left side

and you will get

4 = x - y which is the same as x - y = 4

The value of the equation is x + ( -y ) = 4

What is Linear Equation in 2 variables?

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = x - 4   be equation (1)

On simplifying the equation , we get

Adding 4 on both sides of the equation , we get

x = y + 4

Subtracting y on both sides of the equation , we get

x - y = 4

Therefore , the value of A is x - y = 4

Hence , the equation is x + ( -y ) = 4

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1. Find the 14th term of the arithmetic sequence -12, -3, 6, 15, ...
A-105
B. 105
C. 114
D. 117​

Answers

Answer:

Step-by-step explanation:

the answer would be B, 105. -12,-3,6,15,24,33,42,51,60,69,78,87,96,105

28 What is the slope of the line that passes through the points (12, -3)
and (-36,25)?

Answers

Answer:

-7/12

Step-by-step explanation:

slope= 25-(-3) / (-36-12)

25+3 / -48

28 / -48

-7 / 12

the answer to 1+1 is 2

Answers

Are you asking or answering?-

Answer:

yes it is

Step-by-step explanation:

Is a function or non function explain

Answers

Answer:

It is a non function.

Step-by-step explanation:

Numbers cannot repeat in functions

To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.
Which equations could you use to find the price of one tire patch? Select all that apply.
A. 4x – 1.9 = 22.2
B. 4x – 22.2 = 1.9
C. 4x + 1.9 = 22.2
D. 4x + 22.2 = –1.9
E. 22.2 – 4x = 1.9

Answers

Answer:

C and E .... Proof below

Step-by-step explanation:

Find the value of x so that the function has the given value.
j(x) = -4/5 +7; j(x) = -5

X =

Answers

Answer:

-78

Step-by-step explanation:

-4/5+7;j(x0= -5

-4/5 equals 0.8

0.8 equals 80

-80+7= -73

-73 - -5= -78

X= -78

Please tell me if wrong

The amount of time is takes dora to commute to work is always within 5 minutes of the average number of minutes the commute takes. If the average ammount of time she takes to get to work is 45 minutes

Answers

Answer:

The average time to commute to work is 25 minutes.

Step-by-step explanation:

If average time for Dora to commute to work is 5 mins. If she takes 45 mins to get to work then her overall average time to commute to work will change as the average consists of 2 or more figures. The average time to commute to work is 25 mins ((5+45)/2). The average of 5 mins and 45 mins is 25 mins. This is the overall average time she takes to commute to her work.

Pls help ASAP this table keeps going

Answers

Answer:

Words: 2 Minutes: 0.33

Step-by-step explanation:

12/6=2 & 2/6=0.33.

Liz is making cookies for the annual bake sale at her
school. Each batch of cookies takes 2 3/4 cups of flour. If Liz
needs to makes 6 batches, how many cups of flour will
she need for all six batches?

Answers

Answer:

9

Step-by-step explanation:

It is very simple, 3/4 * 2 = 1.5

If we take 1.5 and multiply it by the amount of batches being made (6), we will have our answer.

1.5*6 = 9, so there we have our answer.

Hope this helps!

need help asap thanks!!

Answers

I'm sure is true hopefully.

Slope:
intercept
Y=2/3x-4

Answers

Answer:

slope is 2/3, the y-intercept is -4

Step-by-step explanation:

y=mx+b

m is always the slope. b is always the y-intercept. please give brainliest!!

the number of bees in a hive has increased from 550 to 649. express the change as a percentage

Answers

Answer:

649-550= 99

99÷649×100= 15.25%

what is l the value of x in the equation 4-[6+2(x - 4)] = 4x - 2(x+3)​

Answers

Answer attached below!

Hernando ate 2/8 of a pizza for a dinner. he gave his 6 friends the rest of the pizza, and told them to share equally. To determine the fraction of the whole pizza that each of his friends received, Hernando performed the calculations below.
6/8 divided by 6= (6 divided by 6)/8= 1/8
he concluded that each person received 1/8 of the whole pizza. Are Hernando's calculations correct?

O yes they are correct. Hernando divided 6 by 6
O yes they are correct. Hernando divided 2/8 by 6
O No they are not correct. Hernando should have multiplied by 6, not divided by 6
O No, they are not correct. Hernando should have divided 8 by 6, not 6 by 6.

Answers

Answer: yes correct . hernando 6 by 6

Step-by-step explanation:

Answer:

yes they are correct. Hernando divided 6 by 6

Step-by-step explanation:

Hernando ate 2/8 of a pizza for a dinner.

he gave his 6 friends the rest of the pizza, and told them to share equally.

Rest pizza portion=1-2/8

=6/8

6/8 pizza divided into 6 person

6/8÷6

1/8

So 1/8 portion get each person

So the option a is correct

yes they are correct. Hernando divided 6 by 6

3y−3x=21 Put the following equation of a line into slope-intercept form, simplifying all fractions.

Answers

Answer:

y = x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c )

Given

3y - 3x = 21 ( add 3x to both sides )

3y = 3x + 21 ( divide all terms by 3 )

y = x + 7 ← in slope- intercept form

3
√-512
simplfy form

Answers

Answer: 22.6

Step-by-step explanation:

Step 1: List Factors. List the factors of 512 like so:

Step 2: Find Perfect Squares. Identify the perfect squares* from the list of factors above:

Step 3: Divide. ...

512 / 256 = 2.

Step 4: Calculate.

Step 5: Get Answer. ...

512½ = 16 x 2½

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