Explain how you can use absolute value to tell whether
the sum of two integers is positive or negative.

Answers

Answer 1

Answer:

Let the integers are p and q.

In case both integers are positive or negative, you add the numbers up and apply their sign to the sum.

Examples:

10 + 88 = 98-20 + (-15) = -35

In case one of the integers is negative and one positive.

p < 0, q > 0

Use absolute value in this case.

Subtract the numbers and apply the sign of the number with the greater absolute value.

Examples:

- 10 + 15 = |15 - 10| = |5| = 5- 15 + 10 = - |15 - 10| = - |5| = -5
Answer 2

Step-by-step explanation:

Let the numbers be x and y

If both are of same signs then

|x + y| = x + y

-|x + y| = -(x + y) = -x - y

If one is negative and one is positive

-|x + (-y)| = -|x - y| = -x + y

-|y + (-x)| = -|y - x| = -y + x


Related Questions

Plz help me answer this question

Answers

Answer:

I think it's the top left one

Step-by-step explanation:

The length is 6, the width is 3, and the height is 4, which matches the expression.

Step-by-step explanation:

[tex](6 \times 3 + 3 \times 4 + 4 \times 6) \\ = (18 + 12 + 24) \\ = 54[/tex]

Rick had 6 meters 63 centimeters of wire in his toolshed. He bought 2 meters 24 centimeters more wire and put this in his shed. The next day, he used 344 centimeters of wire. How much wire does Rick have left in the toolshed?

Answers

Answer:

543 centimeters or 5 meters 43 centimeters

Step-by-step explanation:

663+224=887

887-344=543

The regular price of a pair of
jeans is $45. If there is a 30%
discount, how much do the
jeans cost after the discount?

Answers

Answer:

$31.50

Step-by-step explanation:

3 Factorise 5y - 6py​

Answers

Step-by-step explanation:

5y-6py

y(5-6p)

Answer

hope it helps

Answer:

5y - 6py

y(5-6p)

is the answer

Visualize 4.385 on a number line using magnification.

Answers

Answer:

Um srry I am a hack I like this app Haha I hadked this girls brainy hehehe

Use the distributive property to write an equivalent expression.
8(3v+3w-2)

Answers

24v+24w-16
I multiplied all the numbers inside the parenthesis to 8, so (8 x 3w),(8 x 3v),(8 x -2). Basically Distrbutive property is you distribute the 8 into the numbers inside the parenthesis and by distribute you just multiply. Lemme know if this is the answer you were looking for!

Answer:

8(3v+3w-2)=(8×3v+8×3w-8×2)

Step-by-step explanation:

8×3v=24v.

8×3w=24w. [24v+24w-16]=(8×3v+8×3w-2×8)

8×(-2)=-16.

A new cars salesperson, sold an average of $59,699 per day for the first 4 days she worked. The next 11 days she worked, she sold an average of $49,221. How much did she sell on average per day over the entire time she worked??

Answers

Answer:

5,000

Step-by-step explanation:

Solve using a weighted average like so:

{ (6 days)($34,000) + (4 days)($45,000) }/(6 days + 4 days) = $38,400

It doesn't appear as if the correct answer is listed in the choices? You can tell from the information given that the answer must be between $34,000 & $45,000!

a mans age today is four years less than five times the age of his oldest son. let a represent the son's age. write an expression to represent the man's age.

Answers

Answer:

m = 5s - 4

Step-by-step explanation:

Man = m

Son = s

the mans age is 4 years less than 5 times his sons age

5 times his sons age is 5s

4 less than that is 5s - 4

The man's age is 5s - 4 or m = 5s - 4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

How do you translate "A number, x, multipled by one thousand. " as a variable expression​

Answers

Answer: 1000x or 1000•x

U have ur x variable and it’s being multiplied by 1000
So it’s just 1000•x or 1000x

I hope this helps :)

f(x) = x² + 3x – 4 if x = 5a

Answers

Answer:

Step-by-step explanation:

f(5a) = ([tex]5a)^{2}[/tex] + 3× 5a - 4

Why is speed not important in math ?

Answers

Because if you do a work to fast your teacher will attached new work
Speed is helpful, but it is more important to have a deep understanding on the concepts than to have a fast working ability without understanding.

Since everything in math is interconnected, the deeper your understanding of the foundational topics you learn, the more easily you’ll understand new concepts that build upon the foundations.

As a concept, speed or rates of change are a key topic in Calculus. So speed is also important that way too.

R is between Q and S. If QR = 33.4 and SQ = 80, find RS

Answers

Answer:

56.6

Step-by-step explanation:

if SQ are 80 just subtract 33.4 from 80 to get 56.6 is RS

Your bank account balance is -$20.85. You deposit the $15.50. What is your new balance?

Answers

Answer:

-5.35

Step-by-step explanation:

-20.85

+15.50

this helps with the problem

The diameter of a circle is 21 inches. Find the area of the circle. (Use 22/7 as the approximation of pi.)

Answers

Step-by-step explanation:

Area of a circle is pi times r-square

[tex]\pi \: {r}^{2} [/tex]

So...

[tex] \frac{22}{7} \times \frac{21}{2} \times \frac{21}{2} = \frac{22 \times {21}^{2} }{28} [/tex]

Do the rest yourself, my calculator and pen are not handy. Sorry

Which is the graph of f(x) = 1/4 (4)^x ?

Answers

Answer:

The only graph that is fully shown.

Step-by-step explanation:

I did the math and the points check out.

Giải phương trình x^4-2x^3+2x^2-x-6=0

Answers

Answer:

[tex]x_{1} = - 1. \: \: x_{2} = 2[/tex]

Step-by-step explanation:

attached

points....................​

Answers

Answer:

what.....................

Answer:

muchas gracias por los puntos

que tengas un buen dia

A man mixes 90 litres of milk, containing 10% of water with 60 liters of milk containing 20% of water, then the percent of water in the minture is?​

Answers

Answer:

it is 15 percent than

Step-by-step explanation:

hope i could help

PLEASE HELP!! i can’t figure this out!

Given the point A(-3,-3) and B(5,1), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio of 3:1.

Answers

Answer:

1,-1

Step-by-step explanation:

midpoint is (-3)+5÷2 ; (-3)+1÷2

=1;-1

The table below represents a function.

what could be the equation of the function?​

Answers

Answer: Choice C.  y = -1.5x

===============================================================

Explanation:

Pick any two rows from the table to form the (x,y) points. I'll pick the first two rows.

Use the slope formula to find the slope of the line through (-6,9) and (-4,6)

m = (y2-y1)/(x2-x1)

m = (6-9)/(-4-(-6))

m = (6-9)/(-4+6)

m = -3/2

m = -1.5

Of the four answer choices, only choice C has a slope of -1.5 so that must be the final answer. Note how the y intercept is b = 0 due to the point (0,0).

So y = -1.5x can be written as y = -1.5x+0; however, it's easier to go with the first option.

As a check, let's try something like x = 2

y = -1.5x

y = -1.5*2

y = -3

This verifies the second to last row of values. I'll let you check the other rows.

Which of the following fractions has the greatest value?

3/4

5/8

5/6

5/9

3/7

Answers

We can see that 420/504 is the largest value among the fractions. the fraction 5/6 has the greatest value.

To determine which fraction has the greatest value, we can compare the fractions by finding a common denominator and comparing the numerators.

Let's find a common denominator for all the fractions, which is the least common multiple (LCM) of the denominators.

The denominators are 4, 8, 6, 9, and 7.

The LCM of 4, 8, 6, 9, and 7 is 504.

Now, let's convert each fraction to have a denominator of 504:

3/4 = (3/4) * (126/126) = 378/504

5/8 = (5/8) * (63/63) = 315/504

5/6 = (5/6) * (84/84) = 420/504

5/9 = (5/9) * (56/56) = 280/504

3/7 = (3/7) * (72/72) = 216/504

Comparing the numerators, we can see that 420/504 is the largest value among the fractions.

Therefore, the fraction 5/6 has the greatest value.

for more such question on fractions visit

https://brainly.com/question/78672

#SPJ8

PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST ​

Answers

Answer:

Subtract four to get the next term.

Step-by-step explanation:

66 - 4 = 62

62 - 4 = 58

58 - 4 = 54

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer:

B

Step-by-step explanation:

Subtract 4

graph the function. f(x)=−∣∣x+2∣∣+1

Answers

Answer:

f(x)=-|x+2|+1

I've attached the graph for it

Guy above is right
Explanation:I done the assessment

Solve for x: 1/3(21-3x)=1/2(8-4x)

Answers

Answer:

x = -3

Step-by-step explanation:

[tex] \frac{1}{3} -(21 - 3x) = \frac{1}{2} (8 - 4x)[/tex]

[tex]21 - 3x = 3(4 - 2x)[/tex]

[tex]21 - 3 x = 12 - 6x[/tex]

[tex] - 3x + 6x = 12 - 21[/tex]

[tex]3x = - 9[/tex]

[tex]x = - 3[/tex]

Find the Value of X

(please don't just give me a fake answer)

Answers

(6+4)/6=(x+1 +x)/(x+1)
10/6=(2x+1)/(x+1)
10(x+1)=6(2x+1)
10x+10=12x+6
10-6=12x-10x
2x=4 /2
X=2


Which linear inequality is represented by the graph?
Oys-x-1
O yzx-1
O y<3x-1
Oy> 3x - 1

Answers

Answer:

The fourth answer choice is correct.

y>3x-1

The linear inequality that is represented here is y> 3x - 1. The last option is correct.

What is a linear inequality?

These are inequalities that shows linear functions. It is showing the data that is not equal in the graph that is presented.

We can see that the line cuts through 3 at the X axis and -1 at the y axis.

Read more on linear inequalities here:

https://brainly.com/question/17152894?referrer=searchResults

does anyone have the answers for all?

Answers

Answer and Step-by-step explanation:

1-6

a.

What you can do is plug in 6 and start by doing the first machine first, then the second. If this doesn't work, do the second machine, then the first machine.

The order that works is second machine, then first machine.

Second Machine:

y = [tex](6)^{2} -6[/tex] = 36 - 6 = 30

Plug into first machine now.

First Machine:

y = [tex]\sqrt{(30) - 5} = \sqrt{25} = 5[/tex]

We see that the result is 5.

b. If we were to do the order of second machine, then first machine, we will never get a negative result (or -5 for that matter), due to the fact that you can't algebraically square root a negative number.

However, if we were to do the order of first machine, second machine, we can get a negative number. To get -5, we plug in 6 for x in the first machine, getting an answer of 1. We plug this into the second machine, getting 1^2 - 6, which results in -5.

1-7. The absolute value of a value is the positive version of that value.

a. |54| = 54

b. [tex]-|-7\frac{3}{5}|[/tex] = [tex]-7\frac{3}{5}[/tex]

c. |3| - |-1| = 3 - 1 = 2

d. |2.2 - 5.13| = |-2.93| = 2.93

1-8.

a.

_

|  |

|  |

|  |

|  |

|  |        

|  ||  ||  ||  ||  |

(5 boxes on each side)

_

|  |

|  |

|  |

|  |

|  |          

|  ||  ||  ||  ||  ||  |

(6 boxes on each side)

b. The amount of squares on each side of the figure increases by 1.

c. There would be 1 square, because we know that the pattern is there is 2 squares added to the next figure, 1 at each end. If we go back a figure, we take away 2 squares.

1-9.

a. -42 - 17 = -59

b. 8 - (-9) = 8 + 9 = 17

c. 8(-9) = -72

d. -42 ÷ (-7) = 6

e. -2(-3)(-4) = 6(-4) = 24

f. -18 - 7 = -25

g. [tex](-5)^{2}[/tex] = 25

h. [tex]-5^{2} = -(5)^2 = -(25)[/tex] = -25

i. [tex]\sqrt{49}[/tex] = 7

1-10.  x = 2 Plug 2 in for x, then solve.

a. y = 7 - 3(2) = 7 - 6 = 1

b. y = [tex](2)^2 -1[/tex] = 4 - 1 = 3

c. y = [tex]\frac{18}{2}[/tex] = 9

#teamtrees #PAW (Plant And Water)

I hope this helps!

0 less than or equal to theta less than 2pi

sin theta= 1/2

HELP QUICK PLEASE !!!
WILL GIVE BRAINLIEST !

Answers

Answer:

theta = 4.5642792103077898247

Step-by-step explanation:

0 <= theta < 2Pi sin(theta) = 1/2

so

2Pi sin(theta) = 1/2

Pi sin(theta) = 1/4

sin(theta) = 1/(4Pi)

sin(theta)  = .0795774715459

theta = arcsin(.0795774715459) = 4.5642792103077898247

You start at (-4, -5). You move up 5 units. Where do you end?

Answers

Answer:

-4,0

Step-by-step explanation:

Moving up 5 units means moving 5 positive units in the y axis.

-5 + 5 = 0.

Therefore, you end up in (-4,0)

fb+3b=d what does d equal

Answers

Answer:

it can`t be solved unless you have an integer in place of F and B

otherwise this can`t be solved

Answer:

d=b(f+3)

Step-by-step explanation:

fb+3b=d

Swap sides so that all variable terms are on the left hand side.

d=fb+3b

hope it helps :)

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