Mathematics College

Determine if the following argument always applies, sometimes applies, or never applies. Provide at least 2 examples in your explanation.

"The sum of a number and its opposite is always 1."

Answers

Answer 1

Answer:

Never applies

Step-by-step explanation:

Given

Argument: The sum of a number and its opposite is always 1

Assume a positive number x

The opposite of the number is negative x (i.e. -x)

The sum of both numbers is:

[tex]Sum = x + (-x)[/tex]

Open Bracket

[tex]Sum = x -x[/tex]

[tex]Sum = 0[/tex]

Now, take for instance.

[tex]Number = 5[/tex]

Opposite would be

[tex]Opposite = -5[/tex]

Their sum is:

[tex]Sum = 5 + (-5)[/tex]

[tex]Sum = 5 -5[/tex]

[tex]Sum = 0[/tex]

Another instance is:

[tex]Number = -8[/tex]

Opposite would be

[tex]Opposite = 8[/tex]

Their sum is;

[tex]Sum = -8 + 8[/tex]

[tex]Sum = -0[/tex]

Hence, the argument never applies because the sum is never 1

Related Questions

Solve the following​

Answers

Answer:

Q1

|a-b| = b-a when a<b

Q2

104159/33000

Step-by-step explanation:

Q1

If a<b then a-b will always be negative.  To get the absolute value, we can take -(a-b) = -a+b = b-a.

Q2

Let x = 3.12789789789...

We isolate the repeating decimal to start after the decimal, so we multiply by 100.

100x = 312.789789789...

We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.

100000x = 312789.789789

Subtracting the two...

x(100000-100) = 312789.789789 - 312.789789

99900x = 312477

x = 312477/99000 = 104159/33000

select all equations that are equivalent to 5x+(x+6)+3x

Answers

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What fraction is larger 3/8 or 10/24?

Answers

Answer:

10/24

Step-by-step explanation:

hope this helps :)

Answer:

5/8

Step-by-step explanation:

Have a good day! :)

Juan got grades of 68 and 73 on his first two math tests. What grade must he get on the third test if all were weighted equally and he wants to raise his grade to a 75 average?

Answers

Answer: 84

Step-by-step explanation: Multiply 75 by 3. That is 225, and is the value the three numbers must add up to. 73+68=141. 225-141 is 84.

True of False:the following polynomial is written in standard form
2x^4-x^3+5x^2+x-7

Answers

The following polynomial is not written in standard form so it is false

Eighteen cups are equally packed into 6 boxes. Two boxes of cups break. How many cups are unbroken?

Answers

Answer:12

Step-by-step explanation:

18/6=3 cups in each box

3*2=6 cups broke=2 boxes

18-6=12 cups are unbroken

You start at (0, 8). You move up 1 unit and right 3 units. Where do you end?

Answers

Answer:

1.11

Step-by-step explanation:

you will end up at (3,9)

22. Find the slope and Y intercept of the line 3x+4y-9=0​

Answers

hi there! here's my answer for you...

Answer:

slope:

m = -3/4

y-intercept:

y = −3x/4 + 9/4

hope this helped. have a good one!

simplify (3x+2) (y-2) - (7y+3) (y-3)

Answers

Answer:

3 x y − 7 y 2 − 6 x + 20 y + 5

Step-by-step explanation:

Which expressions correctly show "the sum of the product of 3 and 8 and the product of 12 and 2"? Select two that are correct. *

3 + 8 + 12 + 2
(12 × 2) + (3 × 8)
3 × 8 × 12 × 2
(3 + 8) × (12 + 2)
(3 × 8) + (12 × 2)

Answers

Answer:

The two correct expressions are:

(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)

Step-by-step explanation:

Let 'a' and 'b' be the two numbers.

When we say the product of 'a' and 'b', it

algebraically means: a × b

Let 'c' and 'd' be the two numbers.

When we say the product of 'c' and 'd', it

algebraically means: c × d

And when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:

(a × b) + (c × d)

or

(c × d) + (a × b)

as

(a × b) + (c × d) = (c × d) + (a × b)

So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".

It algebraically means:

(12 × 2) + (3 × 8)

or

(3 × 8) + (12 × 2)

as

(12 × 2) + (3 × 8) = 24 + 24      ∵ 12 × 2 = 24, 3 × 8 = 24

                           = 48

(3 × 8) + (12 × 2) = 24 + 24      ∵  3 × 8 = 24, 12 × 2 = 24,

                          = 48

Therefore, the two correct expressions are:

(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)


5
Subtract 27 from 43
14
21

Answers

Answer:

-0.4522

Step-by-step explanation:

-4x+6y=-7
-13x-2y=-4
Elimination or substitution

Answers

Answer:

substitution

Step-by-step explanation:

please help with this question

Answers

Answer:

Rotation

Step-by-step explanation:

Rotation around the origin I believe


Find 2 consecutive positive odd integers such that 4 times the larger is 29 more
than three times the smaller?

Answers

Answer:

21 and 23

Step-by-step explanation:

Two integers are:

x  and x + 2

The equation and solution:

4(x + 2) = 3x + 294x + 8 = 3x + 294x - 3x = 29 - 8x = 21

And

x + 2 = 23

Which fraction is equivalent to 2/3 explain

Answers

Answer:

4/6, 8/12, 20/30

Step-by-step explanation:

They are equivalent to 2/3, because they can all be simplified to 2/3.

For example, 2 x 2 = 4 and 2 x 3 = 6; this gives me 4/6. I multiplied 2/3 by 2/2.

SO it can also be 2/3 = 4/6= 6/9 = 8/12 = 10/15 = 12/15 = 15/18 = 18/21 = 21/24 etc.

~hope it's right

4/6 is equivalent to 2/3
If you times both numbers by 2 you get the answer
2/3
x/x
2/2
——-
4/6

If 1 inch represents 10 miles on a map then how many inches will represent 120 miles ?

Answers

Answer:

12 inches

Step-by-step explanation:

We can write this as a proportion:

inches/miles = inches/miles

1/10 = x/120

Solving for x, we get 12 inches.

what is y=(-2/3)x+400 as a function?

Answers

Answer:

y= −2x/3 + 400

Step-by-step explanation:

Hope this helps :)

Answer: what the other dude said

Step-by-step explanation:

Darren’s account was overdrawn by $150, before he deposited $480.

Answers

Is there more to the question..??
If the question is along the lines of how much money is in his account now then it would be 480+(-150)=$330

Please help it’s due

Answers

4 = 130

2 = 50

1 = 90

3 = 40

:)

Slope for (20,8)(9,16)?

Answers

Answer:

m=-8/11

Step-by-step explanation:

[tex]\frac{Y2-Y1}{X2-X1} =\frac{y}{x}[/tex]

[tex]\frac{16-8}{9-20} =\frac{-8}{11}[/tex]

A theater sold 1,802 tickets for
their Saturday evening
performance. This was 635 more
than the number of tickets sold
for the matinee performance. If
tickets cost $75 each, find the
total ticket sales for two
performances.

Answers

Answer:

the answer would be 2,969 also i think the cost of tickets is pretty useless

Step-by-step explanation:

Answer:2,969

Step-by-step explanation:

Martin spent $68 on a new drone that he had been saving for. Now, he has $41 left in his savings jar. Click the equation that could be used to find the total of his savings, s, before he bought the drone.

Answers

Answer:

Step-by-step explanation:

109

The answer is 109 (Brainliest Answer Will be appreciated:D)

PLEASSSEEE HELPPP ASAPPPPP

Answers

Answer:

first one is 32

the second one is 53

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let RS = x , then PS = x²

2x² + 2x = 84

x² + x - 42 = 0

(x + 7)(x - 6) = 0

x = 6

PQ and RS are 6

QR and SP are 36

Which of the following equations demonstrates the Identity Property of One? A. 3 - 2 = 1 B. 4 • 1 = 14 C. 1 • b = b D. 0 + 1 = 1

Answers

Answer: C

The identity property of 1 is that any number multiplied but it remains the same.

Hence

1 x b = b

Please find measure of angle s. PLEASE HELP FAST!!

Answers

Answer:

27

Step-by-step explanation:

15x-31 = 9x+11

6x-31 = 11

6x = 42

x = 7

15x -31 + 9x + 11 + s = 180

15(7) -31 + 9(7) + 11  + s = 180

105 - 31 + 63 + 11 + s = 180

153 + s = 180

s = 27

What is the slope m in the equation y = -2x + 5

Answers

Answer:

m = -2

General Formulas and Concepts:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define function

y = -2x + 5

Step 2: Break function

Slope m = -2

y-intercept (0, 5)

Please help! I need your help! If you help you get points. If you get points your smart.

Answers

D: She needs to keep going to find more digits.

Colin and Brian were playing darts. Colin scored 91. Brian scored 9 more than Colin. What was their combined score?

Answers

Answer:
The combined score was 191
Explanation:
91 (Colin’s score) + 9 (how many more Brian had than Colin) = 100 (Brian’s score)
91 (Colin’s score) + 100 (Brian’s score) = 191 (combined score)

Consider the limaçon with equation r = 3 + 4cos(θ). How does the quotient of a and b relate to the existence of an inner loop?

Answers

A polar graph that is a limacon has a formula similar to [tex]r=a+bcos\theta[/tex]

Option B is correct.

A  limacon has a formula similar to [tex]r=a+bcos\theta[/tex]

Case 1 .  If  a < b  or  [tex]\frac{b}{a}>1[/tex]

Then the curve is limacon with an inner loop.

Case 2.  If  a>b   or   [tex]\frac{b}{a}<1[/tex]

Then the limacon does not have an inner loop.

Here, given that,  [tex]r=3+4cos\theta[/tex]

It is observed that,  a < b  or [tex]\frac{b}{a}>1[/tex]

Therefore, the curve is limacon with an inner loop.

Hence, option B is correct.

Learn more:

https://brainly.com/question/10381605

What is 0.06% written as a decimal?

Answers

Answer:

0.0006

Step-by-step explanation:

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