Brendan says that the negative of - 1/3
is 3 because they are on ​opposite sides of zero when they are plotted on the number line.

​Is Brendan correct? Explain your answer.

Answers

Answer 1

Answer:

No! Brendan has totally got the wrong idea.

Step-by-step explanation:

Numbers on the right hand side of zero are said to be positive, while, the numbers on the opposite side are said to be negative.

That means Brendan's correct in saying that -1/3 lies on the opposite side of 3, since negative numbers lie on the opposite side of the positives.

But,

Negative "of" a number is the same number with opposite sign.

That is, if a number is 3 units away from the zero, it's negative will also be 3 units away from zero, but on the opposite side.

-1/3 and 3 do not lie at the same distance from zero.

-1/3 would be approached before -1 by walking in the negative direction whereas 3 would be approached after 1.

Therefore, Brendan is wrong as the negative of a number has opposite sign but same "magnitude".


Related Questions

What is the expected value of X?


X 3 4 5 7 9
P 0.2 0.1 0.25 0.05 0.4

6.2
6.05
5.95
5.6

Answers

Multiply each X by its corresponding probability P, then add up them up.

E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4

⇒   E[X] = 6.2

What is the value of |-7| - |3|

Answers

Answer:

4 is the correct answer

Step-by-step explanation:

|-7| = 7

|3| = 3

7 - 3 = 4

If f(x) = -3 and g(x) = 4x2 + x - 4, find (f+9)(x).
2
A.
X
-1
A. 4x2 + 2x-1
B. 4x2 +
-7
C. 4x2 +2x-1
7
X-1
D. 6x2 - 7

Answers

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) =

x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7

so, yes, B is the right answer.

143 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 0 and 2 is added to the product. What is the
number?

Answers

Answer:

-71

Step-by-step explanation:

let 'n' = a number

2(143 + 2n) = 0n + 2

2(143 + 2n) = 2

143 + 2n = 1

2n = -142

n = -71

Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.



3(y - 2) = 3y - 6 PLZZZZZZ HELPPP

Answers

3(y - 2) = 3y - 6

3y - 6 = 3y - 6

3y - 3y = - 6 + 6

0 = 0

It has ∞ solutions.

0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.

_____

Hope it helps ⚜

Answer:

Infinitely Many Solutions

Step-by-step explanation:

3(y - 2) = 3y - 6

3y - 6 = 3y - 6      Distribute 3.

0 = 0                    Combine the like terms.

Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.

Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.

Solve using substitution.
=
10x + 4y = -14
X = 1
-
Submit

Answers

Answer:

-6

Step-by-step explanation:

10x1 + 4y = -14

10+4y=-14

4y=-14-10

4y = -24

y = -24/4

y = -6

Q.

[tex] \frac{9}{6} + \frac{6}{9} = [/tex]

#use method
#good luck​

Answers

Answer:

The answer is 13/6

Step-by-step explanation:

9/6 + 6/9

9/6 = 3/2

6/9 = 2/3

Now,

3/2 + 2/3

Cross Multiply

3 × 3 + 2 × 2/2 × 3

9 + 4/6 = 13/6

Thus, The answer is 13/6

-TheUnknownScientist 72

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex] = \frac{9}{6} + \frac{6}{9} \\ = \frac{27 + 12}{18} \\ = \frac{39}{18} \\ = \frac{13}{6} [/tex]


please someone help me quickkkkk

Answers

Answer: B

Step-by-step explanation: this equation is written in slope intercept form, which represents: y = mx + b. m = the slope and b = the y intercept.  

The y intercept of that line 3, since that is the value of y when x equals 0. If we go from that point to the next one up. Notice how the value of x and y is changing. We go over by 1 and up by 2. That can be written as 2/-1 or 2.

HOWEVER, since the slope is going down from right to left, it has a a negative slope. Meaning the slope is a -2 not a positive 2.

Now, let's insert our values into the equation y = mx + b. That would be:

y = -2x + 3 which is B and therefore our answer

what is the equation of a line that contains points (5,3) and (0, -1)

Answers

Answer:

y = [tex]\frac{4}{5}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line

Given that D(x) = 2x, select all of the following that are true statements.
D( x) is a direct variation.
O D( x) is a function.
D( X) is a rule for the set of points (5, 10), (6, 12) and (-2,-4).
O xls the dependent variable.
D(6) = 3

Answers

It is D
You welcome

Under stand place value

Answers

Answer:

What do you need help with?

Step-by-step explanation:

I'm confused because you didn't include a question.

i need help w this pls

Answers

Answer:

see explanation

Step-by-step explanation:

TQ and TR are perpendicular bisectors , so

QO = QN = 3.75

RP = OR = 3.4

The circumcentre T is equally distant from the triangle's 3 vertices, then

PT = QT = 4.5

Simplify 3a(2a+7)-2a²

Answers

that’s is the answer to your question.
4a^2 + 21a is the answer

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

Its 27

Step-by-step explanation:

28. Since they are equal you must find a number where both equations equal the same. That number was 2 and just solved it to get 28. This isn’t the easiest way to do it but it is always my first way to go.

On a map, 1 cm represent 250 km. How many kilometres does 7 cm represent?

Answers

Answer:

1750

Step-by-step explanation:

Just multiply 250 by 7. There are 250 km in 1cm, so in 7 centimeters, there will be 7 times as much as in 1 centimeter.

please help me!

ty :)

Answers

the slope would be 5 :) have a good day

Answer:

5

Step-by-step explanation:

The distance between the points in RISE/RUN is 10/2.

10/2 = 5. Your slope is 5

Hope that helps. Brainliest is appreciated

Hello! so is this correct? is 16.093 x 10 = 5,000? or278,300? please help me if you see this. Thanks.

Answers

Answer:

160.93

Step-by-step explanation:

I'm not that great at math so forgive me if I'm wrong, but from my knowledge the answer would be 160.93 since you're multiplying 16.093 to 10.

hope this helped! :)

Trent purchases 44 euros worth is souvenirs while on vacation in France. If $1 U.S. = 0.678 euros, find the cost of souvenirs in United States dollars.

Answers

Divide 44 by 0.678 which would be 64.89 (it is a long number, but this is the shortened form)

5x - 8y = 20
what are x and y? :)

Answers

Answer:

x could be 10

y could be 5

those are some possible answers.

Answer:

x=4 and y=0

(4,0)

hope I help or maybe correct

constant of proportionly in the equation 3y = 2x

Answers

Answer:

Divide both sides by 22.

\frac{3y}{2}=x

2

3y

=x

2 Switch sides.

x=\frac{3y}{2}

x=

2

3y

what's 0.084507042 rounded

Answers

Answer:

i belive by rounding you get 1

Step-by-step explanation:

I need help with this to

Answers

Answer:

-7 , 9

1, -3

5, -9

Step-by-step explanation:

Answer:

The answer is

-7 , 9, 1, -3, 5, -9

Hope this helps;)

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

Answer:

11

Step-by-step explanation:

Givens:

AD = 8

AC = 4y - 28

y = ?

First we can see that AD and DC are equal.

-note AD and AC are not equal

But 2 times the length of AD should give you AC so.....

2 x length of AD = 16 = AC

We can use the equation:

16 = 4y - 28

Solve for y

16 + 28 = 4y

44 = 4y

y = 11

Therefore value of y is 11.

what is number of terms for 32y- 28​

Answers

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Please help, im stuck
Solve 6[9 - (9x - 8)] + 3x = 0.

A. 2
B. -5/4
C. -32/47
D. 2/15
E. None of the above

Answers

Answer: 2

Step-by-step explanation:

distribute: 6 [ 9 − 9 + 8 ] + 3 = 0

add the numbers: 6 [ 1 7 − 9 ] + 3 = 0

rearrange terms: 6 [ − 9 + 1 7 ] + 3 = 0

distribute again: − 5 4 + 1 0 2 + 3 = 0

combine like terms:  − 5 4 + 1 0 2 + 3 = 0

Subtract  102  from both sides of the equation: − 5 1 + 1 0 2 − 1 0 2 = 0 − 1 0 2

simplify:− 5 1 = − 1 0 2

Divide both sides of the equation by the same term: -51x/-51 = -102/-51

simplify: 2

i hope this helps! ^^

hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment​

Answers

36.)B

37.)C

38.)C

39.)C

40.)A

hoped that helped :)

A national survey of middle schoolers ask,”how many hours a day they spend doing their homework?which statement best represents the population?

Answers

Answer:

5 hours at least, 10 at most

Step-by-step explanation:

Hey y’all can u please give me the correct answer.

Answers

Step-by-step explanation:

-8 - 6x < 1

Bringing like terms on one side

-6x < 1 + 8

-6x < 9

x < 9/-6

x < 3/-2

I think the correct answer is none

Convert:
a) 5810 to base 2
b) 101112 to base 10
Step by step would be awesome

Answers

I suppose you mean to convert 58₁₀ to base 2, and not 5810₁₀ to base 2.

Write 58 as the sum of the largest powers of 2 that you can:

58 = 32 + 26

58 = 32 + 16 + 10

58 = 32 + 16 + 8 + 2

58 = 2⁵ + 2⁴ + 2³ + 2¹

58 = 1×2⁵ + 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰

⇒   58₁₀ = 111010₂

To convert from base 2 to base 10, write out and simplify the decimal expansion as in the last line of the previous example.

10111₂ = 1×2⁴ + 0×2³ + 1×2² + 1×2¹ + 1×2⁰

10111₂ = 16 + 0 + 4 + 2 + 1

⇒   10111₂ = 23₁₀

#a

[tex]\\ \sf\Rrightarrow (58)_{10}[/tex]

[tex]\\ \sf\Rrightarrow (2+8+16+32)_{10}[/tex]

[tex]\\ \sf\Rrightarrow (2^1+2^3+2^4+2^5)_{10}[/tex]

[tex]\\ \sf\Rrightarrow 0(2^0) 1(2^1)+0(2^2)+1(2^3)+1(2^4)+1(2^5)[/tex]

[tex]\\ \sf\Rrightarrow (111010)_2[/tex]

#b

[tex]\\ \sf\Rrightarrow (10111)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+1\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+2+4+16[/tex]

[tex]\\ \sf\Rrightarrow (23)_{10}[/tex]

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

10

Step-by-step explanation:

Equation=5*2^3/2^2

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