are real numbers closed under cube root?

Answers

Answer 1

Answer:

Real numbers are not closed under cube root

Step-by-step explanation:

The cube of each real number is increasing as the real numbers increases, giving a functional or one to one relationship. Therefore, the cube roots of real number have also a one to one relationship.

Given that a cube root of a number, ∛x = y therefore, y³ = x, we have that all real numbers, excluding zero, have one cube root, and two complex and conjugate roots

For the real number, 8, we have the cube roots given as follows;

∛8 = 2

Also, ∛8 = -1 + √3i and -1 - √3i

Given that not all cube roots of 8 are real numbers we have that real numbers are not closed under cube root.


Related Questions

Can someone please help me with this ty!!

Answers

Answer:

1 y=5+5

2 y=16+16

Step-by-step explanation:

It is roughly 8100 miles to fly from California to Australia. If it takes the airplane 15 hours to reach its destination of Australia, what was the average speed of the airplane in feet per hour?

Answers

Answer:

540 miles an hour or 2,851,200 Feet an hour

Step-by-step explanation:

Solve for x:
2(3x + 4) + 2 = 4 + 3x

Answers

Answer:

-2

Step-by-step explanation:

Distribute

2

(

3

+

4

)

+

2

=

4

+

3

{\color{#c92786}{2(3x+4)}}+2=4+3x

2(3x+4)+2=4+3x

6

+

8

+

2

=

4

+

3

{\color{#c92786}{6x+8}}+2=4+3x

6x+8+2=4+3x

2

Add the numbers

6

+

8

+

2

=

4

+

3

6x+{\color{#c92786}{8}}+{\color{#c92786}{2}}=4+3x

6x+8+2=4+3x

6

+

1

0

=

4

+

3

6x+{\color{#c92786}{10}}=4+3x

6x+10=4+3x

3

Rearrange terms

6

+

1

0

=

4

+

3

6x+10={\color{#c92786}{4+3x}}

6x+10=4+3x

6

+

1

0

=

3

+

4

6x+10={\color{#c92786}{3x+4}}

6x+10=3x+4

4

Subtract  

1

0

10

10

from both sides of the equation

6

+

1

0

=

3

+

4

6x+10=3x+4

6x+10=3x+4

6

+

1

0

1

0

=

3

+

4

1

0

6x+10{\color{#c92786}{-10}}=3x+4{\color{#c92786}{-10}}

6x+10−10=3x+4−10

5

Simplify

Subtract the numbers

Subtract the numbers

6

=

3

6

6x=3x-6

6x=3x−6

6

Subtract  

3

3x

3x

from both sides of the equation

6

=

3

6

6x=3x-6

6x=3x−6

6

3

=

3

6

3

6x{\color{#c92786}{-3x}}=3x-6{\color{#c92786}{-3x}}

6x−3x=3x−6−3x

7

Simplify

Combine like terms

Combine like terms

3

=

6

3x=-6

3x=−6

8

Divide both sides of the equation by the same term

3

=

6

3x=-6

3x=−6

3

3

=

6

3

\frac{3x}{{\color{#c92786}{3}}}=\frac{-6}{{\color{#c92786}{3}}}

33x​=3−6​

9

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

2

Answer:

-2

Plz mark as brainliest! Hope this helps!

Step-by-step explanation:

Please look at the files I have added!

2-5/6x=-5

what is x
pls show me how to solve it

Answers

x=8.4 work is in the picture box.

I really need I don’t get it at all, and it’s a quiz please help!

Answers

Answer:

A and C are correct

Answer:

The slope is negative and it is also proportional (A and C)

Step-by-step explanation:

I used process of elimination.

If you look at the graph you will realize that x is positive and y is negative. Most times this will mean that the slope is negative, since positive and negative = a negative.

You can also tell that the y-intercept is not -3 because the line never intersects at -3 for the y line.

The relationship is proportional it goes through the origin and is also a straight line.

However, for the -6 slope, I can't really see the graph well, so I can't tell what the coordinate points are. If you can tell me, I can edit my answer and help.

is w =15z direct variation

Answers

Answer:

yes

Step-by-step explanation:

hola tengo una pregunta​

Answers

Answer:

That is wonderful. I love you!

help me guys to find answer​

Answers

Answer:

Misrial Effort  (to) made the pond clean.

The Villagers (to) Were Deprived of education

The pond looked (to) like a green lake of the himalayas

The children of Kishanpur (to) Realized their mistake

A noble Work (to) deserves respect

For Kishanpur people Mishrilal  was (to) regarded a true leader

Step-by-step explanation:

help with a easy thing

Answers

Answer:

3

Step-by-step explanation:

-2=-2x+4

-6=-2x

3=x

Answer:

3

Step-by-step explanation:

Im 90 percent sure the answer is three

what inverse operations are used to solve the equation 2x+2=10

Answers

It goes 10 divided by 2 and then 2 divided by 2 to cancel out 2 so now it’s 2x = 5 the answer to your question is multiplication

You roll an eight-sided die. What is the chance that it will land on either a 2 or a 5? Write your answer as a fraction.​

Answers

Answer:

2/8 and the simplified version is 1/4

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

First you know that it is a eight- sided die. 2 or 5 are two numbers so it is 2/8.  

you put all of the numbers and count them up on the top as numerators ex: 2/   Then the number of the sided die as the denominator.ex: 2/8 Hope this helped.

Helpppp plzzzzz :/ :(

Answers

Answer:

Step-by-step explanation:

For this you will start at negative 3 then go up 5 spaces and to the right 4 times. Once you run out of space in one direction go in the opposite doing the opposite steps. Going down 5 times and to the left 4 times. If you need any more help with these, I'll be glad to help as I am learning these in class right now. The way to determine which way your going is on the slope. The slope in those equations is the number before x. The coefficient. When the numerator(y axis) is positive, that means you go up on the graph by the number shown. If its a negative go down. If the denominator (x-axis) is a positive that means you go to the right by the number shown. If it's a negative you go to the right. The number all the way on the right, in this case the -3, that is the y intercept.

A construction company is setting up signs on a 6 3/4 mile stretch of road. If the company places a sign every 3/4 of a mile, how many signs will it need?
Note: the company will place a Sign at the beginning of the stretch,
then every 3/4 of a mile.

Answers

Answer:

10

Step-by-step explanation:

6 3/4 ÷ 3/4 = 9, and plus the sign at the start of the road it would be 10

hope this helps :)

Write an equation in point slope form of the line passes through the point (3,5) and has a slope of m=-1

Answers

Answer:

The answer is y= -1x+8

Step-by-step explanation:

y=mx+b

m= -1

y-y=m(x-x1)

y-5=-1(x-3)

y-5=-1x+3

+5 +5

y=-1x+8

The equation in point slope form of the line passes through the point (3,5) and has a slope of m=-1 is y= -1x+8.

Point Slope Form:
The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables. Depending on the facts at hand, there are different ways to find a line's equation. A straight line is represented using its slope and a point on the line using point slope form. This means that the point slope form is used to find the equation of a line whose slope is "m" and which passes through the points (x 1, y 1). The equation of a straight line can be expressed in various ways.

Point Slope Formula in Math:

y − y1= m (x − x1)

where,

(x, y) is a random point on the line(which should be kept as variables while applying the formula).

(x1, y1) is a fixed point on the line.

m is the slope of the line.

y=mx+c

m= -1

y-y1=m(x-x1)

y-5=-1(x-3)

y-5=-1x+3

  y= -1x+8

Learn more about the Point Slope Form here:

https://brainly.com/question/24907633
#SPJ2

i need help pls help me what is the answer to -2(8)

Answers

Answer:

-16

Step-by-step explanation:

hope this helps love <3

A line passes through (2, −1) with slope 3. What is the equation of the line in slope-intercept form? A. y=3x+5 B. y=3x−7 C. y=13x+5 D. y=−13x

Answers

Answer:

B

Step-by-step explanation:

y=3x+a

3*2+a=-1

a=-7

In a certain town there were 400 robberies last year. This year the number of robberies has gone down 27%. How many robberies were there this year, to the nearest whole number?

Answers

Answer: There have been 292 robberies this year, I hope this answers your question:)

What is the simplified expression for the expression below
4(3x-2)+ 6x(2-1)

Answers

Answer:

18x - 8

Step-by-step explanation:

First, distribute the 4 to the first set of parentheses:

4(3x - 2) + 6x(2 - 1)

12x - 8 + 6x(2 - 1)

Then, simplify the second set of parentheses:

12x - 8 + 6x(1)

Simplify and add like terms:

12x - 8 + 6x

18x - 8 is the simplified expression

Answer:

B 18x – 8

Step-by-step explanation:

bc im right

ABCD~FECG similar polygons​

Answers

Answer:

120

Step-by-step explanation:

Can someone explain this problem 71.8 ÷ ¾

Answers

Answer:

95.733333

Step-by-step explanation:

IDK if this is right

The price of a dress was reduce from $20 to $12. By what percentage was the price of the dress reduced?

Answers

Answer:

40%

Step-by-step explanation:

12$ out of the original 20$ = 12/20

12/20 = .6 (60%)

1=100%

if 12/20 = 60% then 100% - 60% = 40%

$20-40% is $12

hope this helps  somehow

g(x) = -x2 + 2x - 9



g(-4)

Answers

Substitute the -4 to the x’s.

g(-4) = -(-4)^2 + 2(-4) - 9

g(-4) = -16 - 8 - 9

g(-4) = -33

Answer:

-33

Step-by-step explanation:

g(x) = [tex]- x^{2} + 2x - 9\\[/tex]

g(-4) = [tex]- ( -4)^{2} + 2 * (-4) - 9[/tex]

       =  - 16 - 8 - 9 = - 33

9. FLUENCY: ONLY USE A CALCULATOR TO CHECK!
1500 + (6 + 4*) 37
Your answer

Answers

Answer:

1870

Step-by-step explanation:

1500 + (6 + 4) * 37

= 1500 + 10 * 37

= 1500 + 370

= 1870

Answer:

1870

Step-by-step explanation:

1500+(6+4)37

=1500+10*37

=1500+370

=1870

Here please do this. 25 pts

Answers

Answer:

the correct answer is A

.
HELPPP
The equation of the line in slope Intercept form is

Answers

Answer:

y = 60x + 40

Step-by-step explanation:

It is in the form of

y = mx + b

m is the slope

b is the y intercept.

The y intercept is 40, so it will be y = mx + 40.

The slope is 60, so y = 60x + 40!

Help is needed plssss

Answers

X= -4, -6. i’m not really sure what the question is asking
x=-4-6 thats the answers

Please no fake answers!

Answers

Answer:

X=1.899

I think

Step-by-step explanation:

2X+4.899=X+3

X=1.899

Answer:

x=3

Step-by-step explanation:

:)

Find the slope and y-intercept of the following equation (Encuentra la pendiente y la
intersección con el eje y de la siguiente seuación)
(2 Points)
y = - 3r +9
slope = -3; y-intercept = 9
slope = 9; y - intercept - 3
slope = 3; y - intercept = 3
slope = 9; y - Intercept =
- 27

Answers

Answer:

slope is -3 and y intercept is 9

Step-by-step explanation:

use y = mr + b where m is the slope and m is the y intercept

a line has the equation 3x-2y=6, any line parallel to this line has slope (?)

Answers

Answer:

Slope is 3/2

Step-by-step explanation:

3x-2y=6

-2y=-3x+6

y=3/2-3

right triangle ABC is similar to right triangle XYZ. the value of cos B = 5/13. What is the value of sin Y?

Answers

Answer:

4

Step-by-step explanation:

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