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

A researcher is 95% confident that the interval from 2.9 minutes to 6.83 minutes captures u = the true mean amount
of time mice take to complete a maze for a piece of cheese.
Is it plausible that the true mean number of times for all mice to complete this maze may be less than 7 minutes?
No, this is not plausible for the population mean because 7 minutes is within the 95% confidence interval.
O No, this is not plausible for the population mean because 7 minutes is not within the 95% confidence interval.
Yes, this is plausible for the population mean because 7 minutes is not within the 95% confidence interval.
O Yes, this is plausible for the population mean because the upper boundary of the 95% confidence interval is below
7 minutes

Answers

Answer:

Answer is d.

Step-by-step explanation:

edg 2020

PLEASE HELP :P
What is the slope of this graph?
−14
−4
4
14

Answers

Answer:

-4

Step-by-step explanation:

You want to order a pizza for dinner. The pizza shop has a deal where you can buy a three-topping pizza for 11.99. If the pizza shop has 30 different toppings that you can put on your pizza, how many different pizzas could you get for 11.99?

A.4060


B.8120


C.24360


D.12180

Answers

Answer: A. 4060 Explanation (30 & 3)= (30*29*28)/(3*2*1)= 24,360/6= 4060

A scale drawing of a rectangle park measures 6 inches long and 2 inches wide. If the scale used for the 3 inches equals 7 yards, what is the actual length of the park?

Answers

I’m so sorry for this

Tina has two rectangular playpens to keep her new pet dogs. The first rectangle has a width of 6 feet and a length of x - 4 feet. The second rectangle has a width of 8 feet and a length of x + 2 feet. What is the sum of the two perimeters?

Answers

Answer:

4x+24 ft.

Step-by-step explanation:

Perimeter of first rectangular playpen mentioned: 2(6+x-4), which can be simplified to 2(x+2) = 2x + 4.

Perimeter of second playpen mentioned: 2(8+x+2), which can be simplified to 2(x+10) = 2x+20.

Add these two together: 2x+4 + 2x+20 = 4x+24. Don't forget to add units: 4x+24 ft.

Find the measure of each missing angle.

Answers

Answer:

<1=63°

<2=49°

<3=87°

<4=44°

Step-by-step explanation:

<1=180-68-49=63°

<2=49°

<3=180-93=87°

<4=180-49-87=44°

This table represents the number of ounces, u, a kitten grows after w, weeks. When graphed, all of the points in the table lie on the same line. What is the slope and y-intercept of the line? slope=−23, y-intercept=−0.2 slope=32, y-intercept = 3 slope=23, y-intercept=−0.2 slope=−32, y-intercept = 3

Answers

Using the slope and intercept formula, the slope and y - intercept values of the graphed data are 3/2 and 3 respectively

Given the data :

Weeks, w ___ Weight in ounces, u

0 __________ 3

3 _________ 7.5

6 __________12

9 _________16.5

The y - intercept :

This is the value of y when the value of x = 0

From the table given, the initial weight of the kitten (weight at week 0) = 3 ounces

Hence, the intercept is 3 ounces.

2.)

The slope :

Slope = Rise / Run

Rise = y2 - y1 = (16.5 - 3) = 13.5

Run = x2 - x1 = 9 - 0 = 9

Slope = 13.5 / 9 = 1.5

Therefore, the slope is 1.5

Learn more : https://brainly.com/question/15712200

Which statement correctly describes the relationship between △JKL and △J′K′L′?


△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a reflection across the x-axis, which is a rigid motion.

△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a rotation of 90° counterclockwise about the origin, which is a rigid motion.

△JKL is congruent to △J′K′L′ because you can map △JKL to △J′K′L′ using a translation 5 units up, which is a rigid motion.

△JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.

Answers

Answer:

The is answer is the last one.

Step-by-step explanation:

I just took the test

The correct statement is

△JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Translation, rotation, reflection, and dilation are the four primary categories of transformation.

According to the given graph we have noticed that there is reflection over x- axis.

And, also there is no shifting of units.

So, there is only the reflection over x- axis.

But, there is no option about reflection.

Hence, △JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.

Learn more about transformation here:

brainly.com/question/11709244

#SPJ2

what is the vertex of h(x)=3x^2+6x-2?

Answers

its -1  and  -5

thank u for letting me helps u 

what is the equation of the line that passes through the point (-3, 4) and has a slope of 1/3? ​

Answers

Answer:

Y=1/3x+5

Step-by-step explanation:

I hope it help you

Plz help me. If you cant give me answer than at least plz explain to me how to do this so i can get a better understanding of this...thx

Answers

Answer:

y = mx + b    

Step-by-step explanation:

Substitute in the slope intercept formula

m = slope  

x = first number in the point

y = second number in the point  

and solve for b

Question 1

m=-1/2, x= -4  y=-2  substitute

-4 = -1/2(-4) + b

-4 = 2 + b

-4 -2 = 2 -2 + b

-6 = b

y=-1/2x -6

HELP WILL MARK DOWN BRAINLIEST
ASAP

Answers

Answer:

2nd question 3rd one down

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

DEDE plsssss send me tae cht i make a new acc

Step-by-step explanation:

Which type of activity does Jeff do at a speed of 4.5 point, 5 miles per hour?

Answers

Answer:

Swimming

Step-by-step explanation:

The type of activity that Jeff does at a speed of 4.5 miles per hour is Swimming

If this was helpful, please mark brainliest. Have a beautiful day.

based only on the given information, it is guaranteed that ac is congruent to bc. true or false?

Answers

True. SAS or ASA. It shows that AD and BD are congruent and the triangles also share two sides and two angles.

Answer:

True. SAS or ASA. It shows that AD and BD are congruent and the triangles also share two sides and two angles.

Step-by-step explanation:

can someone help me with my test i have too write out the whole entire process & simplify them -
1st -3(2x-5)
2nd - 5+3x-8y+2x+9y-12

Answers

Answer:

1st -6x + 15

2nd 5x + y - 17

Simplified = -x + y -2

Step-by-step explanation:

Just add like terms if that's what it's asking.

Mario walked at a rate of 5/6 miles every 10 minutes what is his unit rate every mile per hour

Answers

Answer:

Mario's unit rate is 5/1

Step-by-step explanation:

We know that Mario walks 5/6 miles per 10 minutes.

We need to find out how many miles Mario walks in 60 minutes (1 hour).

10 * 6 = 60. Which means that we must multiply 5/6 by 6.

[tex]\frac{5}{6} *\frac{6}{1} = \frac{30}6[/tex]

30/6 = 5

Mario walks 5 miles per hour.

To put this in to a unit rate we must put this is a fraction:

[tex]\frac{Miles}{Hour}[/tex]

Substitute:

5/1

Answer:

Mario's unit rate is given by 900 miles/hour

Step-by-step explanation:

We have been given that Mario walked at a rate of 2/3 miles every 10 minutes

We have the relation between speed, time and distance, which is given by

speed = distance/Time

we have,

distance = 2/3 miles

Time = 10 minutes

On substituting these values in above formula, we got

speed 2/3 /10

speed 2/10.3

We have to find the unit rate in mile per hour, so we need to multiply it by 60

Thus, unit rate is given by

1/15 X 60

= 4 miles/hour

true or false dilation of a triangle are congruent to the original triangle

Answers

Answer:

True

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

ITS TRUE hope this helps

write an equation of a line (-4,-1) and is perpendicular to the line y=4/3x+6
y =

Answers

Answer:

y= -3/4x-2

Step-by-step explanation:

- perpendicular: opposite signs and reciprocal

m= -3/4

point-slope form: y-y1=m(x-x1)

y-(-1)= -3/4(x-(-4))

y+1= -3/4(x+4)

y+1= -3/4x -3

y= -3/4x-2

In which quadrant of the coordinate graph does point J lie?

Answers

Answer:

Quadrant 1

Step-by-step explanation:

Hope this helped, Have a Great Day!!

which table shows y as Directly propertional to x

Answers

Where is the table?

Parallel or perpendicular 3x+5y=10 and 5x-3y=-6

Answers

3x+5y=10 and 5x-3y=-6 is perpendicular.

HELPPPPPPPPPPPPPPPPPP

Answers

Answer:

i think its b

Step-by-step explanation:

i think its b

ejjdkdodid

Write the equation of the line that passes through the given points. (-2,2.5) and (0,-4.5)

Answers

Answer: y = -3.5x - 4.5

suppose: the equation of the line is y = ax + b ( a ≠ 0 )

because the line passes through (-2;2.5) => 2.5 = -2a + b

the line passes though (0;-4.5) => -4.5 = b

=> b = -4.5

   2.5 = -2a + b

=> a = -3.5

    b = -4.5

=> the equation of the line is y = -3.5x - 4.5

Step-by-step explanation:

The equation Of the line is y =-3.5x-4.5

Determine whether line AB and line CD are parallel, perpendicular, or neither.

A(-6,-9), b8,19), C(0,-4), D(2,0)
please and thank you

Answers

Answer:

line AB is parallel to line CD

Step-by-step explanation:

Because they have the same gradient which is 2

Which statements must be true regarding the two triangles? Check all that apply. M M" O LMN - L"M"N" O LMN 2 L"M"N"

The coordinates of vertex L" are (-3, 1.5). The coordinates of vertex N" are (3,-1.5). The coordinates of vertex M" are (1.5, -1.5).​

Answers

Answer: The 1st, 2nd, and 5th one

Step-by-step explanation:

just did it

Answer:

A-

∠M ≅ ∠M''

B- △LMN ~ △L''M''N''

E- The coordinates of vertex N'' are (3, -1.5).

Explanation:

edge 2022

what is the slope of the line with the equation y-3= -1/2(x-2)?
a. -2
b.-1/2
c.1/2
d.2

Answers

Answer: m = -1/2

Step-by-step explanation:y=mx + b to find slope m m =

Jack and Jill are going up the hill to pull weeds. Jack can pull all of the weeds by himself in 8 hours; if Jill helps him they can pull the same amount of weeds in 5 hours. How long would it take Jill to pull the weeds working alone?

Answers

Answer:

it would take jill 12 hours

Answer:

13.3 hours

Step-by-step explanation:

5/8 +5/b = 1

8b(5/8+5/b=1)

5b+40=8b

40=3b

40/3=b

40/3=13.3 hours

What is the value of x in the equation Negative StartFraction 6 over 7 EndFraction = Negative StartFraction x over 84 EndFraction?

Answers

Answer:

c =72

Step-by-step explanation:

Answer:

C: 72

Step-by-step explanation:

I took the test on edge

-5(3-r)=30
Please help!

Answers

The answer to -5(3-r)=30

ara scoops flour into a mixing bowl. Each scoop contains 34
cup of flour. Clara puts 5 scoops of flour into the mixing bowl, then transfers 13
of the flour into a small bowl. How many cups of flour are in the small bowl?

Answers

Answer:

1 1/4 cups

Step-by-step explanation:

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