A number x is twice its reciprocal. What is x^6?

Answers

Answer 1

Answer:

8

Step-by-step explanation:

x = 2/x <=== It must be: x ≠ 0. Solve for x. Multiply both sides by x.

x^2 = 2.

Hence:

x = ±√2.

Both -√2 and √2 give 8 when they are raised to the power of 6.

(-√2)^6 = (√2)^6 = 8.

Answer 2

The value of the given expression [tex]x^6[/tex] is 8 and this can be determined by using the arithmetic operations.

Given :

A number x is twice its reciprocal.

The following steps can be used in order to determine the value of [tex]x^6[/tex]:

Step 1 - The arithmetic operations can be used in order to determine the value of [tex]x^6[/tex].

Step 2 - The mathematical expression of the given statement "A number x is twice its reciprocal" is:

[tex]x = \dfrac{2}{x}[/tex]

Step 3 - Simplify the above expression in order to determine the value of 'x'.

[tex]x = \pm\sqrt{2}[/tex]

Step 4 - Now, substitute the value of 'x' in the given expression.

[tex]x^6= (\sqrt{2} )^6\\x^6 = 8[/tex]

So, the value of the given expression [tex]x^6[/tex] is 8.

For more information, refer to the link given below:

https://brainly.com/question/25834626


Related Questions

Which expression has a value of 90?

Answers

Can you upload the document please so I can try to assist you

This size running track is usually called a 400-meter track. However, if a person ran as close to the "inside" as possible on the track, they would run less than 400 meters in one lap. How far away (in meters) from the inside border would someone have to run to make one lap equal exactly 400 meters?

Answers

Answer:

They would have to be in the very center of the track

Step-by-step explanation:

Look up how wide each lane of a track is and then times that by 2.5

I really need help with this question!!

Answers

X=3 and y=-2 hope this helps

Please help guys and i will return the favor. ❤️

Answers

Answer:

(2,5), (2,2), (4,1)

Step-by-step explanation:

ok so the coordinates of the first triangle is

(-4,5), (-4,2), (-2,1)

6 units to the right

(2,5), (2,2), (4,1)

Using the above​ technique, find the equation of the line containing the points (-2,7) (4,-2)

Answers

Equation of a line = y = mx +b

m = slope = change in y over the change in x

b = y intercept:

m = (-2 - 7) / (4 - -2) = -9/6 = -3/2

Now you have y = -3/2x + b

Use one of the points, replace y and x and solve for b:

7 = -3/2(-2) + b

Simplify:

7 = 3 + b

Subtract 3 from both sides:

b= 4

The equation is y = -3/2x + 4

Step-by-step explanation:

Hey there!.

The equation of a st.line passing through points (-2,7) and (4,2) is;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y - 7) = \frac{2 - 7}{4 + 2} (x + 2)[/tex]

Simplify it to get answer.

[tex](y - 7) = \frac{ - 5}{6} (x + 2)[/tex]

[tex]6(y - 7) = - 5(x + 2)[/tex]

[tex]6y - 42 = - 5x - 10[/tex]

[tex]5x + 6y - 42 + 10 = 0[/tex]

[tex]5x + 6y - 32 = 0[/tex]

Therefore the required equation is 5x+6y-32=0.

Hope it helps...

will mark the brainiest.

Answers

Answer:

11.95

i think

Step-by-step explanation:

PLZZZ HELPPP MEEE ASAPPPP

Answers

Answer:

5 - 900

4.5 - 810

3 - 540

2.25 - 405

Step-by-step explanation:

5 x 180 = 900

4.5 x 180 = 810

3 x 180 =540

2.25 x 180 = 405

−2(−4n + 1)+5(25n − 8)=−62.

Answers

Answer:

bet

Step-by-step explanation:

Answer:

n=-20/133

Step-by-step explanation:

Use the distributive property to multiply −2 by −4n+1.

8n−2+5(25n−8)=−62

Use the distributive property to multiply 5 by 25n−8.

8n−2+125n−40=−62

Combine 8n and 125n to get 133n.

133n−2−40=−62

Subtract 40 from −2 to get −42.

133n−42=−62

Add 42 to both sides.

133n=−62+42

Add −62 and 42 to get −20.

133n=−20

Divide both sides by 133.

n=-20/133

Fraction −20/133≈−0.15037594 can be rewritten as −20/133 ≈−0.15037594 by extracting the negative sign.

n=−20/133

SIMPLIFY THIS EXPRESSION:
2(z + 3) + 3(5 - 3z)

Answers

2z+6+15-9z
-7z+21

Hope this helps

what am I supposed to do here? I need help

Answers

Answer:

B = 5.5

Step-by-step explanation:

Take 5 to R.H.S,

4b=22,

b=22/2,

b=5.5

what is the first integer to the left of -6.1 on the number line?

Answers

Answer:   -7

The integer to the right is -6

See the diagram below.

The science club and the French club both ordered pizzas for their end-of-year banquets. After the banquets, the science club had 1 1/4 pizzas leftover and the French club had 2 5/24 pizzas leftover. Between the two clubs, how many total pizzas were leftover?
A. 23/24

B. 1 1/4

C. 3 1/4

D. 3 11/24

Answers

Answer:

A. 23/24

Hope this helped

Step-by-step explanation:

Answer:

A. 23/24

Step-by-step explanation:

plato users

Help Asap! Use the triangle sum theorem to solve for x in the triangle.

Answers

x+53+90+46 = 180 because the sum of all the interior angles of a triangle are always 180 degrees

x+189 = 180 here this proves that in this problem, x is negative

subtract 189 from both sides

x = -9 and that's your answer! hope this helps!

Kevin is tiling his bathroom. The floor is 6-by-5 feet, minus a 2-by-2.5-feet vanity. The tiles he likes are 1-by-1 foot. If he plans to buy 10 percent extra for waste, how many tiles will he need?

Answers

Answer:

try quizlet it would help!! :)

Step-by-step explanation:

if it does help your welcome

hope you find it

and wish u luck

The midpoint of AB is M(0, -3). If the coordinates of A are (2, 1), what are the
coordinates of B?

Answers

Answer:

(-2,-7)

Step-by-step explanation:

What is the value of x?
O 78
0 84
o 96
O 102

Answers

Answer:

96°

Explanation

Given problem:

 Find the value of x in the diagram;

Given that lines a and b are parallel lines and transversal c cuts through them;

  the two given angles are said to be equal and alternate angles;

  So;

                99  = x + 3

                     x  = 99  - 3  = 96°

The value of x is 96°

HELP ME MANN I HATE MATH

Answers

Answer:

$12 a week

Step-by-step explanation:

If he gets paid $168 for 14 weeks, to find 1 week's worth, divide 168 by 14 to get 12.

Answer:

Don't hate math because math is very important in our lives

How do I find all of the angles for this and what equations would I use to find angle 2,3,4,5,7, &8?​

Answers

Answer:

<2 = supplementary angle=180-110=70

<3 = supplementary angle=180-110=70

<4 = opposite angles=110

<5 = 110 (corresponding angle)

<7 = 70 (corresponding to angle 3)

<8 = 110 (corresponding to angle 4)

Step-by-step explanation:

<2 = supplementary angle=180-110=70

<3 = supplementary angle=180-110=70

<4 = opposite angles=110

<5 = 110 (corresponding angle)

<7 = 70 (corresponding to angle 3)

<8 = 110 (corresponding to angle 4)

You don't need to solve for x to find any of those angles.  If you want to anyway:

4x+10=70

4x=70-10

4x=60

x=60÷4

x=15

Geometry
Please help me with my homework! Thank you!

Answers

Answer:

BC, FG, EH.

Step-by-step explanation:

x- 0.1x + 2.70 = 56.70 solve for the answer

Answers

Answer:

x=60

Step-by-step explanation:

over the summer, you read 20 books. Eight of these books were biographies

Answers

Answer:

40%

Step-by-step explanation:

[tex]\frac{8}{20}*\frac{100}{1}\\ 8*5=40[/tex]

A Turtle traveled 1/10 mile in 1/2 hour. What was the turtle’s rate in miles per hour?
A.1/20
B.1/12
C.1/6
D.1/5

Answers

1/5

1/10 / 1/2= 2/10
Then simplify it by 2, it becomes D.1/5

calculate the area of the shaded region at right. use the appropriate units.​

Answers

to do this, you most likely have to multiply that numbers that are probably on the sides of whatever.

Please help ASPA thanks

Answers

What is it that you need help with im in Algebra 1

Explain why the slope of line is 26.

Answers

Answer:

Your question is lacking some details.

However, slope is determined by rise over run. You can get the rise by subtracting the change in y-values (coordinates) and the rise by subtracting the change in x-values (coordinates) .

Having 26 as slope means that the slope has gone up 26 units in the coordinate plane then 1 unit to the right.

Step-by-step explanation:

Order from least to greatest: 6 squared, -5.25, 3/2 , 5

Answers

Answer:

-5.25, 3/2, 5, 36

If "a" varies directly as "b" and inversely as "c". If a=16 when b=12 and c=6, find "a" when b=28 and c=4. *

Answers

Answer:

When b = 28 and c = 4, then a = 56

Step-by-step explanation:

We need to write the equation first

This is an example of a combined variation

if a varies directly as b and inversely as c;

then a = bk/c

where k is the constant of proportionality

We find k first;

16 = (12 * k)/6

k = (6 * 16)/12 = 8

We now want to find a

a = kb/c

a = (8 * 28)/4 = 7 * 8 = 56

Help please It would mean a lot

Answers

the answer is 3/5

if that's not right I apologize

Answer:

3/5

Step-by-step explanation:

When dividing fractions, you change the division sign to multiplication and also flip the fraction that you are multiplying with.

So: 2/4 would become 4/2

3/10 x 4/2

12/20

Highest common factor between 12 and 20 is 4.

Divide both sided by 4:

3/5

Pls help! Will reward brainliest, thanks!

Which element has the greatest average atomic mass?
A. iodine
B. bromine
C. tellurium
D. krypton

Answers

Answer:

the answer is option letter c. tellurium

Please help me with all these questions will mark as brainlists

Answers

Answer:

The fourth one Its tell you to add or miners or multiple

Step-by-step explanation:

And then the rest is telling you to explain you answer using your own words.

Other Questions
One week, Brooklyn earned $179.30 at her job when she worked for 11 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $244.50? Identify the underlined word/phrase:Juan would like to see the movie in the theater,adependent clausesimple sentencecompound sentence Math minute I need help with all questions I hav 4 minutes On a map, 1 inch equals 6 miles. Two cities are 7.5 inches apart onthe map. What is the actual distance between the cities? I really need help Given the equations are x=6 and y=-8 parallel perpendicular or neither PLEASE HELP! 50 POINTSfill in the blanks.. Filo earns $8 per hour, but he buys lunch for $5. How much money does he have left after he works x number of hours a day? Write an equation to model the problem. If Filo works for 6 hours, how much money will he take home that day? Show all work. What can a student do to identify vocabulary words in their notes?a. Underline themC. Put a star next to themb. Highlight themd. All of thesePlease select the best answer from the choices providedBCD how do societies answer the three economic questions?? Which examples demonstrate tasks commonly performed in Audio/Video Technology and Film jobs? Check all that apply.Leah installs telephone lines to a companys office.Maxine sets up lighting equipment in a theater for a play.Harold interviews crime witnesses for a news story.Charles announces information on the radio. Naomi fixes a broken speaker in a recording studio.Brad carries and operates a heavy video camera. Forensic psychiatry focuses on the relationship between human behavior and criminal justice.O TrueO False Hey can you help me thanks ps this due today so plz helpBook:A long walk to water1.What is the gist of chapter 1?2.What are the habits of character the Lost Boys used to survive? who here is boredddd The one time that the author and the narrator share the same voice in a literary piece is in ________writing.Question 6 options:Biographical Autobiographical Sci-Fi Memoir Who is LIKE the Vice President of a state? What is the Characters of The foolish donkey The area surrounding the nucleus is called: protons electrons neutrons electron cloud ask and answer with your partner Describe a time when you did something for the first time Select ALL the correct answers.Which two details in the passage support the idea that Darcy is also prejudiced against Elizabeth?"But disguise of every sort is my abhorrence""This is the estimation in which you hold me""Whose condition in life is so decidedly beneath my own""The inferiority of your connections""Flattered you into the belief of my being impelled by unqualified, unalloyedinclination" EXTRA POINTS* how do you graph a fraction? for example slope= 1/2, y-intercept: -2 how do you graph this