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

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...

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]

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

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°

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

Answers

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

Hope this helps

Which expression has a value of 90?

Answers

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

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

Answers

Answer:

x=60

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

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

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

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

Answers

Answer:

-5.25, 3/2, 5, 36

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.

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.

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!

Please help ASPA thanks

Answers

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

Geometry
Please help me with my homework! Thank you!

Answers

Answer:

BC, FG, EH.

Step-by-step explanation:

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

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

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

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)

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

−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

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

will mark the brainiest.

Answers

Answer:

11.95

i think

Step-by-step explanation:

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.

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:

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:

I really need help with this question!!

Answers

X=3 and y=-2 hope this helps

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

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