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:

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Related Questions

which figures show that M is a midpoint? select all that apply.​

Answers

Step-by-step explanation:

a D&C show that m is the midpoint

The required figures that show the mid-points are (c) and (d).

What is the midpoint?

A midpoint is a point on the line whose distance from both ends of the line is equal.

Here,
Figures are shown where in figure (A) only point M is shown which does not describe itself. In figure (B) M is located so far from B and there is no point on the other side of M. In figure (C) and (D) Point M is located between two certain points with equal measures.

Thus, the required figures that show the mid-points are (c) and (d).

Learn more about midpoints here:
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Answer the following above:

Answers

Answer:

-3.1

Step-by-step explanation:

Just divide -15.5 by 5.

-15.5/5 is -3.1. C’est trop simple!

The √28 is between which two whole numbers?

Answers

Answer:

between 5 and 6

Step-by-step explanation:

Choose 2 perfect squares either side of 28, that is

25 < 28 < 36, then

[tex]\sqrt{25}[/tex] < [tex]\sqrt{28}[/tex] < [tex]\sqrt{36}[/tex] , thus

5 < [tex]\sqrt{28}[/tex] < 6

Solve for g: k=wv2/2g

Answers

Answer:

g = k/vw

Step-by-step explanation:

3/5x = -15 one or two step equations

Answers

Answer:

x=1/25

Step-by-step explanation:

Answer: -25

Step-by-step explanation:

You would have to divide both sides by 3/5 which is the same as multiplying by 5/3.

x = -15*5/3

x = -75/3 = -25

Here are three different rules:



number of tiles = position x 1 + 1



number of tiles = position x 3 + 1



number of tiles = position x 5 + 1



How are these pattern rules the same?



How are these pattern rules different?

Answers

Answer:

they all add one

and...

the position is multiplied by different numbers

Length breadth and height of a room are 5 metre 4 metre and 4 metre Calculate its area​

Answers

Answer:

Area = L x B

= 5m x 4m =20m square

How many hours will you have to work each weekend day to have a 33 hour work week? Assume you don't work during the weekdays.

Answers

You could work 16 1/2 hours Saturday and Sunday

The product of four and a number +17 is five

Answers

Answer:  n = -3

.........................

I Need help ASAP!!!!!

Answers

Answer is D
Hope that help!

In 1819, the United States purchased Florida from Spain for
$5 X 106. The area of Florida is about 6.6 x 104 square miles.
Which key strokes on a calculator will give the cost the
United States paid for each square mile of Florida?
A) 6.6EE4×5EE(-)6
B) 6.6EE4÷5EE6
C)5EE6×6.6EE4
D)5EE6÷6.6EE4

Answers

Answer:

D. 5 x 10⁶ ÷ 6.6 x 10⁴

Step-by-step explanation:

If 6.6 x 10^4 square miles of florida costs $5 X 10^6, then to get one square miles we will follow the given steps below;

6.6 x 10^4 mi² = $5 X 10^6

1mi² = $x

Cross multiply;

$5 X 10^6 * 1 = 6.6 x 10^4 * x

6.6 x 10⁴ x = 5 X 10⁶

Divide both sides by 6.6 x 10⁴  to get x;

6.6 x 10⁴ x /6.6 x 10⁴ = 5 x 10⁶/6.6 x 10⁴

x = 5 x 10⁶ ÷ 6.6 x 10⁴

x = 0.76*10⁶⁻⁴

x = $0.76*10²

Hence the key strokes on a calculator will give the cost the  United States paid for each square mile of Florida is 5 x 10⁶ ÷ 6.6 x 10⁴

If the weather forecast calls for a 20% chance of light rain tomorrow, would you say that it is likely to rain tomorrow?

Answers

Answer:

Unlikely

Step-by-step explanation:

There are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.

What is probability?

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The weather forecast calls for a 20% chance of light rain tomorrow.

Probability of rain:

P(rain) = 20% = 0.2

Complement event: Not rain tomorrow

Probability of complement event P(not rain) = 1 – 0.2 = 0.8 or 80%

P(not rain) > P(rain)

Thus, there are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.

Learn more about the probability here:

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14=−2c−6−3c what is the value of c?

Answers

Answer:

C=-4 (I'm not sure why my negative symbols are not showing up properly, the answer is C equals a negative four.)

Step-by-step explanation:

14=-2c-6-3c

14=-5c-6

5c+14=-6

5c=-20

c=-4

7.) What is -10 has a fraction?

Answers

-10/1 is the correct answer
ANSWER : -10/1
Nothing further can be done to this topic

Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast,before tip?

Answers

Answer:          $9.00

.......................................

f(x)=2x+1,g(x)=X2-2x-4

Answers

(x)=2x+1,g(x)=X2-2x-4

(x)=2•x+1
(x)=X•2-2•x-4

x = -1
2X-3x = 4

X = 1
2
= 0.5
x = -1

What is an equation of the line that is parallel to the one shown and passes through (6, −5)?

A. y=−23x−1
B. y=32x−4
C. y=23x+1
D. y=−32x+4

Answers

Answer:

D is the answer

The equation in slope-intercept form, of the line that passes through (6, -5) and is parallel to the line given is: D. [tex]\mathbf{y = -\frac{3}{2} x + 4}[/tex]

Recall:

Slope of two lines that are parallel to each other will always be the same value.Slope = rise/run

From the graph shown, the slope (m) of the line is [tex]-\frac{3}{2}[/tex].

Thus, the line that passes through (6, -5) and is parallel to the line in the graph will have the same slope of [tex]-\frac{3}{2}[/tex].

Write the equation in point-slope form by substituting (a, b) = (6, -5) and m = -3/2 into y - b = m(x - a).

Thus:

[tex]y - (-5) = -\frac{3}{2} (x - 6)\\\\y +5 = -\frac{3}{2} (x - 6)[/tex]

Rewrite in point-slope form as y = mx + b

[tex]y +5 = -\frac{3}{2} (x - 6)\\\\y + 5 = -\frac{3}{2} x + 9\\\\y = -\frac{3}{2} x + 9 - 5\\\\\mathbf{y = -\frac{3}{2} x + 4}[/tex]

Therefore, the equation in slope-intercept form, of the line that passes through (6, -5) and is parallel to the line given is: D. [tex]\mathbf{y = -\frac{3}{2} x + 4}[/tex]

Learn more here:

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f(x)=(x+1)(x+3)(x−4 the standard form of F(x)

Answers

Answer:

f(x)=x^3-13x-12

Step-by-step explanation:

Help it’s homework!!!!

Answers

Answer:

(3x - 3)(x + 2)

Step-by-step explanation:

3x^2 + 3x - 6

(3x^2 + 6x)(-3x - 6)

3x(x + 2) -3(x + 2)

(3x - 3)(x + 2)

A cupcake baker is baking and selling cupcakes to make money

His equation which shows profit (y) for selling cupcakes at price (x) in dollars

The equation is y= -200(x-3)² + 450

questions :
1, What profit would the baker make if he sold cupcakes for $5?
2, What price would maximize his profits? ( if negative it is a loss)
3, What would the maximum profit be?

Answers

Answer:

uhh precious why u stalkin me????

Step-by-step explanation:

This is really confusing can someone help?

Answers

Answer:

D.780.8

Step-by-step explanation:

multiply 244 and 3.2 and you get D. hope this helps.

Answer:

B (780 4/5)

Step-by-step explanation:

He’s buying 24 boxes, and each box weighs 3 1/5 pounds. So we need to multiply 24 x 3 1/5, resulting in 780 4/5

So sorry if I’m wrong. Have a good day!

~Louella Marie Smith♥️

Evaluate the expression 3+ [5(2-3) - 6] ​

Answers

Answer:

-8

Step-by-step explanation:

Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. Write a proportion that compares the sales of these two items, and find the cross products. The cross products are both equal to .

Answers

Answer:

The proportional equation is [tex]\frac{5}{3}[/tex] = [tex]\frac{7}{4.20}[/tex]

Cross product are both equal to 21.

Step-by-step explanation:

5 peanut butter biscuits for $3

7 beef treats for $4.20

So, proportional equation is

[tex]\frac{5}{3}[/tex] = [tex]\frac{7}{4.20}[/tex]

Cross multiply

21=21

Answer:

21

Step-by-step explanation:

Source: Trust me bro

Help me pleasee............

Answers

The picture is blurry I can’t see it well

Answer: 30

Step-by-step explanation:

100-70=30

You go out to lunch with some friends at your favorite restaurant. The bill is $25.56 and you want to leave a 20% tip. What is the TOTAL COST of the bill with tip included?

$20.45

$30.67

$127.80

$5.11

Answers

Answer:

30.67

Step-by-step explanation:

20 percent of 25.56 is 5.1

Please help me immediately I’m very stuck

Answers

Answer:

D

Step-by-step explanation:

because you want to find the sum of the amount.

b
It takes 4 workers 6 days to build a shed.
How many sheds could 2
of the workers make in 36
days, if all of the workers
work at the same rate?

Answers

Two workers can only make 3 sheds in 36 days

I dont quite understand how to do this​

Answers

Answer:

10

Step-by-step explanation:

substitute -3 in for x

f(-3)=(-3)²+1=

9+1=10

(You can ignore the g(x) part - it has nothing to do with this question.)

Which is the graph of the linear function that is represented by the equation y = one-half x minus 2?
On a coordinate plane, a line goes through points (negative 1, 0) and (0, 2).
On a coordinate plane, a line goes through points (negative 2, 0) and (0, 1).
On a coordinate plane, a line goes through points (0, negative 2) and (4, 0).
On a coordinate plane, a line goes through points (0, negative 2) and (1, 0).


Pls help me It's overdue by about 20 minutes now ;w;

Answers

Our slope is 1/2x and our intercept is -2

Our line starts at (0, -2).

Using the slope, the second point is at (0 + 1, 2 + -2) = (1, 0)

The last answer choice is correct.

Answer:

d

Step-by-step explanation:

After a baby was born, he began to gain weight at a rate of 1.5 pounds per month. The weight of the baby at birth was 10 pounds. Write an equation for W,W, in terms of t,t, representing weight, in pounds, of the newborn baby tt months after birth. W=? Please answer !!!

Answers

Answer:

W = 10 +1.5t

Step-by-step explanation:

10 pounds

addition of 1.5 pounds

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