x = 1 + root 2 , find the value of (x - 1/x )^3​

Answers

Answer 1

Answer:

[tex](\sqrt{2})^3[/tex]

Step-by-step explanation:

Given the expression

[tex](x - \frac{1}{x} )^3[/tex]

Simplify

[tex](\frac{x^2-x}{x} )^3[/tex]

Given that x = 1+√2

Substitute

[tex](\frac{(1+\sqrt{2} )^2-(1+\sqrt{2} )}{1+\sqrt{2} } )^3\\=( \frac{1+2\sqrt{2} +2 - 1 - \sqrt{2}}{1+\sqrt{2}} )^3\\= (\frac{\sqrt{2}+2}{1+\sqrt{2}})^3 \\Rationalize\\= (\frac{\sqrt{2}-2+2-2\sqrt{2}}{1-2})^3 \\=( \frac{-\sqrt{2}}{-1})^3 \\= (\sqrt{2})^3\\ \\[/tex]


Related Questions

PLEASE EXPLAIN YOUR FREAKING ANSWER IVE BEEN DOING THIS ALL NIGHT AND NO ONE ACTUALLY HAS HELPED ITS DUE SOON PLS IM BEGGING U

Answers

Answer:

B

Step-by-step explanation:

First we find out over how many years the growth happened, from 1985 to 2020, that's 35 years.

In 1985 the club had 23,000 members, and it grew at an ave. rate of 5% each year. So, to find out 5% of 23,000 we can divide it by 100 to find 1% and then multiply by 5.

23,000 / 100 = 230 now 230 times 5 is 1150, to check our work we can multiply 1150 by 20 because it is 5% to get 100% and it is 23000 so we are on track so far. Now over the span of 35 the club grew by 1,150 each year, so, 1150 times 35 is 40,250 and if we add that to 23,000 we get 63,250. Round to the nearest thousand which would be

B. 78,000 but I may have went about solving exponential growth wrong but if this is the answer you have been getting there you go.

Kara and Steven are biking around a 105 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?

It says 120 is wrong :(

Answers

9514 1404 393

Answer:

  7 hours

Step-by-step explanation:

They will be at the same place when Kara completes one lap and Steven completes 2 laps. It will take Kara 7 hours to complete one lap.

  (105 km)/(15 km/h) = 7 h

Answer:

 7 hours

Step-by-step explanation:

They will be at the same place when Kara completes one lap and Steven completes 2 laps. It will take Kara 7 hours to complete one lap.

 (105 km)/(15 km/h) = 7 h

g(n) = n - 1
h(n) = n^3- 2
Find (g - h)(3)

Answers

Answer:

jsjshshzyzhshshw

Step-by-step explanation:

7U usual jusjsisj

This is a scale drawing of a flag. The scale factor of a drawing to the actual flag is represented by the ratio 1:18. What is the area, in
square inches, of the actual flag?
1 inch
- 2 inches
can someone help me rn pleaseeeee!!!!

Answers

Answer:

1×18=18

2×18=36

18×36= 648 inches squared

Step-by-step explanation:

Multiply both 1 inch and 2 inches by the scale factor of 18. For every one in of the scale model, there is 18 inches of the actual flag. Multiply your scaled number together to get the area.

Hope this helped!

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40 % salt and Solution B is 90 % salt. She wants to obtain 50 ounces of a mixture that is 80 % salt. How many ounces of each solution should she use?

Answers

Answer:

The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

Step-by-step explanation:

Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:

100 x 0.9 + 0 x 0.4 = 90

90 x 0.9 + 10 x 0.4 = 85

80 x 0.9 + 20 x 0.4 = 80

50 x 0.8 = 40

Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

A company has offices in two different countries. Employee salaries at both locations are strongly skewed
toward the higher salaries.
Every month, the company takes separate random samples of 60 employees from each location for a survey.
Each time, they look at the difference in the mean salary sampled from each location (EA - TB).
What do we know about the shape of the sampling distribution of IA
ŪB, and why?

Answers

Answer: its approximately normal because both sample sizes are at least 30

Step-by-step explanation:

Khan

HELP HELP HELP HELP FIND THE VALUE OF X

Answers

Answer:

x=9

Step-by-step explanation:

The sum of all three angles inside a triangle is always 180 and the small square in the bottom left corner means that that is a 90 degree angle.

90+5x+5x=180

add the x values together

90+10x=180

subtract 90 from both sides

10x=90

divide both sides by 10

x=9

The population of a city is roughly 2,457,000. Of these, 6.9% are of Hispanic origin. How many residents of the city are of Hispanic origin?

Answers

Answer:

48899-&$)9 f worn city hi

Find the final amount of money in an account if
$
7
,
200
is deposited at
6
%
interest compounded annually and the money is left for
6
years.

Answers

Answer:

$10,213.34

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r/n)^t

Given that;

P = $7,200

rate r = 6% = 0.06

Time t = 6years

n = 1

Substitute into the formula

A = 7200(1+0.06)^6

A = 7200(1.06)^6

A = 7200(1.4185)

A = 10,213.34

Hence the final amount is $10,213.34

help I will mark brainliest!

Answers

Answer: g  

its g cause I solved it and got g

Answer:

The answer is G. Hope this helps!

PLEASE HELP

do question 8 and 9

Answers

Answer:

x=7

x=4

x=1/9

Step-by-step explanation:

For number 9 you can either type out the work or say something like:

To solve all of the problems in Question 8 I had to move all of the terms without an (x) to the right side. After I did this I divided everything by the number attached to the (x) to find the value of (x) by itself.

Answer and Step-by-step explanation:

8a.

3x + 6 = 27

Subtract 6 from both sides.

3x = 21

Divide 3 from both sides.

x = 7

8b.

6x + 3 = 27

Subtract 3 from both sides.

6x = 24

Divide 6 from both sides.

x = 4

8c.

27x + 3 = 6

Subtract 3 from both sides.

27x = 3

Divide 27 from both sides.

x = 3/27

Simplify the fraction

x = 1/9

9.

The above steps are the reasonings for the above answers.

Alex and DJ go to the movies at 5:15. The movie lasts 2 hours and 25 minutes. What time did they get out of the move?​

Answers

Answer:

7:40

Step-by-step explanation:

In training, Kayden does
reps
where
he bench presses 65 kilograms. How
many reps does he have to do to
bench press a total of 1 metric ton?

Answers

Answer:

0.065 metric tons

Step-by-step explanation:

Given

65 kg

To find

Convert 65 kg to metric tons

Then, the answer is 0.065 metric tons

Which statement describes the graph of y = 7?
a: A horizontal line with no "run" and infinite "rise"
b: A horizontal line with no "rise" and infinite "run"
c: A vertical line with no "run" and infinite "rise"
d: A vertical line with no "rise" and infinite "run

Answers

Answer:

b. A horizontal line with no "rise" and infinite "run"

Step-by-step explanation:

since y = 7, y will always equal 7 no matter what the x value is, so it has no rise, or increase in y value. But it doesn't say anything about the x value, so it infinitely increases. The answer is b. A horizontal line with no "rise" and infinite "run"

GEOMETRY!! Will give brainliest which one is better please explain

Answers

Second pictures it is better

If x = 81, what is the value of x(x - 6)?
A.
6,075
B.
156
C.
7,047
D.
6,642

Answers

Answer:

A

Step-by-step explanation:

Mr. and mrs. Brown bought a new kitchen table for $450. It was 75% of the original price. Determine the original price of the kitchen table.

Answers

Answer:

$600

Step-by-step explanation:

To find the original price, divide the cost by 0.75

450/0.75

= 600

So, the original price was $600

Answer: $600

Step by Step explaination:

What is $45.79 multiplied by .50 equal

Answers

Answer:

686.85

Step-by-step explanation:

Answer:

$45.79 multiplied by .50 equals 22.895

Karen purchased a used vehicle that depreciates under a straight-line
method. The initial value of the car is $4000, and the salvage value is $400. If
the car is expected to have a useful life of another 6 years, how much will it
depreciate each year?

Answers

Answer:

2400

Step-by-step explanation:

because it goes down 400 each year

Karen expects the vehicle to depreciate by 600 each year.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Now, It is expected to depreciate from 4000 to 400 in 6 years.

Hence, The depreciation per year is the ratio is,

⇒ Depreciation per year = (Total depreciation) / (Number of years)

Hence, The total depreciation is the change in value, so the depreciation per year is

⇒ (4000 - 400)/6

= 3600 / 6

= 600

Thus, Karen expects the vehicle to depreciate by 600 each year.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ7


Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 1?

Answers

Angle 1 and Angle 8

Explanation:
They are outside the parallel lines and on alternating sides of the transversal

please view attached image about angles (50 pts and brainliest)

Answers

Answer:

The value of X is 126. The angle of JML is 42

simplify 2 1/2 times 3/4

Answers

Answer:

[tex] \frac{5}{2} \times \frac{3}{4} \\ \frac{15}{8} [/tex]

Answer:

15/8

Step-by-step explanation:

2.5/2 = 1.25

1.25/2 = 0.625

2.5 - 0.625 = 1.875

1.875 = 75/40 = 15/8

(PLEASE HELP!!)
Find the perimeter and the area of the regular polygon below

Answers

Answer:

p = 20

a = 27.5

Step-by-step explanation:

The length of the bottom side is 4.

perimeter = 5 * 4 = 20

area = ½san

area = ½(4)(2.75)(5)

area = 27.5

How many times greater is 8.4x10^4 than 2.1x10^2

Answers

Answer:

4 times greater

Step-by-step explanation:

[tex]8.4*10^2=840\\2.1*10^2=210\\840/210=4\\[/tex]

Answer:

C. 400 times greater

Step-by-step explanation:

8.4 · [tex]10^{4}[/tex]

84000

2.1 · 10²

210

84000 ÷ 210 = 400

C. 400 times greater

How many Perpendicular lines does an H have

Answers

Answer:

it has two line

Step-by-step explanation:

6. What is the area of he trapezoid? Help Please ​

Answers

Answer:

It’s G. 330 m^2

Step-by-step explanation:

The formula for a trapezoid is (a+b)/2 times h.

So a is base one and b is base two and the h is the height.

So it would be like (19+41)/2 X 11 then you would get

60/2 X 11

30 X 11 equals 330

What’s the 10th term to 18,12,8,...

Answers

Answer:

0.468

Step-by-step explanation:

Hope it helps

solve the quadratic equation. x^2 + x = 12

Answers

Answer:

-4, 3

Step-by-step explanation:

see steps below

Complete the table.

Given: GHIJ is rhombus

Prove: ∠1≅∠3

Answers

Answer:

Step-by-step explanation

Gordon invested $28,000 into a CD compounded quarterly with an annual interest
rate of 2.50%. Determine how much money Gordon would have after 8 years. Round
your answer to the nearest cent. Provide only a numerical answer (For example, if the
final amount came to $5,023.97, then you would input 5023.97).

Answers

Answer:

Gordon will have $ 34,178 after 8 years of investment.

Step-by-step explanation:

Given that Gordon invested $ 28,000 into a CD compounded quarterly with an annual interest rate of 2.50%, to determine how much money Gordon would have after 8 years, the following calculation must be performed:

28,000 x (1 + 0.025 / 4) ^ 8x4 = X

28,000 x (1 + 0.00625) ^ 32 = X

28,000 x 1.00625 ^ 32 = X

28,000 x 1,220 = X

34,177.997 = X

Therefore, Gordon will have $ 34,178 after 8 years of investment.

Gordon will have 3,417,799 cents in his account after 8 years

The formula for calculating the compounding amount is expressed as;

[tex]A =P(1+\frac{r}{n} )^{nt}[/tex] where:

P is the amount invested

r is the rate in decimal

t is the time taken

n is the compounding time

Given the following

P = $28,000

r = 2.50% = 0.025

t = 8 years

n = 4

Substitute the given parameters into the formula to have;

[tex]A =28,000(1+\frac{0.025}{4} )^{4(8)}\\A=28,000(1+0.00625)^{32}\\A=28,000(1.00625)^{32}\\A=28,000(1.2206)\\A=$34,177.99[/tex]

Hence Gordon will have 3,417,799 cents in his account after 8 years

Learn more about compound interest here: https://brainly.com/question/18456266

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