Mathematics College

if x+1/x=7,find x^2+1/x^2

Answers

Answer 1

Answer:

x²+1/x² = 51

Explanation:

Given x - 1/x = 7 ---(1)

We know the algebraic identity:

a²+b²-2ab = (a-b)²

a²+b² = (a-b)²+2ab

Now,

x²+1/x²

= (x-1/x)²+2*x*(1/x)

= (x-1/x)²+2

:7²+2 [ from (1)] =

= 49+2

= 51

Therefore,

x²+1/x² = 51

Related Questions

Tom is applying for a visa.
He has to pay £2,400 for the visa as well as a 8% charge on the visa price for an on-the-day service.
If Tom has 1 year to save, how much money should he save per month to be able to cover his costs?
Round your answer to the nearest £10.

Answers

Answer:

100

Step-by-step explanation:

The total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).

What is the amount?

" Amount is defined as the total of all the given quantities as per given conditions."

According to the question,

The amount required to pay for a visa [tex]= \£ 2,400[/tex]

Percentage charges on the visa price as day service[tex]= 8\%[/tex]

Amount as day charge [tex]= 8\%[/tex] of [tex]2400[/tex]

[tex]= \frac{8}{100} \times 2400\\\\= \£192[/tex]

The total amount required for a visa [tex]= \£ (2400 + 192)[/tex]

[tex]= \£ 2592[/tex]

Tom has one year to save,

Therefore,

Amount Tom save in one month [tex]= \frac{2592}{12}[/tex]

[tex]=\£ 216[/tex]

≈[tex]\£ 220[/tex] ( round to nearest [tex]\£ 10[/tex])

Hence, the total amount Tom saved per month is equal to [tex]\£ 220[/tex] (nearest [tex]\£10[/tex]).

Learn more about the amount here

https://brainly.com/question/13024617

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Which pair of points has a slope of 4? Question 4 options: (0, –3), (1, 1) (3, 0), (–1, –1) (1, 4), (–1, 4) (0, 4), (4, 0)

Answers

Answer:

(0,-3), (1,1)

Step-by-step explanation:

The answer is: (0,-3) and (1,1)

Explanation:

Slope = y2 - y1 / x2 - x1

M = 1 - ( -3 ) / 1 - 0

M = 4

Approximately what portion of the box is shaded blue?

Answers

Answer:

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

Answer: 1/2

QUESTION 19 PLEASE HELP ME ASAP

Answers

Answer:

changes over time

Step-by-step explanation: its going up not staying at one spot

Dean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work. make sure you put complete sentences

Answers

Answer: store b because you can get more ground beat.

Step-by-step explanation:

Emilio borrows $1200 from a bank with 8% simple interest per year. How much is the interest

Answers

Answer:

Step-by-step explanation:

trust me I'm good at math

Alan needs to mix 3 tablespoons of salt with 5 tablespoons of vinegar to make a cleaning solution. How many tablespoons of salt are needed for each tablespoon of vinegar? (5 points)

Question 3 options:

1)

tablespoons

2)

tablespoon

3)

tablespoon

4)

tablespoon

Answers

Answer:

the answer 3/5 lets hop i ace it

Step-by-step explanation:

Which inequality represents the phrase below? a number more than 72 A. x < 72 B. x > 72 C. x > 71 D. x = 72

Answers

Answer:

the answer is. C.i hope this helps sorry if im wrong

SOMEONE PLEASE HELP QUICKLY

A commercial claims that 8 out of 10 dentists recommend a certain brand of toothpaste. To test this claim, a random sample of 85 dentists is obtained. Of these 85 dentists, 73 indicated that they recommend that brand of toothpaste. Using a significance level of 5%, test the claim to see if the proportion of dentists who recommend this toothpaste is not 8 of 10.

a) State the null and alternative hypotheses

b) State the p value

c) Make a conclusion about the claim

Answers

Answer:

rgb

Step-by-step explanation:

wrtbtrb

a) The null hypothesis is: p = 0.8 and the alternative hypothesis is p ≠ 0.8.

b) p-value is 0.0838

c) We accept the null hypothesis

What are null and alternative hypothesis?

The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.

What is p-value?

A p-value is a statistical measurement used to validate a hypothesis against observed data.

a. Let p be the proportion of 8 out of 10 dentists.

The null hypothesis is

[tex]H_0 : p=\frac{8}{10}=0.8[/tex]

The alternative hypothesis is

[tex]H_1:p\neq 0.8[/tex]

b. The sample proportion [tex]\hat p=\frac{73}{85}\approx 0.86\\[/tex]

Z-score, the test statistic is

[tex]Z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}}{n} } \\\\Z=\frac{0.86-0.8}{\frac{\sqrt{0.8(1-0.8)}}{85} }\\ \\Z=\frac{0.06}{0.043386}\\ \\Z=1.3829\\\\Z\approx 1.38[/tex]

P(Z > 1.38) = 1 - P(Z < 1.38)

∴ P(Z > 1.38) = 1 - 0.9162 = 0.0838

p-value is 0.0838

c. Since the p-value is greater than the level of significance α=0.05, we reject the alternative hypothesis and accept the null hypothesis

For more information on null hypothesis: https://brainly.com/question/19263925

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One month Chris rented 7 movies and 9 video games for a total of $71. The next month he rented 5 movies and 3 video games for a total of $31. Find the rental cost for each movie and each video game.

Answers

simultaneous equations:
7m+9v=$71
5m+3v=$31

multiply the whole of the second equation by three to get:
7m+9v=$71
15m+9v=$31
now subtract the second equation from the first to get: 8m=$40 so a movie costs $5

now substitute the movie back into:
7(5)+9v=$71
35+9v=$71
9v=$36
so a video game costs $4

The table shows the transportation method of employees at a certain company. What percent of the total amount of employees drive a bus to work?

Car: 758
Bus:530
Walk:7
Other:105
Total:1400

Answers

Answer:

about 0.38 %

Step-by-step explanation:

Total = 1,400 Employees

Those who drive a bus = 530

530 / 1,400 = 0.378571428571429

round up = about 0.38 %

A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of sugar to water
in the mixture?

Answers

70 ounces Madison myrick

4. There are 20
students in a rath
class. The ratio of
boys to girls is 3:2.
a) How many boys
are in the class?
b) How many girls
are in the class?

Answers

12 boys and 8 girls

Please help me solve this

Answers

BA=(3),(3),(-1) is the answer

Approximately what portion of the box is shaded blue?

A.1/3
B.1/10
C. 1/6

Answers

B because I got it right

Write in expanded form
1) 531.029

Answers

Answer:

expanded for everything

Step-by-step explanation:

Expanded Form of 531.029:

531.029 = (5 * 102) + (3 * 101) + (1 * 100) + (2 * 1/102) + (9 * 1/103)

531.029 = (5 * 100) + (3 * 10) + (1 * 1) + (2 * 1/100) + (9 * 1/1,000)

531.029 = 500 + 30 + 1 + 2/100 + 9/1,000

531.029 = 500 + 30 + 1 + 0.02 + 0.009

What is the greatest possible error for a measurement of 2 fluid Ounces?

Answers

Answer:

2.35

Step-by-step explanation:

2 x 2 eqaul 9 times 2

The aquarium owns two research boats that will be docked next to the new building. The Delfino recently took 5 hours to cover 57.5 miles of shoreline. On its last research voyage, the Balina surveyed 54 miles in 4.5 hours. Which boat is faster?

The Delfino can travel at a rate of ______________ miles per hour (mph).

The Balina can travel at a rate of ______________ miles per hour (mph).

Answers

Answer:

The Balina is faster than the Delfino.

Step-by-step explanation:

Divide the amount of miles covered by the amount of hours it took for each one.

For the Delfino:

57.5 / 5 = 11.5

For the Balina:

54 / 4.5 = 12

You're welcome T^T

help me plzzz its too hard

Answers

23.27
- 5.3
______
17.97

i have a question yall

Even though you can take drivers ed at 14 but you cant get ur license till 15 would you take drivers ed at 14 or 15
answer asap

Answers

I’m driving in the road in the road

Drivers Ed differs from state to state so I’m not sure the rules exactly from wherever you are but I’d recommend to do it at 14 because once you pass, most state will then issue you a driving permit that you must have for a few months before giving you a license but if you get that at 14, you don’t have to wait as long to get an actual license.

(100 points will award brainliest)

In the image below, the m

Answers

Answer: 67°.

Step-by-step explanation:

1) m∠PMR=m∠LMN=3x+19°;

2) m∠LMN+m∠LMP=180°, it can be written as 3x+19+9x-31=180;

3) if to solve the equation 3x+19+9x-31=180, then x=16;

4) m∠PMR=3x+19=48+19=67°.

M is equivalent to (9x-31)

Is this table proportional?
XY
4 8
5 10
6 12
10 20

Answers

Answer: Yes b/c everything gets multiplied by 2

Answer this please please

Answers

Answer:

x is less than -3

Step-by-step explanation:

3x^2+9x<0

x^2+3x<0

x(x+3)<0

x+3<0

x<-3

I don’t understand this if someone can explain I got 13

Answers

Answer:

m = - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 9x + 4 ← is in slope- intercept form

with slope m = - 9

through: (-5,1), parallel to y = -2/3x +2

Answers

Answer:

y = -2/3x-1

Step-by-step explanation:

Bidmass

Working out equations

Answers

Answer:

Step-by-step explanation:

5+15-8/4=

5+15-4=

Answer:

10/2+15-8/4= 18

Step-by-step explanation:

glad to help

3 more day till christmas

The radius of the circle shown below is 8 centimeters. What is the
approximate length of XY?
115

A. 50.3 cm
B. 16.1 cm
C. 8.0 cm
D. 64.2 cm

Answers

16.1 cm! correct if wrong!

24-(8÷2)+6 I need help, please somebody answer

Answers

Answer:

Step-by-step explanation:

STEP

Simplify —

Equation at the end of step

(24 - 4) + 6

STEP

Final result :

ANSWER: 26

EXPLANATION:

To solve this we need to use order of operations, also known as pemdas

Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

You do that in order.

So first solve what in the parentheses,

8 divided by 2 is 4

So now we have

24 - 4 + 6

I know addition is written first in PEMDAS but you’re supposed do go left to right when that’s all you have left.

So

24 - 4 = 20

And

20 + 6 = 26

Hope this helps. If you have questions I’m here to answer

What is the measure of ZB?

Answers

Answer:

∠ B = 116°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , that is

∠ B + 28° + 36° = 180°

∠ B + 64° = 180° ( subtract 64° from both sides )

∠ B = 116°

Answer:

116°

Step-by-step explanation:

The sum of interior angles of a triangle is 180°

180 - 36 - 28 =

116°

A merchant buys a television for $125 and
sells it after a 60% mark-up. How much does
he sell the television for?

Answers

Answer:

200

Step-by-step explanation:

60% of 125 is 75

75+125=200

hope this helped!!!

Answer:

I think the answer is $200.

Step-by-step explanation:

hope this helps.

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if x+1/x=7,find x^2+1/x^2​

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if x+1/x=7,find x^2+1/x^2