If x = 4-√5, find the value of (x2+1/x2 )

Answers

Answer 1

Answer:

2562 - 960√5/11

Step-by-step explanation:

We are given here the value of x as 4 - √5. We need to find the value of x² + 1/x² . So let's find out 1/x

⇒ x = 4 - √5

⇒ 1/x = 1/4-√5

⇒ 1/x = (4 + √5) / ( 4 - √5) ( 4 + √5 )

⇒ 1/x = 4 + √5 / 4² - (√5)²

[ using (a+b)(a-b) = a² - b²]

⇒ 1/x = 4+√5 / 16 - 5

1/x = 4+5/11

Add x² and 1/x² now ,

⇒ x² + 1/x² = (4-√5)² + (4+√5)²/11²

⇒ x² + 1/x² = 121( 16 + 5 -8√5 ) + 16 + 5 + 8√5 / 121

⇒ x² + 1/x² = 1936 + 605 - 968√5 + 21 + 8√5 / 121

⇒ x² + 1/x² = 2562 - 960√5/11


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The answer should be approximately 0.4

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Answer:

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Step-by-step explanation:

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The cost of a taxi ride is given by the function C(x)=0.75x +2,
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What are the domain and range of C(x) in this situation?

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Answer:

(

)

=

0

.

7

5

+

2

Step-by-step explanation:

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transformation that takes
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For what values of theta, °

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Answer:

Step-by-step explanation:


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Graph 1
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Chicago, Illinois, has an elevation of 600 feet above sea level. The elevation of Desert Shores, California, is 800 feet less than the elevation of Chicago. Select all options that apply to Desert Shores. *

elevation of –200 feet
elevation of 200 feet
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at sea level
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Answers

Answer:

elevation of –200 feet  

below sea level

Step-by-step explanation

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No links please I need help ASAP
The drama club sells tickets to their spring play. They sell 180 tickets for a
total of $2,248. Adult tickets cost $14 each. Student tickets cost $10 each.
How many adult tickets and how many student tickets do they sell?
Show your work.

Answers

The number of adult and student tickets are 112 and 68 respectively

How to determine the number of adult and student tickets?

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Set up equations to represent the problem.

Let the A and S represent the numbers of adult and student ticket respectively. So we can write:

A + S = 180 --- (1)

14A + 10S = 2248  --- (2)

From (1):

A = 180 - S ----(3)

Put (3) in (2):

14A + 10S = 2248

14(180 - S) + 10S = 2248

2520 - 14S + 10S = 2248

2520 - 4S = 2248

4S =  2520 - 2248

4S = 272

S = 272/4

S = 68

Put S = 68 in (3):

A = 180 - S

A = 180 - 68

A = 112

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Answers

Answer:

Radius

Step-by-step explanation:

The name of the segment AB is radius

A segment joining the center of the circle to a point on the circle is called radiusHere, A is the center of the circle and B is any point on the circle. So, segment AB is the radius of the [tex] \odot A[/tex]

Find the missing side.

Need help please.

Need to know how to get the answer.

Answers

it is sin with 20= 16/x

A fish is swimming at a constant rate toward the ocean floor. The equation y=-7x-3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming. Which statement best describes the depth of the fish, given this equation?

A. From a starting point of 7 meters below sea level, the fish is descending 3 meters per second.

B. From a starting point of 7 meters below sea level, the fish ascending 3 meters per second.

C. From a starting point of 3 meters below sea level, the fish is descending 7 meters per second.

D. From a starting point of 3 meters below sea level, the fish is ascending 7 meters per second.​

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Answer:

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Step-by-step explanation:

tell me if this is wrong.

King sporting good have tow bikes on sale. One costs $89.98 and another costs $99.99 . What is the difference in the price of these two bikes?

Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
36

18

9

64

Answers

Answer:

y = 36

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 18, z = 3 when x = 6 , then

- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )

- 108 = 3k ( divide both sides by 3 )

- 36 = k

y = [tex]\frac{-36z}{x}[/tex] ← equation of variation

When x = 5 and z = - 5, then

y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36

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Answers

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Step-by-step explanation:

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Answers

Answer: B

Step-by-step explanation:

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Answers

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Answers

Answer:

63

Step-by-step explanation:

Answer: 63

Step-by-step explanation: First, you would do 10 x 567.

10 x 500 = 5000

10 x 60 = 600

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5000 + 600 + 70 = 5670

Next, you find out 2 x 45.

2 x 45 is equivalent to 45 + 45.

45 + 45 = 90

Finally, you divide the product by the product - 5670 divided by 90.

The answer to that is 63.

Melanie had two $10 bills, one $5 bill, four dimes, and six pennies. Then she bought a fruit cup for $2.19. How much money did Melanie have after she bought the fruit cup

Answers

Answer is $23.27.

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What is the vertex of f(x) = |x + 8| – 3?
(-8,-3)
(-8,3)
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(8,3)

Answers

What is the vertex of f(x)=|-8,-3|-3?

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Given is an absolute value function,

f(x) = |x + 8| – 3

For a function of the form,

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Comparing the equation with the given one,

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f(x) = |x - (-8)| + (-3)

So we get, h = -8 and k = -3.

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Hence the vertex is (-8, -3).

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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D trust me look

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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