anyone help me please
[tex] \frac{ \sqrt{x + 1} + \sqrt{x - 1} }{ (\sqrt{x + 1} - \sqrt{x - 1}) } + \frac{ \sqrt{x + 1} - \sqrt{x - 1} }{( \sqrt{x + 1} + \sqrt{x - 1}) } [/tex]

Answers

Answer 1

[tex]\\ \rm\hookrightarrow \dfrac{\sqrt{x+1}+\sqrt{x-1}}{\sqrt{x+1}-\sqrt{x-1}}+\dfrac{\sqrt{x+1}-\sqrt{x-1}}{\sqrt{x+1}+\sqrt{x-1}}[/tex]

[tex]\sf Let\begin{cases}\sf \sqrt{x+1}=a \\ \sf \sqrt{x-1}=b\end{cases}[/tex]

Now

[tex]\\ \rm\hookrightarrow \dfrac{a+b}{a-b}+\dfrac{a-b}{a+b}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{\left\{(a+b)(a+b)\right\}+\left\{(a-b)(a-b)\right\}}{(a+b)(a-b)}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{(a+b)^2+(a-b)^2}{a^2-b^2}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{a^2+2ab+b^2+a^2-2ab+b^2}{a^2-b^2}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{2a^2+2b^2}{a^2-b^2}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{2(a^2+b^2)}{a^2-b^2}[/tex]

Put values

[tex]\\ \rm\hookrightarrow \dfrac{2\left[(\sqrt{x+1})^2+(\sqrt{x-1})^2\right]}{(\sqrt{x+1})^2-(\sqrt{x-1})^2}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{2(x+1)(x-1)}{(x+1)(x-1)}[/tex]

Take 2 common

[tex]\\ \rm\hookrightarrow 2\left(\dfrac{(x+1)(x-1)}{(x+1)(x-1)}\right)[/tex]

[tex]\\ \rm\hookrightarrow 2(1)[/tex]

[tex]\\ \rm\hookrightarrow 2[/tex]

Answer 2

Answer:

it was helpful to you dear ❣️❣️❣️❣️❤️❤️❤️

Anyone Help Me Please[tex] \frac{ \sqrt{x + 1} + \sqrt{x - 1} }{ (\sqrt{x + 1} - \sqrt{x - 1}) } + \frac{

Related Questions

Suppose y varies directly with x. If y = –4 when x = 8, what is the equation of direct variation?

Complete the steps to write the equation of direct variation.

Start with the equation of direct variation y = kx.
Substitute in the given values for x and y to get
.
Solve for k to get
.
Write the direct variation equation with the value found for k. The equation is
.

Answers

Answer:

1.✔ -4 = k(8)8 = k(-4).

2.✔ -1/2.

3.✔ y = (-1/2)x.

Step-by-step explanation:

This is 100% right

Factor this polynomial expression.
x2 + 8x + 16
A. (x-8)(x - 2)
B. (x + 4)(x + 4)
C. (x+8)(x+2)
D. (x-4)(x - 4)

Answers

Answer:

I think (x+4) (x+4) is right answer.

Step-by-step explanation:

here,

x2+8x+16

=x2+(4+4)x+ 16

=x2+4x+4x+16

=x(x+4)+4(x+4)

=(x+4)(x+4) Ans

Name that polynomial X^4-3x^2+7x^5

Answers

We have that the Polynomial is named as a  Quintic polynomial

From the Question we are told that

Polynomial=[tex]X^4-3x^2+7x^5[/tex]

We note that the Polynomial is of degree 5 as its highest Sum of its exponent is a

Quintic polynomial

Therefore

The Polynomial is named as a  Quintic polynomial

In conclusion

For every Polynomial at degree five that is a greatest power of 5 (e^5) the accurate name for this polynomial is called a Quintic Polynomial

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Help,please(ues tomorrow 08/23/2021 excactly at 9am and i will fail if i don't submit. so pls(Please) help.

Answers

I believe the answer is 6sqrt2. You don’t really need to calculate, as you only need to know the rules about special triangles. From the image above, the triangle with side length of 4 inches is a 45 45 90 right triangle. You can prove this but I’m not going to go I depth unless you want me too. From this, you can also prove that the triangle with side length of 6 inches is also a 45 45 90 triangle. You can find the missing side length using the rule that in a 45 45 90 triangle, the hypotenuse is xsqrt2, which is basically 6sqrt2 in this case.

Simplify the rate $400 for 16 hours of work?

A) $26/h

B) $40/h

C) $ 16/h

D) $ 20/h​

Answers

Answer:

Please check the options

Step-by-step explanation:

In 16 hours = $400

In 1 hour = 400/16

In 1 hour = $25/h

Find the mean, median, mode, and range of the data set.
9, 3, 15, 7, 2, 4, 3
If necessary, round your answers to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Mean = Sum of data ÷ number of data set

         [tex]=\dfrac{9+3+15+7+2+4+3}{7}\\\\=\dfrac{43}{7}\\\\= 6.14\\\\= 6.1[/tex]

Median:

Arrange the data in ascending order:

2 , 3 , 3 , 4 , 7 , 9 , 15

Middle term is the median of the data set

Median  = 4th term = 4

Mode:

Mode is the data whose is frequency is more.

So, mode = 3

Range = Maximum - minimum

           = 15 - 2

           = 13

Find the distance between the points, A (-2, -3) and B (10, -2).

Answers

A. 13 units is the answer.

Which number is irrational?
A
B.
10
c.
716
D. V25
E. 36

Answers

Irrational is √10, because

√9 = √3² = 3

√16 = √4² = 4

√25 = √5² = 5

√36 = √6² = 36

We can't anything with √10, eventually we can approx.

Answer:

option a

Step-by-step explanation:

[tex] \sqrt{9 } = \sqrt{ {3}^{2} } = 3 \\ \sqrt{16 } = \sqrt{ {4}^{2} } = 4 \\ \sqrt{25} = \sqrt{ {5}^{2} } = 5 \\ \sqrt{36} = \sqrt{ {6}^{2} } = 6 \\ \sqrt{10} = \sqrt{2 \times 5} [/tex]

Hence, √10 is irrational number.

I hope it helped U

stay safe stay happy

Steve buys last year's best-selling novel, in hardcover, for $22.50. This is with a 10% discount from the original price. What was the original price of the novel?

Answers

The original price of the novel is $25.

The summary are:

Steve bought the novel at $22.50 (including the discount)The discount given by the seller of the novel is 10%

So, the original price will be computed as follows:

= $22.50 / (1 - 10%)

= $22.50 / 0.90

= $25

Therefore, the original price of the novel is $25.

See related question here

brainly.com/question/5264190

Write 4 2/5 as an improper fraction.

Answers

[tex]\\ \sf\longmapsto 4\dfrac{2}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5(4)+2}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{20+2}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{22}{5}[/tex]

22/5

Explanation-

First, multiply 4x5, Then you get the product 20. With that 20, add with 2, so, 20+2=22. Now, place denominator as it is, then write 22 as numerator. So you get the answer as 22/5.

Working-

4×5=20

→ 20+2=22

→ 22

22/5

Find the mode, median, and mean of each data set ( ASAP pls can someone help me )

Answers

Answer:

mean = 10.818181...

median = 10

mode = 5

Step-by-step explanation:

first put the numbers in order, smallest to largest

5 5 6 8 9 10 11 13 15 18 19

mean = 5+5+6+8+9+10+11+13+15+18+19 = 119 119÷11= 10.818181818... (round it)

median = 10

mode = 5

Write the polynomial in standard form.


LaTeX: 17+5abc\:-3d

Answers

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

ba de forttg

Find the number if:

5/9 of it is 90.

And another similar question;

Find the number if:

7/3 of it is 5 5/6


I need help with both of these questions.

Answers

Answer:

162 and [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

To find the original number multiply by the reciprocal of the multiplier, that is

90 × [tex]\frac{9}{5}[/tex] = [tex]\frac{810}{5}[/tex] = 162

------------------------------------------------------------------------

Similarly

Change the mixed number into an improper fraction

5 [tex]\frac{5}{6}[/tex] = [tex]\frac{35}{6}[/tex] , then

[tex]\frac{35}{6}[/tex] × [tex]\frac{3}{7}[/tex] ( cancel 35 and 7 by 7 / cancel 6 and 3 by 3 )

= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{1}[/tex]

= [tex]\frac{5}{2}[/tex]

Answer:

162

Step-by-step explanation:

If it is 5/9 of the original number is 90 we can just divide 90 by 5 to find 1/9 and then we can multiply that with 9 to get 9/9 which is the whole number.

90 ÷ 5 = 18

18 × 9 = 162

graph the inequality v ≤ -4 graph it

Answers

Answer:

This simply means that you can move on the line all the way to -∞ from -4

Please view the image to see the graph

Step-by-step explanation:

To each of the fraction below find 3 fractions with denominators powers of 10 getting closer and closer to it and hence write it to the decimal form of 1/11​

Answers

Solution:-1

[tex]\\ \sf\longmapsto \dfrac{4}{7}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{8}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{9}[/tex]

Solution:-2

[tex]\\ \sf\longmapsto \dfrac{1}{11}[/tex]

[tex]\\ \sf\longmapsto 0.09[/tex]

how to approximate to 3 significant figures

Answers

Answer:

We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.

Brooke spent 3/4 hours playing her flute each day for 7 days. How many hours did she play her flute in all

Answers

Answer:

5 and 1/4 hours or 5 hours and 15 minutes

Step-by-step explanation:

She played her flute 3/4 hours every day for 7 days, so to find the total number of hours we can multiply 3/4 by 7 to get 21/4.  This is equal to 5 and 1/4 hours, or 5 hours and 15 minutes.

Answer:  5.25 hrs

Step-by-step explanation:  3/4 of an hour is 45 min.  45 min x 7 days is 315 min which is 5 hours and 15 min or 5.25 hrs



A company's stock began the day at $39.17 per share. That price drops by $1.38 each hour.
What is the price per share after 4 hours?

Answers

Hi :)

The price per share after 4 hours is $33.65.

Answer:

$33.65

Step-by-step explanation:

A rectangular sticker has an area of 30 sq cm and it perimeter is 26 cm. what are the dimensions of the sticker?

#small Information
I know the equations but the problem I am not understanding it.. can you give a easier equations or method or more explanation of every equation..
Will give brainliest!!

Thank you :)

Answers

Answer:

Dimensions are 3cm and 10cm.

Step-by-step explanation:

We can make two equations for this problem.

ab = 30

2a + 2b = 26

Isolate a in the first equation.

a = 30/b

Plug that into the second equation.

2(30/b) + 2b = 26

2b^2 + 60 = 26b

2b^2 - 26b + 60 = 0

2(b - 3)(b - 10) = 0

b - 3 = 0 and b - 10 = 0

b = 3, 10

Plug these values into the first equation.

a3 = 30

a = 10

a10 = 30

a = 3

Best of Luck!

what is the same as moving the decimal point 3 places to the left in a decimal number ?

1. Multiplying the number by 1,000
2. Dividing the number by 1,000
3. Multiplying the number by 100
4. Dividing the number by 100

Answers

Answer:
Dividing the number by 1000

Explanation:
10,000 moved 3 decimal places to the left is 10
10,000 decided by 1,000 is 10

Which of the following is equivalent to 0.00648?
A. 6.48x10'-2
B. 6.48x10'3
C. 0.648x10'3
D. 6.48x10'-3

Answers

Answer:

The choose D. 6.48x10'-3

I hope I helped you^_^

Answer: i think its D.

Step-by-step explanation:

Bradley earned 15$ painting a fence for 2 hours and $30 for pressure washing the patio and deck for 4 hours. Did he earn the same amound per hour for both jobs?

Answers

Yesssssssssssssssssss

You have $20 to spend on two avocados.After buying them you had $16. How much did each avocado cost? A)$2 B)$10 C)$8 D)$3

Answers

Answer:

$2

Step-by-step explanation:

first you see the different between how much you started with and had left at the end. in this case its $4. since you're buying two avocados, half of the difference ($4) is for  each avocado. $4 divided by 2 is 2, making eat avocado 2

Answer:

2

Step-by-step explanation: 20-16=4. Now, since you got 2 avocados you divide 4 by 2 which then equals 2. So, each avocado is 2 dollars.   Hope this helps and have a great day! :D

solve the question pls​

Answers

Answer:

[tex]given \: that50 = b \\ a = c \\ 180 - 50 = a = 130 \\ so \: \: \: a = c = 130 \\ b = 50 \\ thank \: you[/tex]

A segment has the following coordinates A(6,7), B(4,-3). Find the coordinates of the of the midpoint of AB.

Answers

Answer:

(5,2)

Step-by-step explanation:

midpt coordinates =((x1+x2)/2,(y1+y2/2))

= ((6+4)/2), (7-3)/2)) = (5,2)

What is the value of r?

Answers

m = rp + k
308 = 9r + k >> k = -9r + 308
341 = 12r + k
341 = 12r - 9r + 308
341 = 3r + 308
33 = 3r
r = 11 :)
The answer for r is 11

The Dallas Cowboys starting at the 20 yard line, ran two plays. The first play gained 10 yards, and after the second play the ball was placed at the 50 yard line. How many yards they gain on the second play?

Answers

Answer:  20 yards

=========================================================

Explanation:

They start on the 20 yard line. After the first play, they gain 10 yards and move to the 20+10 = 30 yard line.

After the second play, they must have gained 20 yards because 30+20 = 50.

Or you can think of it like 50-30 = 20, which shows the distance from the 30 yard line to the 50 yard line is 20 yards.

All of this assumes that the Cowboys started on their side of the field.

Please help ASAP 17x - 4(4x - 3)

Answers

Step-by-step explanation:

17x-4(4x-4)

17x-16x+8

X+8

Answer:

x + 12

Step-by-step explanation:

17x - 4(4x - 3)

17x - 16x + 12

x + 12

Since the card has $0 minimum payments for the first 4 years it is active, Emma wonders how much it will cost her if she
doesn't pay off the $300 balance until after college. How much will she owe in 4 years?
Type the correct response in the box. Use numerals instead of words. Round your answer to the nearest dollar.
In 4 years, Emma will owe about $

Answers

Answer:

$544.61

Step-by-step explanation:

Edmentum

In 4 years, Emma will owe about $544.61 to the credit card company.

The model for Emma's debt in 4 years is given as:

FV = P(1+r/n)^nt,

where:

P = principal ($300)

r = the interest rate (15%)

t = the time in years (4 years)

n = the number of times the interest is compounded per year (12)

However, we can solve the problem with an online financial calculator as follows:

Data and Calculations:

N (# of periods) = 48 (4 x 12 months)

I/Y (Interest per year) = 15%

PV (Present Value) = $300

PMT (Periodic Payment) = $0

P/Y (# of periods per year) = 12

C/Y (# of times interest compound per year) = 12

Results:

FV = $544.61

Total Interest = $244.61

Complete Question:

Emma doesn't have experience using credit cards. In fact, she just got her first one. She is also about to start her first year of college. She uses her new credit card to purchase textbooks for her classes. The total comes to $300. These are the terms of her credit card:

It has a 15% annual interest rate.The interest is compounded monthly.The card has $0 minimum payments for the first four years it is active.

Thus, in 4 years, Emma will owe $544.61 to the credit card company.

Learn more about determining future value from present value at https://brainly.com/question/24703884

Find the equation of the line passing through the points with the given coordinates. Make sure your final answer
is in slope-intercept form.
(0,-4), (2,3)

Answers

Answer:

y = 7/2x - 4

Step-by-step explanation:

7/2 is the slope and -4 is the y intercept

Answer: y = 7/2 x - 4 (not 7/3)

Reason:

Slope = (y2-y1)/(x2-x1) or (3 - (-4)) / (2-0) = 7/2

b = -4, since you have (0,-4) as the x-intercept.
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