simplify the complex rational expression

Simplify The Complex Rational Expression

Answers

Answer 1

Answer:

[tex]2(x+2)/x+1[/tex]

Step-by-step explanation:

Answer 2

Answer:

2( x +2 )

x+1

Step-by-step explanation:

to add or subtract expressions expand them to make their denominators the same, multiply 1 time [tex]\frac{x-2}{x-2}[/tex]

since [tex]\frac{x}{x-2}[/tex] and [tex]\frac{x-2}{x-2}[/tex] have the same denominators add them by adding their numerators

combine x + x -2

factor [tex]x^{2}[/tex] - 4

to add or subtract expressions expand them and multiply by 1

have same denominator add them by adding their numerators

do the multiplications in 3 + ( x-2 )(x+2)

combine like terms in 3 + [tex]x^{2}[/tex] + 2x - 2x -4

divide [tex]\frac{2x-2}{x-2}[/tex] by [tex]\frac{-1 + x^{2} }{(x-2)(x+2) }[/tex] multiplying [tex]\frac{2x-2}{x-2}[/tex]

cancel out x-2 in both numerator and denominator

factor the expression that are not already factored

cancel out x-1  in both numerator and denominator

expand the expression


Related Questions

(Need Help Quickly) find the measurement indicated in each trapezoid. (ISOSCELES TRAP) Do NOT include units (degrees, inches, feet, etc).*

Answers

Answer:

Notice in my attached drawing that I have located point H in two different locations, point H and point H2 for argument purposes.

Line FE is equal to line GH in length.

angle at corner F is 95 degrees.

The angle at point E varies with the location of point H, or with the length of line FG.

More information is needed to determine an exact angle at point E.

the length of a rectangle is 6 inches less than 4 times the width of the rectangle , write an expression to find the perimeter of the rectangle.

Answers

Answer:

x + (4x-6) • 2

Step-by-step explanation:

First, let's start by calling the width of the rectangle x

Because the length is 4 times the width minus 6, the equation for length will be 4x-6

The width and length together will be x + (4x-6)

You then have to times it by 2 to find the whole perimiter.

Put the numbers in order from smallest to largest.

1. fifth
4.9
2. third
5.0
3. sixth
3.6
4. first
3.1
5. fourth
4.2
6. second
4.5

Answers

In order of problems/numbers - 4, 3, 5, 6, 1, 2

Answer:

First - 3.1

Second - 3.6

Third - 4.2

Fourth - 4.5

Fifth - 4.9

Sixth - 5.0

Step-by-step explanation:

Hope it helped!

Which of the following expressions are equivalent to 7×7×7×7 ? Select all that apply.



A)47

B)74

C)77


D)28

E)2,401

F)16,384

Answers

D and E I believe would be the correct choices, 7x4 gives you 28 and 7x7x7x7 gives you 2,401.

Substitute x = 9.4, y = -1.7, and z = 4.8 into the expression 2y² - 4x + 8z.

Answers

What the actual f::u::c::k is this

8th grade math!!
please helppp

Answers

Noticed how it forms a supplementary angle.

A supplmentary angle is basically two angles that added up to 180 degrees.

So we have:

64 + x = 180

Then we solve for "x", so "x" = 116.

Hope that makes sense :)

The answer is 116.

180-64=116

Hope this helps! Have a good day!

The school band needs to raise more than $16,000 to buy new uniforms. They have already raised $4,000. The need to raise the remaining amount of money over the next 6 months. Which inequality represents the amount of money, m, the school band must raise next month to purchase the uniforms?

6m + 4,000 > 16,000

6m + 4,000 <16,000

6m - 4,000 > 16,000

6m - 4,000 < 16,000

Answers

Answer:

B

Step-by-step explanation:

What is the value of q?

Answers

Answer:

q = 70°

Step-by-step explanation:

The 3 angles form a straight angle and sum to 180° , that is

q + 52° + 58° = 180°

q + 110° = 180° ( subtract 110° from both sides )

q = 70°

Answer:

q=70

Step-by-step explanation:

All the angles added up adds up to 180 so all you have to do is subtract the known angles from 180. Your equation should look like this

180-52-58=70

help ill put the pics below

Answers

Answer:

A

Step-by-step explanation:

factorise x2 +7x +10

Answers

x^2 + 7x + 10

10 has factors of 1 & 10, and 5 & 2.
5 & 2 are numbers that add up to 7 which makes 7x, so you would use these two numbers, which makes...
(x+5) (x+2)

Write the equation of the line in slope-intercept form that goes through the points: (0, 5) and (4, 5)

Answers

Answer:

Step-by-step explanation:

The equation of a line written in slope-intercept form should be written as : y = mx + b

where m is the slope and b is the y-intercept.

We can find the slope, m, using the 2 points given:

(y2 - y1) / (x2 - x1) = (-12 -6) / (5- -4)

m= -18/9

m = -2

Then we can use this slope and one of the two points to find the intercept. Either point is fine but let's use (-4 , 6):

y = -2x + b

6 = -2 * -4 + b

6 = 8 + b

6-8 = 8 + b -8

-2 = b

The final equation of the line is: y = -2x -2

Lincoln and Hunter work at a dry cleaners ironing shirts. Lincoln can iron 30 shirts
per hour, and Hunter can iron 20 shirts per hour. Lincoln and Hunter worked a
combined 15 hours and ironed 350 shirts. Determine the number of hours Lincoln
worked and the number of hours Hunter worked.

Answers

L=hours Lincoln worked
H=hours Hunter worked

Two unknowns , two equations


30L+20H=350

L+H=15

Solve

L=15-H


30(15-H)+20H=350

450-30H+20H=350

-10H=-100

10H=100

H=10

L=15-10=5

Lincoln worked 10 hours

Hunter worked 5 hours

Check


30*5+20*10=350

150+200=350

350=350

What is the first step when multiplying mixed numbers.

Answers

Answer:

To multiply mixed numbers, first change any mixed number to an improper fraction. Then multiply the numerators together and the denominators together, as shown in Example .

Step-by-step explanation:

Kim's bedroom is 13 feet long and 11 feet wide how big is her room​

Answers

Answer:

143 square feet for area, 48 feet for perimeter

Step-by-step explanation:

Perimeter = 13 + 11 + 13 + 11 = 26 + 22 = 48 feet

Area = 13 x 11 = 143 feet square

Hope that helps!

=the awnser is 143 square feet because you times 13 times 11

PLZZ HELP ME...I AM FAILING THIS CLASS...WILL GIVE BRAINLIEST..THANKYOU SO MUCH!!

Answers

1. 20

2. 16

I think

.

.

.

1 20
2 16
:) gdgzfdhhdhdhdhddhdhhddhfdhjsjshdhdhhdhdhdfhhfhdhdhhdhdhgggdh

Given the triangles below, determine if they are similar. *
2 points
H
S
32
48
M
30
44
e
O Yes, A MHT ~ AQSW
O Yes, A MHT ~ AQWS
No, they're sides are not congruent
O No, they're sides are not proportional

Answers

Answer44

Step-by-step explanation:

5+5=10

What is the sum of k° + i°?

Answers

Answer:

we have:

k + 70° = 180°

=> k = 110°

u can see that i = 180°

=> k + i = 110° + 180° = 290°

Step-by-step explanation:

Identify the composite numbers in the table below.
(Choose 4)
21
22
23
24
25
29

Answers

Answer:

21, 22, 24, 25, 26, 27, 28,

Answer:

21, 22, 24, 25

Step-by-step explanation:

The composite numbers 20-30 are

20, 21, 22, 24, 25, 26, 27, 28, 30.

Your Most Welcome!

Josie's office recycled a total of 10 kilograms of paper over 5 weeks. After 7 weeks, how many kilograms of paper will Josie's office have recycled? Assume the relationship is directly proportional.​

Answers

Answer:

They averaged 2kg each week for 5 weeks which gave them 10kg. Averaging 2kg per week for two more weeks would give them a total of 14kg.

10 of 14
A car travels 37 km in 22 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.
km/h

Answers

100.9 kilometers per hour

write the equation of the graph in slope-intercept form

Answers

y=-3x+4
slope is -6/2=-3
y-intercept 4

Answer:

y=3x+4

Step-by-step explanation:

Remember slope is rise over run

Rise= 6

Run= 2

3 is slope

The y intercept is 4

Here is a list of numbers.
32 29 30 37 34
34 33 31
Tanya thinks that to work out the median, she simply needs to find
the middle number. So she says that “37" is the median for this list of numbers.
Tanya's answer is not correct.
a) Describe what is wrong with her method.
b) Work out the median of the numbers in the list.

Answers

Step-by-step explanation:

32 29 30 37 34  34 33 31

a) Describe what is wrong with her method.

There two likely reasons why her answer is not correct;

- She did not arrange the numbers in order.

- The middle position belongs to two numbers, instead of finding the average she picked only one

b) Work out the median of the numbers in the list.

Arranging the numbers in ascending order;

29, 30, 31, 32, 33, 34, 34, 37

32 and 33 are both in the middle. The average of both numbers is the median

Median = (32 + 33) / 2 = 65 / 2 = 32.5


PLEASE HELP ASAP WILL GIVE BRAINIEST

Answers

Answer:

15^7/4

Step-by-step explanation:

A=15 b=7 c=4

.......

Answer:

A = 15   C= 7    B=4

Step-by-step explanation:

Okay so as you can see there is [tex]15^{7}[/tex] so A would be 15 and C would be 7 and B would be  4

The length of a rectangle is three times its width of the perimeter of the rectangle is 40 yd find its length and width

Answers

Answer:

Step-by-step explanation:

L= 3W

Perimeter = 2(l+w) = 40

 

2(3w+w) = 40

 

2*4w = 40

8w =40

w = 5

l = 3*5 = 15

Can anyone help me? I have to write an equation.

Answers

if its in slope intercept witch I expect then,

Y=Mx+b

Y=1/5+4

A membership to a movie night club costs $10 plus $2 per movie. Write the equation in slope intercept form to represent the situation

Answers

y=2x+10 so the y intercept is 10 and the slope is 2

The equation in slope-intercept form is y = 2x + 10.

Option A is the correct answer.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Cost of membership = $10

Cost per movie = $2

The total cost for x movie.

= 10 + 2x

This can be written as,

y = 2x + 10

This is a slope-intercept form.

Where 2 is the slope.

Thus,

The equation is y = 2x + 10.

Learn more about equation of a line here:

https://brainly.com/question/23087740

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Identify two segments that are marked parallel to each other on the diagram below. PLEASE ANSWER CORRECTLY !!!!!!!! WILL
MARK BRIANLIEST !!!!! (Choose two capital letters for each !!!!!! )

Answers

Answer:

LO  is parallel to MN

Step-by-step explanation:

Here we have a parallelogram, and we want to identify two segments that are parallel.

We can see that ON is parallel to LM

And LO is parallel to MN

Because this is a parallelogram (we know this because there is a 90° angle at N), the opposite sides are parallel.

So from this, we can see that sides ON and LM are opposite, then ON is parallel to LM

With the same reasoning, LO is parallel to MN.

If you want to learn more, you can read:

https://brainly.com/question/16701300

PLEASE HELP EASY!!!!!!!!!!!!!!!!

Answers

Answer:

8a. The students

8b. Which music do you prefer?

8c. Simple Random Sampling. (This is where everyone in the population has an equal chance of being chosen.)

9. Around 92.

Step-by-step explanation:

The regular price of a pair of shoes is $65.00. The shoes are on sale for $58.50. What is the percent decrease in the price of the shoes?

Answers

Answer:

10%

Step-by-step explanation:

65.00x10%=6.50

65.00-6.50

0r you can do

65.00-10%=58.50

3
The diagram represents a portion of a small city. Maple Street and Pine
Street run exactly east to west. Oak Avenue runs exactly north to south.
All of the streets remain straight.

Answers

Yes. This is correct. Because the lines all cross eachother therefore maple street and pine are good.

All the statements that must be true are in options [tex]A, B, D, E[/tex].

What are parallel lines?

Parallel lines are those line which never intersect and maintains a constant distance.

We have,

From the given diagram,

Maple Street and Pine Street run exactly East to West.

And,

Oak Avenue runs exactly North to South.

Now,

From the given diagram,

A. Birch street and Elm street intersect at right angles. - True

B. Maple Street and Pine Street are parallel. - True

D. Pine Street intersect  both Birch street and Elm street.  - True

E. Oak Avenue and Maple Street are perpendicular. - True

Hence we can say that all the statements that must be true are in options [tex]A, B, D, E[/tex].

To learn more about parallel lines click here

brainly.com/question/21297845

#SPJ2

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