Simplify the rational Expression

Simplify The Rational Expression

Answers

Answer 1

Answer:

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

Step-by-step explanation:

We need to factor out numerator and denominator in order to simplify the rational expression by cancelling  common factors.

Numerator :  x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)

Denominator (factoring by grouping):

x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)

Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:

x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)

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


Related Questions

Which quadrants are (-4,5) in

Answers

Answer:

Quadrant 2

Step-by-step explanation:

Take a look at the picture I added it should help you on futures questions like this :)

I NEED HELP ASAP PICTURE IS DOWN BELOW

Answers

Answer:

18

Step-by-step explanation:

90/5=18

Under her cell phone plan, Katherine pays a flat cost of $50 per month and
$5 per gigabyte. She wants to keep her bill at $71 per month. How many
gigabytes of data can she use while staying within her budget?

Answers

Answer: x = 4.2

Step-by-step explanation:

To keep her bill at $71 per month, she needs to consume 4.2 gigabyte in a month.

A linear equation is in the form:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the initial value of y.

Let y represent the amount of money paid for x gigabyte.

Given a flat cost of $50 per month and  $5 per gigabyte, hence m = 5, b = 50. Therefore:

y = 5x + 50

For a bill of $71 per month:

71 = 5x + 50

5x = 21

x = 4.2

To keep her bill at $71 per month, she needs to consume 4.2 gigabyte in a month.

Find out more on linear equation at: https://brainly.com/question/14323743

Pencils cost 2 dollars each.
Rulers cost 3 dollars each.
Edith buys p pencils and r rulers.
The total cost is T dollars.
Write down a formula for Tin terms of p and r.
(3 marks)

Answers

P + r = t

T-p =r

This is the formula I think please I need more points

8. Do the representations below define a function? *
y =
x - 2
Yes, it is a function.
No, it is not a function.

Answers

Answer:

Step-by-step explanation:

Yes it is a function. Every x has only 1 y associated with it.

Describe the mathematical process for finding the area of a rectangle triangle and circle be sure to included explain the formulas for finding the area if each shape

Answers

Can someone help me on my question please answer hurry
A because b so nine is the cool

I need assistance please

Answers

Answer:

23

Step-by-step explanation:

6/3 = x-5/9 simplify the first fraction

2= x-5/9 multiply both of the sides

18 = x-5/9 move it around correctly

-x=-5-18 calculate it

-x=-23 the negatives cancel out

x=23

The answer to this question is 23

Mr. Tanner bought some boxes of markers with 18 markers in each box. He kept 2 markers and gave the rest to his students. Use the equation below to calculate the number of boxes (b) he bought. 18b – 2 = 214

Answers

Answer: 18b-2+2=214 +2

Step-by-step explanation:Add 2 both sides of the equation

Answer:

b = 12; he bought 12 boxes.

Step-by-step explanation:

18b - 2 = 214 (subtract 2 on both sides)

18b = 216 ( divide 18 on both sides to get 'b' alone)

b = 12

Can someone please help

Answers

Answer:

(-4)^10

Step-by-step explanation:

When doing this sort of problem, we multiply the exponents.

This is the power rule.

Find f(5) for f(x)= 1/9(3)^x
A. 27
B. 3
C. 9
D. 81

Answers

Answer:

A    27

Step-by-step explanation:

f(5) means x = 5, so substitute 5 into 1/9(3)^x

f(5) = 1/9(3^5) = 1/9(243) = 27

Answer:

27

Step-by-step explanation:

A box of cereal states that there are 87 calories in a 3 4​-cup serving. What is the unit rate for calories per​ cup? How many calories are there in 3 cups of the​ cereal?

Answers

Answer:

3 cups = 348 calories

Step-by-step explanation:

Step 1

Let the calories in one cup be represented as C

Therefore

3/4 x C = 87 calories

C = 87 X 4 / 3 = 116

unit rate is 116 calories per cup.

Step 2- Solving the number of calories in 2 cups

1 cup serving = 116 calories

2 cups servings = 116 x 2= 232 calories

116 x 3 = 348 calories

Credit: tutorAnne

9.

Jacks Plumbing charges customers $100 per hour for repair jobs. Al's Plumbing charges according to the equation y = 75x + 50, where x = time in hours and y = cost

dollars

Explain why Ars Plumbing charges less than Jacks Plumbing for a 4-hour repair job.

Does Als Plumbing charge less than Jacks Plumbing for all repair jobs? Explain why or why not.

Answers

Answer:

As given,

Per hour cost of Jack's plumbing = $100

Also,

Al's plumbing charges = 75x + 50 where x = time in hours .

Now,

Al's plumbing cost for 4 hours:

Here , x = 4

⇒75x + 5 = 75(4) + 50 = 300 + 50 = 350

∴ we get

Al's plumbing cost for 4 hours = $350

Now,

As Jack cost for 1 hour = $ 100

⇒ For 4 hour = 4×$100 = $400

∴ we get

Jack's plumbing cost for 4 hours = $400

As we can see that

$ 400 > $350

Jack's plumbing cost for 4 hours  >  Al's plumbing cost for 4 hours

Now,

Al's plumbing charges = 75x + 50 where x = time in hours .

For 1 hour

75x + 50 = 75(1) + 50 = 125

Al's 1 hour cost = $125

whereas Jack Plumbing cost for 1 hour  = $100

∴ we get

$125 > $100

⇒Al's 1 hour cost > Jack's 1 hour cost

Now,

Al's 2 hour cost

75x + 50 = 75(2) + 50 = 150 + 50 = 200

Al's 1 hour cost = $200

whereas Jack Plumbing cost for 2 hour  = $200

∴ we get

$200 =  $100

⇒Al's 2 hour cost = Jack's 2 hour cost

Now,

Al's 3 hour cost

75x + 50 = 75(3) + 50 = 225 + 50 = 275

Al's 1 hour cost = $275

whereas Jack Plumbing cost for 3 hour  = $300

∴ we get

$275 <   $300

⇒Al's 3 hour cost < Jack's 3 hour cost

Als0,

Jack's plumbing cost for 4 hours  >  Al's plumbing cost for 4 hours

∴ we get

We can not say that Als Plumbing charge less than Jacks Plumbing for all repair jobs.

Because the charge is fluctuating ,

For 1 hour , Aly' charge is grater whereas The 2 hour cost of Jack's is higher.

So, the Correct answer is - No, Al's Plumbing charge is not always less than Jacks Plumbing for all repair jobs.

(−4,3),(−2,1),(0,−1),(2,−3) Write a scenario?​

Answers

Answer:

tergtjmsrhatsfdghb

Step-by-step explanation:

Please help :( Find X.
Round to the nearest tenth.

Answers

90^2 = 55^2 + 50^2 - 2(55)(50)cosX
(90^2 - 55^2 - 50^2)/(2(55)(50)) = cosX
X = 62.1°

This circle graph shows the results of a survey that asked people to identify their favorite type of music.
What percent of people chose rock or country as their favorite type of music?

A. 9%

B. 35%

C. 45%

D. 55%

Answers

There is no circle graph
The answer is b 35 percent

Here is a picture of the Ferris wheel has a radius of 40 m how far does the writer travel in one complete rotation around the Ferris wheel

Answers

Answer:

I'm getting points

Step-by-step explanation:

so I can ask questionss

The time of a pendulum varies as the square root of its length. If the length if a pendulum which beats 15seconds is 9cm, find the length that beats 80seconds and the time of a pendulum with length 36cm

Answers

Answer:

length= 3.7 ft.

Step-by-step explanation:

T= (square root of length) * k

1.8 seconds = (square root of 3) * k

k= 1.8 seconds / (square root of 3)

a.) T= (square root of 11) k

substituting k:

T=(square root of 11) * 1.8 seconds / (square of 3)

T= 3.4 seconds

b.) 2 seconds = (square root of length) k

substituting k:

2 seconds =(square root of length) 1.8 seconds / (square root of 3)

Divide the equation by 1.8 seconds / (square root of 3):

2 seconds / [1.8 seconds / (square root of 3)] = (square root of length)

10(square root of 3) / 9 = (square root of length)

square both sides:

100/7 ft= length

length= 3.7 ft.

Hope this helps.

HELPPPPOMOGMGOGMGOGKM PLS ANSWER THIS CORRECTLY PLZZZ THIS IS FOR A VERY IMPORTANT TEST YOUWILL GET BRAINLIEST HELP

Answers

Answer:

i cant give u the answer but here is an example hope this helps slope  =  "rise over run"  the difference in y values divided by the difference in x values

= 6/-3 = -2 = m.  It's negative because as x increases, y decreases

plug that into the point slope formula, with either point.  generally use the most simple point

y-h= m(x-k) where m= -2 and (k,h) = (2,-2)

y+2 = -2(x-2)

simply if you want

Y = -2x +4 -2 = -2x +2

or

2x +y = 2

Step-by-step explanation:

Answer:

Your slope is -1

Your y inter is -3

Step-by-step explanation:

Hope this helps you :)

I need help with 1 through 10

Answers

Answer:

1) yes

2) no

3) no

4) no

5) yes

6) yes

7) yes

8) yes

9) circle equation - B

10) circle equation - D

11) 12 people in each team

sorry im not able to answer for 12 , 13 and 14 i have urgent work im so sorry

Probability tree diagram​

Answers

Answer:

?

Step-by-step explanation:

can you explain a little more

I’m not quite sure what you mean

HELP HELP PLSSSSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

19

Step-by-step explanation:

31 +9 =40

40 by 2 = 20

9-5=4

4 by 4= 1

20-1= 19

9 for the answer is 1
10 I’m not 100%sure on this but pretty sure it’s 359
Hope this helps!!

Explain answer !!

( WILL GIVE BRAINLEST)

Answers

Answer:

25-7

Step-by-step explanation:

"Substitute for": Replace x with ____

Since it is given that x = 25 -y, we can replace the x in 5x + y = 10 with 25 - y by the substitution property of equality.

Answer:

The expression to substitute for x is: 25-y, as said in the first equation

Step-by-step explanation:

Not sure if you need to solve for the variables, but here:

To find y:

Put 25-y in place of x.

You will get:

5(25-y) + y = 10

Use the Distributive Property and multiply 25 and y by 5:

125 - 5y + y = 10

Combine like terms (the y's):

125 - 4y = 10

Put like terms on the same side (move the 125 to the right side of the equal sign by subtracting 125 from both sides:

-4y = -115

Divide both sides by -4:

y = 28.75 (or 28-3/4)

To find x:

Substitute 28.75 for y in either equation.

First equation:

x= 25 - 28.75

x= -3.75

Second equation:

5x + 28.75 = 10

Subtract 28.75 from both sides:

5x = -18.75

Divide both sides by 5:

x = -3.75

solve the inequality 2(n+3) - 4 < 6. then graph the solution.



Please help ??

Answers

Answer:

n < 2

Step-by-step explanation:

Answer: Look at the explanation please.

Step-by-step explanation:

The first thing you would do is distribute the 2 to the n and the 3.

You will then get 2n+6-4<6

Next, you will have to subtract 6-4 and you will get 2

You will the have 2n+2<6

Subtract 2 from 2 to get 0 and from 6 to get 4.

Your left with 2n<4

Then, divide 2 from 2n and 2 from 4

Last, your answer will be n<2.

Graphing

Your graph would look like (from what I see in my book)

You have seven tick marks and in the middle will be 0.

From the left of 0 should have negative 1, 2, and 3

From the right of 0 would be positive 1, 2, and 3

On the top of 2 would be a open circle and an arrow going to the left.

Hope this helps :)

pls do this exponent worksheet

Answers

Please leave a thanks <3
Use Photo-math it helps snenwnnwnw

A car depreciates in value each year. Which of the following is NOT true about the value of the car after t years

Answers

Answer:

The car will be worth more in 20 years than the amount it was purchased for.

Step-by-step explanation:

If you look at the graph you see a downward trend, not an upward. That makes it impossible for it to be worth more Hopefully this helps.

Answer: B (top right)

Step-by-step explanation:

I need help on this problem really I would be grateful

Answers

Answer:

Step-by-step explanation:

The answer is A

PLZZZZ HELP QUICK
Ted and Katie have saved up a total of $94.00. Ted has saved 6 dollars less than 4 times as much as Katie. How much has Katie saved?

Answers

Answer:

22

Step-by-step explanation:

94-6 divided by 4

Answer:

LOOK BELOW IN STEP-BY-STEP

Step-by-step explanation:

First, do $94.00 times 4 which is $376

Then, take away 6 dollars from $376 which is $370

Hope that helped!!!

use the pythagorean theorem to write an equation for the distance Jane's trainer bikes.​

Answers

Complete question is;

Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs 12 miles west. Her trainer bikes from the health club to meet jane at the end of her run. Use the pythagorean theorem to write an equation for the distance janes trainer bikes

Answer:

x = √(12² + 16²)

Step-by-step explanation:

We are told that;

She bikes from health club to South = 16 miles

From South to West = 12 miles

Her trainer bikes from the health club to meet her at the end which is west.

I have attached a diagram showing this movement in form of a triangle.

From the diagram I attached, I have depicted the distance the trainer bikes as x.

Using pythagoras theorem;

x² = 12² + 16²

x = √(12² + 16²)

72: 24 equivalent to?

Answers

3:1 is the answer

it is simplified

Emilia and Joshua shared some money in the ratio 1:6.
Emilia received £15.
How much did Joshua receive?

Answers

Answer:

15x6

Step-by-step explanation:

do 15x6 and what that is, is the answer

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