Subtract the rational expression

Please show the steps to the answer

Subtract The Rational Expression Please Show The Steps To The Answer

Answers

Answer 1

Answer:

[tex]\frac{x^2-8x-12}{2x^2+5x-4}[/tex]

1. Find common denominator (LCD)(x + 3)(2x - 1) =  [tex]2x^2 + 5x - 4[/tex]

2. Multiply bottom to get LCD, then multiply top to matchFirst term: [tex]\frac{x}{x+3} (\frac{2x -1}{2x-1} ) = \frac{2x^2-x}{2x^2+5x-4}[/tex]Second term: [tex]\frac{x+4}{2x-1} (\frac{x+3}{x+3} )=\frac{x^2+7x+12}{2x^2+5x-4}[/tex]Ending expression: [tex]\frac{2x^2-x}{2x^2+5x-4} -\frac{x^2+7x+12}{2x^2+5x-4}[/tex]

3. Rewrite terms in a single fraction[tex]\frac{2x^2-x}{2x^2+5x-4} -\frac{x^2+7x+12}{2x^2+5x-4}[/tex]  -----> [tex]\frac{(2x^2-x)-(x^2+7x+12)}{2x^2+5x-4}[/tex]

4. Subtract, then combine like termsFinal answer: [tex]\frac{x^2-8x-12}{2x^2+5x-4}[/tex]


Related Questions

i need help i will give them 100 points.

Answers

Hello!

∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘  ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘ ∘

Slope Formula:

[tex]\bold{\displaystyle\frac{y_2-y_1}{x_2-x_1}}[/tex]

Where

[tex]\bold{y_2}[/tex]  is the y-coordinate of the second point

[tex]\bold{y_1}[/tex] is the y-coordinate of the first point

[tex]\bold{x_2}[/tex] is the x-coordinate of the second point

[tex]\bold{x_1}[/tex] is the x-coordinate of the first point

Check the First example:

[tex]\bf{y_2}[/tex] = 6

[tex]\bf{y_1}[/tex]= -2

[tex]\bf{x_2}[/tex]=3

[tex]\bf{x_1}[/tex] = -9

Plug in the Values

[tex]\bf{\displaystyle\frac{6-(-2)}{3-(-9)} }[/tex]

6-(-2) is the same as 6+2; same with 3-(-9)

[tex]\bf{\displaystyle\frac{6+2}{3+9}}[/tex]

Simplify:

[tex]\bf{\displaystyle\frac{8}{12}}[/tex]

Is the slope negative? Nope!

How about Option B?

[tex]\bf{\displaystyle\frac{7-9}{5-6}}[/tex]

[tex]\bf{\displaystyle\frac{-2}{-1}}[/tex]

Right now it seems like the slope's negative, huh? Well, wait for it...

[tex]\bf{2}[/tex]

Kaboom!

Please remember that

[tex]\bigstar^\circ[/tex] A negative number multiplied/divided by a negative number equals... a positive! :-)

We have 2 options left: C & D.

[tex]\displaystyle\frac{-8-1}{8-(-8)}[/tex]

[tex]\displaystyle\frac{-8-1}{8+8}}[/tex]

[tex]\displaystyle\frac{-9}{16}}[/tex]

We did it! The slope's actually negative :)

How about Option D (just to make sure the third option is right)

-9-(-8)/-1-2

-9+8/-3

-1/-3

Again we have a negative over a negative.

Therefore, the correct option is

[tex]\boxed{\boxed{\bold{Option~C}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearnWithJoy

[tex]\text{An~Emotional~Helper}[/tex]

[tex]\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}~\rule{2}{2}[/tex]

the last one because the y is negative

Can someone help me with this math equation? Can you explain how to work it out also?

Answers

Answer: 50

Explanation:What we know:The numerator is 6The denominator is equal to (3*5)^(-2)In fraction-style equations, the numerators are divided by denominatorsNegative exponents are equal to (base)^|power|, and then reversing the products place in the fraction

How to solve:

    By utilizing our knowledge of the PEMDAS solving method, negative powers, and fraction-style equations, this problem can be solved with a simple step-by-step procedure

Process:Exponent

Set up equation                                                            6 / [3 * 5^(-2)]

Rewrite power                                                              6 / [3 * (5 * 5)]

Simplify power                                                              6 / [3 * (25)]

Invert power                                                                  6(25) / 3

Simplifying

Set up equation                                                            6(25) / 3

Simplify                                                                          150 / 3

Simplify (using common denominator)                        50 / 1

Rewrite in simplest form                                               =50

Answer: 50

50 I did this one yesterday

A store sells grass seed in small bags and large bags. The small bags have 7 pounds of seed for $27.93 and the large bags have 20 pounds of seed for $66.98. Which type of bag is the better buy? Explain your reasoning.

Answers

Answer:

The 20 pound bag is a better by for only $66.98

Step-by-step explanation:

The large bag is better because the small bag is $27.93 for 7 pounds 7x3=21,so 3x27.93=83.79 is $16.81 more than the cost for the large bag

hope this makes sense;)

If an object travels 1/20 of the length of the path in 3/4 seconds, how many seconds will it take to travel the whole, path?

Answers

Divide 3/4 which is 0.75 and then multiply that by 20 which is 15 Final answer:15

I need help if anyone could help me solve these problems that would be very helpful!

(I'll give brainliest if you can solve all of them!)
Please lmk which ones you've solved so I know which question it is. thanks!

Answers

Answer:Q9 is 12.2. Q10 is C. Q11 is C. Q12 Is 2.8. The level 3-4 thing the hight is 24.

Step-by-step explanation: a^2+b^2=c^2 pythagoras theorem or whatever. Hope this helped.

Maggie takes three electives: art, Spanish, and creative writing. She calculated the mean absolute deviation of the points she earned throughout the year in each class.

art: mean absolute deviation of 2.1

Spanish: mean absolute deviation of 0.8

creative writing: mean absolute deviation of 2.7

In which elective were her scores the most spread out?


art

creative writing

Spanish

Answers

Answer:  creative writing

Explanation:

MAD = mean absolute deviation

The larger the MAD, the more spread out the scores will be.

Therefore, Maggie has the most spread out scores in her creative writing class.

Data are collected about the amount of time, in minutes, each member of the lacrosse team spends practicing. How does a single outlier change the mean of the collected data?

A single outlier causes the value of the mean to move slightly toward the outlier.
A single outlier causes the value of the mean to move slightly away from the outlier.
A single outlier does not affect the value of the mean.
A single outlier doubles the value of the mean.

The data set shows the number of homework assignments required in math classes for a month:


22

23

23

21

18

4

17

15

23

20

24

15

25

16



Which of the following statements is true based on the data set?
There is one outlier that indicates an unusually large number of assignments required in that class.
There is one outlier that indicates an unusually small number of assignments required in that class.
There are two outliers that indicate an unusually large number of assignments required in those two classes.
There are two outliers that indicate an unusually small number of assignments required in those two classes.

Answers

Answer:

1. A single outlier causes the value of the mean to move slightly away from the outlier.

2.There is one outlier that indicates an unusually small number of assignments required in that class.

Step-by-step explanation:

Subtract rational expression


Please show steps to answer

Answers

Answer:

(2x)/((x-3)(x+1))-(5)/((x-3)(x+4))

If the side dimensions of two cubes are 8 inches and 12 inches, how many small cubes can fit in the larger one?

Answers

Answer:

3

Step-by-step explanation:

8^3 = 512

12^3 = 1728

1728/512 = 3.375

So, 3 cubes can fit

a cast member is selling balloons on main street. he has 4 princess balloon, 5 blue mickey balloons and 1 red mickey balloon. he sells 1 balloon and then another (no replacing). find the probability of selling one blue balloon followed by another blue balloon.

Answers

Answer:

hee-hee!

Step-by-step explanation:

We first have to find how many possible outcomes there are.

We find that out by seeing how many types of balloons are in total.

4 + 5 + 1 = 10

There are 10 possible outcomes.

We then see how many favorable outcomes there are.

There are 5 blue mickey balloons.

That means 5/10 or 1/2.

Then we subtract 1/10 from 5/10.

5/10 - 1/10 = 4/9

We lower the denominator by 1 because the total possible outcomes are also lowered by one.

The probability of the cast member selling another blue balloon after selling the first one is 4/9.

hope this helps :)

6-grade math best answer gets brainlyest

Answers

Answer:

It was 1.2 degrees Celsius at 7pm.

Step-by-step explanation:

The temperature was 1.2 and -5 represents five hours before midnight (12am).

Kehlani is making a table. All but one of the boards that she uses to make the table are 15/16 inches thick. Kehlani’s last board is 1 1/8 inches thick. By how much does Kehlani need to reduce the thickness of her last board to match the other boards?

Answers

Answer:

3/16 of an inch

Step-by-step explanation:

1 1/8 of an inch is 1 2/16, which is also 18/16. 18/16-15/16 = 3/16.

What is the difference in length between the longest and shortest pieces of ribbon?

Answers

Answer: B

Step-by-step explanation: have a great day pls brainliest

can someone answer my questions

how do i do this! i need help fast!

Answers

The answer is irrational

Choose the number sentence whose product is 2.015.

Answers

Answer: you didn't put any number sentences but these all equal 2.015

2.015*1

1.0075*2

0.67166666*3

0.50375*4

0.403*5

0.3358333*6

0.28785714285714285714*7

0.251875*8

0.22388888*9

0.2015*10

Answer:

C

Step-by-step explanation:

you welcome don't know what other person was doing

sense the pic was blurry last time

Answers

To get 20% of something, you must divide it by 5 since 20*5=100
Anyway, since Jada's dog is 20% of it's adult weight, but currently weighing 9kg, we must multiply that by 5
9*5=45kg
Jada's dog's adult weight is 45kg
Hope it helped

An experiment involves flipping a coin three times.

The following tree diagram shows the possible outcomes for the experiment.


What is the probability of getting exactly 2 tails?

Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

2⋅2⋅2=8 possible combinations in total.

Step-by-step explanation:

would you mind helping please

Answers

Answer:

1) 4 packs of balloons

2) He played 2 rounds

3) She would watch 56 minutes per day

4) She would have 54 apps left

5) 8 x (9+8) = 136

6) 2 1/4 x 3 1/4 = 117/16 OR 7 5/16

Step-by-step explanation:

Good Luck and I hope that you pass!!! :D

(PLS HELP) Choices:
A. PS
B. RP
C. PT
D. TS

Answers

PS if you look at it PS looks just like it but above it

Answer:

The Only possible answer is PT or TP

Step-by-step explanation:

Since Perpendicular lines are lines that cross each other at a 90 Degree angle we need to find a line that falls at a 90 Degree angle to TR

will give brainliest!

Answers

Answer:

2 by3

Step-by-step explanation:

Answer: 5 over 4

Because I noticed that the other 3 fractions are proper fractions but this one is improper so does not belong Because the numerator is bigger than the demonator. So it is improper and different and does not belong . PLEASE GIVE BRAINLIEST

Answer please! Info is in the picture!

Answers

Answer:

Max:

Volume = 6 * 12 = 72 cubic inches

Tucker:

Volume = 7 * 10 = 70 cubic inches

72-70 = 2 cubic inches

Max's carton is 2 cubic inches larger

rate brainiest please

1. Classify each angle pair and indicate whether they are congruent or supplementary.

Answers

Answer:

1. congruent

3. supplementary

5. congruent

Some blocks are stacked as shown. If the face of each block is a square and each block represents one cubic unit, what is the surface area of the figure formed by the blocks?
A. 30 square units
B. 28 square units
C. 24 square units
D. 21 square units

Answers

Answer:

B

Step-by-step explanation:

i did the quiz.

28 square units

If you count all the cubes sides of each cube you will get 28

Determine which is the better buy.
9 straps for ​$10.25 or 30 straps for ​$66.00

Answers

Answer:

9 straps for $10.25

Step-by-step explanation:

Price rate

9 straps for $10.25 = 10.25/9 = $1.14 per strap30 straps for $66 = 66/30 = $2.20 per strap

Better buy

9 straps for $10.25Less cost per strapbetter buy

Answer:

9 straps

Step-by-step explanation:

If you're selling 30 straps for $66 then you get a 2.2 per each

But 9 straps for $10.25 will get 1.139

So, the value that's smaller which is 9 straps for $1.139 is a better buy

A tailor uses
75
yards of material to make
30
sweatshirts of the same size. At this rate, how much material is needed to make
1
sweatshirt?

Answers

Answer:

2.5 yards

Step-by-step explanation:

75÷30=2.5 yards

Hope this helps!

The answers is 2.5 to make 1 sweatshirt.

what is 5 to the power of 99999999

Answers

Answer:

the answer  is infinity

Step-by-step explanation:

Hey hun!!! the answer is infinity! Have an amazing day!

Question 1
Indicate the answer choice that best completes the statement or answers the question.

Answers

B. 50 degrees. Angles 9 and 5 are congruent or equal. The angle of a straight line is 180 degrees so angle 5 plus angle 4 equals 180 degrees. So just do 180-130 which equals 50.
The answer is 50 because it’s 50

A person on a moving sidewalk travels 6 feet in 3 seconds. The moving sidewalk has a length of 80 feet. How long will it take to move from one end to the other?

Answers

Answer:

40.5 seconds

Step-by-step explanation:

Find the area of the shaded region. Use 3.14 for \piπ. Round your answer to the nearest hundredth. help me asap

Answers

Answer:

960 ft

Step-by-step explanation:

A Square=L²

              =(8)²              

              = 64 FT

A Circle= [tex]\pi[/tex]r²

            =r=64/2=32

            =[tex]\pi[/tex](32)²

            =1024[tex]\pi[/tex]

A Shape=

             =A square- A circle

            = 64-1024[tex]\pi[/tex]

           = 960 FT

Lin's family needs to travel 325 miles to reach her grandmother's house.

1. At 26 miles, what percentage of the trip’s distance have they completed?


%

2. How far have they traveled when they have completed 72% of the trip’s distance?


miles

3. At 377 miles, what percentage of the trip’s distance have they completed?

Answers

1: 8%

2: 262.5 (rounded 263)

3: 116%

Answer:

1. 8%

2. 262. 5 ( rounded 264)

3. 116%

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