Formulate a step-by-step explanation (in words) on how to simplify (x^2+2x-8)/(x^2+7x+12). Be sure to write a sentence for each step (use correct mathematical language). Which step did you find most difficult to explain and why?

Answers

Answer 1

Answer:

see attached

Step-by-step explanation:

kindly go through the work i have done. ask for any clarification

Formulate A Step-by-step Explanation (in Words) On How To Simplify (x^2+2x-8)/(x^2+7x+12). Be Sure To
Answer 2

Answer:

(x - 2) / (x + 3)

Step-by-step explanation:

We proceed to factor both polynomials:

x^2+2x-8 = (x + 4) * (x - 2) in numerator

x^2+7x+12 = (x + 4) * (x + 3)  in denominator

therefore, there is a common factor (x + 4) which can be cancelled in the original rational expression, resulting in the following rational expression:

(x^2+2x-8)/(x^2+7x+12) = (x - 2) / (x + 3)

All steps where pretty simple.


Related Questions

Type the expressions as radicals. q ^ (3/2)

Answers

Answer:

[tex]\sqrt{q^3}[/tex]

Step-by-step explanation:

0.392 is what percent of 28?
Pleasee

Answers

Answer:

28% of 0.392=0.10976

Step-by-step explanation:

1. We assume, that the number 0.392 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 0.392 is 100%, so we can write it down as 0.392=100%.

4. We know, that x is 28% of the output value, so we can write it down as x=28%.

5. Now we have two simple equations:

1) 0.392=100%

2) x=28%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

0.392/x=100%/28%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

Solution for what is 28% of 0.392

0.10976

Find the ratio of the following
Smita works in office for 6 hours and Kajal works for 8 hours in her office. Find the
ratio of their working hours.​

Answers

Answer:

6:8  = 3:4  

Step-by-step explanation:

Smita = 6

Kajal = 8

Ratio = 6:8

Simplified ratio = 3:4

I hope Im right!!

Answer:

the answer is 3:4 you put 6:8 and you check if you can simplify in this case you can so u simplify them by 2 and the final answer is 3:4

Can someone please help :!

Answers

Answer:

minimum

Step-by-step explanation:

3. A manufacturing process produces integrated circuit chips. Over the long run, the fraction of bad chips produced by the process is 20%. Thoroughly testing a chip to determine whether it is good or bad is rather expensive, so a cheaper test is used. All good chips will pass the test, but so will 6% of the bad chips. a) (4 points) What is the probability that a randomly chosen chip will pass the test

Answers

Answer:

0.812 = 81.2% probability that a randomly chosen chip will pass the test

Step-by-step explanation:

Over the long run, the fraction of bad chips produced by the process is 20%.

So 100 - 20 = 80% are good.

All good chips pass the test, while 6% of the bad chips(20%) also pass.

a) (4 points) What is the probability that a randomly chosen chip will pass the test

[tex]p = 0.8 + 0.06*0.2 = 0.812[/tex]

0.812 = 81.2% probability that a randomly chosen chip will pass the test

What is the discounted price of an item that originally costs $75.00 and is receiving at 20% discount?

Answers

Answer:

15 US dollars

Step-by-step explanation:

PLS HELP !!! I need this question done quick

Answers

Answer:

a. 17  b. 51

Step-by-step explanation:

Follow Order of Operations (PEMDAS):

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

a.  9 + 4² - (4-2) • 4

9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)

9 + 4² - 2 • 4 ––– 4² (exponents)

9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)

9 + 16 - 8 ––– 9 + 16 (addition)

25 - 8 ––– 25 - 8 (subtraction)

17

b. 15 - 4 + 2(7-3) • 5

15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)

~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.

15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)

15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*

11 + 40 ––– 11 + 40 (addition)

51

Answer:

(a. 7)  (b. 51)

Step-by-step explanation:

A.

[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]

B.

[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]

(I don't know the numerical values)

A doctor told a patient to drink 1.6 liters of water every day. About how many liters should the patient drink in 14 days?

Answers

Answer:

22.4

Step-by-step explanation:

hope it helps

Answer:

The correct answer is 22

Step-by-step explanation:

22.4 to the nearest whole number would be 22.

If a tree in a 1 in.: 2ft scale drawing is 10 inches tall, how tall is the actual tree?

Answers

Answer:

20 ft.

Step-by-step explanation:

You can solve this as a proportion:

[tex]\frac{1}{2} = \frac{10}{y}[/tex]

The y is equal to 20.

Hope it helps!

Hello! I really need help!
“Mary has a container filled with 20 oz of cereal. Each day she eats 4.5 oz of cereal.”

A. Write an expression to represent the amount of cereal left after x days.

B. How many ounces of cereal will she have after 4 days

Answers

Answer:

yh

Step-by-step explanation:

please help with this question!

Answers

Answer:

12

Step-by-step explanation:

pemdas so -9×-12 making it -3 and then -36 / -3 would be 12 ur final answer

During a high school basketball season, Casey successfully made 18 of the 25 free throws she attempted. What is her percentage of successful throws?

Answers

Answer:

72%

Step-by-step explanation:

Basket she made successfull = 18/25

Percentage = 18/25 x 100 = 72%

1 2/5 x 1 2/5 as a fraction mixed fraction

Answers

Answer:

1 24/25 or one and twenty-four twenty-fifths (in word form).

Step-by-step explanation:

This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.

1 2/5=7/5

7/5*7/5= 49/25 or 1 24/25.

Anyhow, the answer is 1 24/25

The simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

What are mixed fractions?

A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.

Given that a fraction [tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]

We need to simply it in a mixed fraction,

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

= 7/2 × 7/2

= 49 / 2

= [tex]24\frac{1}{2}[/tex]

Hence, the simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

Learn more about mixed fraction, click;

https://brainly.com/question/29019463

#SPJ2

How long will it take Anna to earn $51.00?

Answers

Answer:

Needs More Information

Step-by-step explanation:

This depends on how much Anna is earning a day. If she is earning a dollar a day, then it would take her 51 days for her to earn this money. Hope this helps! Have a good day :)

Sara is considering multiple job offers. She enjoys outdoor
activities like going to the beach. What non-income factor would
influence her decision?
Availability of benefits
LocationJob security
Working hours

Answers

The answer is location

Pre algebra 45.3n = -181.2 what is n?

Answers

Answer:

N= -4

Step-by-step explanation:

Just divide both sides by 45.3 to isolate the variable (n).

Hope this helped :)

The answer is n=-4

If this answer helped you then please mark it as brainliest so I can get to the next rank

How long will it take for $3000 to grow to $11,700 at an interest rate of 6.3% if the
interest is compounded continuously? Round the number of years to the nearest
hundredth.
A) 0.83
B) 2160.28
C) 21.60
D) 2.16

Answers

Answer:

Step-by-step explanation:

Using A=P(1+r/n)^nt

Where,

P = principal amount (the initial amount you borrow or deposit), in this case $3000

r = annual rate of interest (as a decimal), in this case 0.06

t = number of years the amount is deposited or borrowed for, in this case we don't know it

A = amount of money accumulated after n years, including interest, in this case $21000

n = number of times the interest is compounded per year, in this case 12

     This gives us 21,000=3,000(1+0.06/12)^12t

    After simplification, 7=(1.005)^12t

By taking the logarithm of both sides,

                            Log7=Log1.005^12t

                               12t = Log 7/Log 1.005

                               12t =390.1545

          This gives us 32.5months

Please help me!! ......

Answers

Answer:

b)480 cm^2

Step-by-step explanation:

perimeter=(16+12+20) cm

=48 cm

lateral surface area= perimeter × height

=48×10 =480 cm^2

Solve each single-step equation. Show your work. - 6 b + 2 < 56

Answers

Answer:

b > −9

Step-by-step explanation:

−6b+2<56

Step 1: Subtract 2 from both sides.

−6b+2−2<56−2

−6b<54

Step 2: Divide both sides by -6.

−6b  −6 < 54 −6

b >−9

Please help 20 points

Answers

could you insert the image of the doghouse / part d?

Help me pls pls pls

Answers

Oh gosh gosh oh yeah yeah oh okie oh gosh oh

Enter an answer in the response box that correctly fills in the blank.
Rebecca spent $5.95 on 7 cookies. Rebecca spent $
Round your answer to the nearest cent if necessary.
per cookie

Answers

Answer:

Step-by-step exRebecca spent $5.95 on 7 cookies. Rebecca spent $

Round your answer to the nearest cent if necessary.

per cookieplanation:

What is the Domain and Range of this graph?​

Answers

Answer:

domain: -3 ≤ x ≤ 3

range:  -3 ≤ y ≤ 3

Step-by-step explanation:

x can only be from -3 to +3. That is what domain means.

y can only be -3 to +3. That is what range means.

-100 = -t/5 - 4

Find t please! (also explain)​

Answers

Answer:

t = 480

Step-by-step explanation:

When we have equations with variables, we always want to isolate the variable, so lets get rid of 4 first.

Add 4 to both sides :

-96 = -t/5

Multiply both sides by the denominator :

-480 = -t

Divide both sides by negative 1 :

t = 480

Answer:

Step-by-step explanation:

-t/5 - 4 = -100

-t/5 = -96

t/5 = 96

t = 480

Can you PLEASE write a paragraph of how tragicomic functions work PLEASE!!!

Answers

They are used for making the sides of a triangle into a ratio. Sine is opposite of the angle divide by the hypotenuse, cosine is adjacent divided by the hypotenuse, and tangent is the opposite divided by the adjacent. Sine is the y-component, cosine is the x-component, and tangent is the ratio of sine/cosine or can also be considered the slope.

Match each percent with the corresponding decimal

0.5%
5%
50%

Answers

Answer:

well your first two are going to be 0.05 and the late one is 0.5

Step-by-step explanation:

hope this helps tell if wrong

1. 0.5% = .005

2. 5% = .05

3. 50% = .50

Just move the decimal to the left two times

Andre and Elena are reading the same book over the 1 summer. Andre says he has read of the book. Elena ! says she has read 20 more pages than Andre. If Elena is on page 55, how many pages are in the book? Lin has drawn a diagram to solve this question. Find her error..​

Answers

Answer: There are 175 pages in the book.

Step-by-step explanation:

If Elena read 20 more pages than Andre and she read 55 pages, to find out how much Andre read you have to:

55-20= the pages Andre read

55-20=35

Andre read 35 pages.

If Andre read 1/5 of the book, then to find how many pages are in the book, you have to multiply 35 x 5. (Multiply by the reciprocal)

35 x 5= 175

There are 175 pages in the book.

what is the value of -3 1/2 x 2 1/2​

Answers

Answer: −8  3 /4

Step-by-step explanation: (−3  1 /2 )(2  1 /2 )

(-7/2)(5/2)

−35 /4

−8  3 /4

$3.50 nail polish marked up to $8.75​

Answers

Answer:

I dont see the question but the price goes up 5.25 dollars more

Step-by-step explanation:

8.75-3.50

Answer:

150%

Step-by-step explanation:

Given equation: 3x-2y=6

How do you get the x-value of the x-intercept of the line?

Answers

Answer:

(2,0)

Step-by-step explanation:

Since you're finding the x-intercept, logically y will have to equal 0 in order for x to be at its intercept, therefore plugging in 0 for y in your equation will give you your x-intercept.

3x -2(0) = 6

3x = 6

x = 2

So the x=int for this equation would be at the point:

(2,0)

Hope this helps!

:)

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