1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alenkasestr [34]
2 years ago
8

What is the simplified form of x plus 4 over x squared minus 3x minus 10⋅x minus 3 over x squared plus x minus 12? (6 points)

Mathematics
1 answer:
melomori [17]2 years ago
3 0

Answer:

The simplified form is 1 over the quantity x plus 2 times the quantity

x minus 5 ⇒ 1/(x+2)(x-5) ⇒ last answer

Step-by-step explanation:

* Lets write the product of the two fraction

∵ \frac{x+4}{x^{2}-3x-10} *\frac{x-3}{x^{2}+x-12}

- At first factorize the denominators

# x² - 3x - 10

∵ x² = x × x ⇒ 1st term in the 1st bracket and 1st term in the

  2nd bracket

∵ -10 = 2 × -5 ⇒ 2nd term in the 1st bracket and 2nd term in the

  2nd bracket

∵ x × - 5 = -5x ⇒ ext-reams

∵ x × 2 = 2x ⇒ means

∵ 2x + -5x = -3x ⇒ middle term

∴ x² - 3x - 10 = (x + 2)(x - 5)

# x² + x - 12

∵ x² = x × x ⇒ 1st term in the 1st bracket and 1st term in the

  2nd bracket

∵ -12 = -3 × 4 ⇒ 2nd term in the 1st bracket and 2nd term in the

  2nd bracket

∵ x × 4 = 4x ⇒ ext-reams

∵ x × -3 = -3x ⇒ means

∵ 4x + -3x = x ⇒ middle term

∴ x² + x - 12 = (x - 3)(x + 4)

* Lets write the fractions after factorization

∴ \frac{x+4}{(x+2)(x-5)}*\frac{x-3}{(x-3)(x+4)}

- lets simplify the fractions by cancel (x - 3) up with (x - 3) down

 and cancel(x + 4) up with (x + 4) down

∴ \frac{1}{(x+2)(x-5)}*1=\frac{1}{(x+2)(x-5)}

* The simplified form is 1 over the quantity x plus 2 times the

  quantity x minus 5

You might be interested in
Paul has a stock portfolio worth $21,000. His home is valued at $365,000. His car is valued at $19,000. He owes $362,000 on his
kompoz [17]

Answer:

Paul has negative worth of $2,900

His statement is invalid as he did not consider all assets and debts in aggregate.

Step-by-step explanation:

The net worth of Paul is the total asset owned by him less the total of debts owed by him.

Paul's total assets can computed thus:

Stock portfolio                 $21,000

Home worth                     $365,000

Car worth                          $19,000

Total assets                       $405,000

Paul's total debts can be computed as follows:

Mortgage loan                     $362,000

Car loan                                $16,250

credit card debt                     $11,750

Student loan                          $17,900

Total debts                             $407,900

The amount of debts owed by Paul is $2,900($405,000-$407,900) more than his asset worth,which implies that Paul is indebted to the tune of $2,900,hence has negative worth.

6 0
3 years ago
The radius of a circle is 7 mm. What is the area.
Solnce55 [7]

Answer:

A= 153.94 mm

Step-by-step explanation:

A = πr²

A=π(7)²

A= 153.94 mm

7 0
2 years ago
Add: 3 1/5 + 2 2/3 PLEASE HURRY IM TIMED AND JUST PEASE HELP ME
Studentka2010 [4]

Answer:

5.86666666667

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the product.<br><br> (8-3z)(8+3z)
maks197457 [2]

Step-by-step explanation:

you can open the file I gave you now. the answer is there

7 0
2 years ago
Please Help!!!! Will Mark Brainliest!!!! Pleaseeee!! 20 Points!!!!
Alina [70]

Answer:

C

C

C

THE MONEY

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • If the product of two numbers is zero then at least one of the numbers must be zero
    15·1 answer
  • What is the height of a cone with a radius of 10 inches and a volume of 2199.11 in.³
    11·1 answer
  • The radius of the wheel of a bicycle is 14 inches. What is the distance that the bicycle covers after ten rotations? Use
    14·1 answer
  • The expression 100n2 – 1 is equivalent to
    15·1 answer
  • Josh plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m mon
    11·1 answer
  • Stella went shopping for a new camera. Sales tax where she lives is 6%. The price of the camera is $50. Find the total price inc
    11·2 answers
  • Helppppp me please heheheh
    11·2 answers
  • -3(x + 4y) + 2(x – 2y) + (3x -5y)​
    11·1 answer
  • Sarah and $600 per week and spends 15% of earnings on transportation how much does Sarah Spain and transportation every week pl
    15·2 answers
  • Find all missing angles m 1, m 2, m 3, and m 4
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!