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
Mazyrski [523]
2 years ago
12

Not good with factoring could use a hand.

Mathematics
1 answer:
MrRa [10]2 years ago
6 0

The only factoring you need to do is already done for you:

<em>x</em>² + <em>x</em> - 12 = (<em>x</em> + 4) (<em>x</em> - 3)

What you're asked to do is decompose

(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12)

into partial fractions, i.e. find <em>a</em> and <em>b</em> such that

(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = <em>a</em> / (<em>x</em> + 4) + <em>b</em> / (<em>x</em> - 3)

Multiply both sides by <em>x</em>² + <em>x</em> - 12 :

3<em>x</em> - 4 = <em>a</em> (<em>x</em> - 3) + <em>b</em> (<em>x</em> + 4)

3<em>x</em> - 4 = (<em>a</em> + <em>b</em>) <em>x</em> + (-3<em>a</em> + 4<em>b</em>)

So we have

<em>a</em> + <em>b</em> = 3

-3<em>a</em> + 4<em>b</em> = -4

and solving this system gives

<em>a</em> = 16/7 and <em>b</em> = 5/7

so you should submit the numbers in bold:

(3<em>x</em> - 4) / (<em>x</em>² + <em>x</em> - 12) = 16 / (7 (<em>x</em> + 4)) + 5 / (7 (<em>x</em> - 3))

You might be interested in
How did ruby bridges son died
torisob [31]
He got shot at the new orland street corner
5 0
3 years ago
Read 2 more answers
What us problems 6 and 7?<br>​
Sunny_sXe [5.5K]

Answer:

y=(x+7)2(2x+1)(x−4)

y=2x4+21x3−4x2−399x−196

Step-by-step explanation:

8 0
3 years ago
What are the 1st 100 digits of Pi rounded to 100, then divided by 2?
pochemuha
35 50 65 I have to type more because it doesn’t let me answer if I don’t
7 0
3 years ago
A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to have enough space in
GrogVix [38]

Answer:

fdwef

Step-by-step explanation:

4 0
3 years ago
Find the midpoint between the points (7, -2) and (-4, 2). Write your answer in the proper form using parentheses
Elan Coil [88]

Answer:

( 1.5, 0)

Step-by-step explanation:

1. Find the coordinates ; in this case (7,-2) and (-4, 2)

2. Plug it into the formula (x1 + x2 ÷ 2 ) , (y1 + y2 ÷ 2)

3. ( 7 +  -4 ÷2) = 1.5    And    ( -2 + 2 ÷ 2) = 0

4. Therefore, the midpoint is ( 1.5, 0 )

                                         

3 0
3 years ago
Other questions:
  • Elli’s age in 10 years will be the same as Peggy’s age is now. Five years from now, Peggy’s age will be twice Elli’s age. What a
    12·2 answers
  • Farrah’s math grade average is 93.3¯%. How can you represent this repeating decimal as a fraction?
    6·1 answer
  • Please help !!!!!!!
    7·1 answer
  • 20-4 x(-6)= steps to solve
    13·1 answer
  • Is 0.3 greater that 0.15
    7·2 answers
  • Could anyone help with this, thanks !
    9·2 answers
  • Which expressions are equivalent to 2 to the power of 6? Choose ALL that apply
    10·1 answer
  • G − 334 = –234<br><br> solve for g
    9·2 answers
  • Find the distance between (6,3) and, (6,-5). BRUH IT DIDNT EVEN GIVE ME A CHART??!?!! who ever answer ill give 15 points pleasee
    13·2 answers
  • If you think you know the answers to this please let me know because I’ve been stuck on this for so long
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!