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
Write the equation of the line in slope-intercept form.
Natasha_Volkova [10]

Answer:

y=-1/2x-2

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Rewrite the expression with rational exponents as a radical expression.
SpyIntel [72]
I think it’s the last one but I’m not sure. Let me know if you get it right.
3 0
1 year ago
Can someone help me please
gladu [14]

Answer:

to find how many sales Ross made in a day divide 27 by 3 and to find Mona's divide 49 by 7 since there is 7 days in a week

Step-by-step explanation:

27/3 = 9 so Ross made 9 sales in a day

49/7 = 7 so Mona made 7 sales in a day

9>7

therefore Ross made more sales

6 0
2 years ago
Miguel deposited $1,200 into an account that pays simple interest at an annual rate of 4%. What is the value of his initial depo
Angelina_Jolie [31]

Answer:

end of third year = 1,200*(1.02)^3  = 1,273.45 plus

end of second year = 1,200*(1.02)^2 = 1,248.48  plus

end of first year = 1,200*(1.02) = 1,224.00

Total = 3,745.9

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
How did find nth term of an arithmetic sequence ?​
qaws [65]
You hit the woah with a song on
3 0
3 years ago
Other questions:
  • Burke Middle School has an $80 budget to stock the concession stand with drinks at the spring play. Each drink costs the school
    7·1 answer
  • Graph the function y=2-VX+1. What is the missing x-coordinate for the point (x,- 1.24), to the nearest tenth?
    11·2 answers
  • Please answer ASAP........
    13·1 answer
  • 2 times 8 dividedn by one
    9·2 answers
  • A line passes through the point (-3, -3) and has a slope of ½​
    12·1 answer
  • Johns weight exceeds 100 lbs. by x. Johns weight would be represented my
    10·2 answers
  • At an electronics store, the price of a tablet is marked down 15% to $212.50
    11·2 answers
  • What is 3/8 + 2/3 = ______ + 3/8 help now asap pls
    12·2 answers
  • What is 3.116372 rounded to the nearest hundred thousandths place?
    13·2 answers
  • HELP PLS BRAINLIEST IF POSSIBBLE<br> factor each polynomial completely a^2-ab-8a+8a brainly
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!