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
Ratling [72]
3 years ago
15

Simplify the expression given below. x+2/X^3+2x^2-9x-18 divided by 3x +1/x^2-9

Mathematics
1 answer:
ratelena [41]3 years ago
8 0
Answer:

\frac{1}{3x+1}

Explanation:

1) Expression given:

\frac{ \frac{x+2}{x^3+2x^2-9x-18} }{ \frac{3x+1}{x^2-9} }

2) Factor the denominator of the first fraction:

x^3+2x^2-9x-18=(x^3+2x^2)-(9x+18)=x^2(x+2)-9(x+2)=

(x+2)(x^2-9)

3) Rewrite the expression

\frac{ \frac{x+2}{(x+2)(x^2-9)} }{ \frac{3x+1}{x^2-9} }

4) In the upper fraction x+2 in the numerator cancels out with x + 2 in the denominator.

\frac{ \frac{1}{x^2-9} }{ \frac{3x+1}{x^2-9} }

5) x² - 9 in both denominators cancel out each other, and the final result is:

\frac{1}{3x+1}
You might be interested in
Equivalent expression -(-5.6m-n+9.9
anygoal [31]

Answer:

5.6m + n - 9.9

Step-by-step explanation:

-(-5.6m-n+9.9)

5.6m + n - 9.9

6 0
3 years ago
This is for law of exponent<br> 9m to the power of 3
Ray Of Light [21]

Answer:

9 to the 3 power is 729

Step-by-step explanation:

5 0
3 years ago
Will give the crown if you it right
Korolek [52]

Answer:

Park A

Step-by-step explanation:

I just took the test and it was right. Option D was incorrect. :\

8 0
4 years ago
Y-9=1/4 (x-7) what is the slope of this line?
Airida [17]

Answer:

1/4x

Step-by-step explanation:

Y - 9= 1/4(x - 7)

y - 9 = 1/4x - 1.75

  + 9         + 9

y = 1/4x + 7.25


Hope this helps you!!! :)

3 0
3 years ago
Five times a complement of an angle exceeds twice its supplement by 9. Find the angle
kkurt [141]

Answer:

33

Step-by-step explanation:

the answer is in the above image

4 0
3 years ago
Other questions:
  • four students have to give a speech in class today. In how many different orders can they give their speeches?
    11·2 answers
  • The product of eight minus a number and seven equals forty when decreased by five. Which equation represents the sentence?
    6·1 answer
  • Given that (1,-8) is on the graph of f(x), find the corresponding point for the function 1/2 f(x)
    9·1 answer
  • What’s 4/10i simply ?
    9·2 answers
  • HELP ASAP FOR BRAINLIEST: The time required to finish a test is normally distributed with a mean of 60 minutes and a standard de
    13·1 answer
  • Use the quadratic formula to solve x2 + 9x + 10 = 0.<br> What are the solutions to the equation?
    5·2 answers
  • Th earth is approximately 6,000,000,000,000,000,000,000,000 kilograms
    6·2 answers
  • The first triangle is dilated to form the second triangle.
    11·1 answer
  • What is the monthly interest payment for an
    9·1 answer
  • 80 POINTSSSSS
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!