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
Firlakuza [10]
3 years ago
13

F(x)=7x-17/x^2+6x+9 solve using fractional decomposition

Mathematics
1 answer:
Kazeer [188]3 years ago
8 0

Answer:

f(x) = 7/(x+3) -38/(x+3)²

Step-by-step explanation:

The denominator is a perfect square, so the decomposition to fractions will involve both a linear denominator and a quadratic denominator.

You can start with the form ...

... f(x) = B/(x+3) + A/(x+3)²

and write this sum as ...

... f(x) = (Bx +3B +A)/(x+3)²

Equating coefficients gives ...

... Bx = 7x . . . . . B = 7

... 3B +A = -17 . . . . the constant term

... 21 +A = -17 . . . . filling in the value of B

... A = -38 . . . . . . . subtract 21 to find A

Now, we know ...

... f(x) = 7/(x+3) -38/(x+3)²

You might be interested in
Efectua ( -69 ) - ( +58 ) + (-76 ) - ( -88 ) + ( -47 ) - ( -64 )
Liono4ka [1.6K]

Answer:

-98

Step-by-step explanation:

5 0
2 years ago
Evaluate the Expression<br> When X=2, 3x-1=
Alex777 [14]

Answer:

5

Step-by-step explanation:

If X equals 2, then 3 times X would be 6. This is because if a number and a variable are put together, you have to multiply them. 6-1 is 5.

4 0
3 years ago
Mark wrote the highest score he made on his new video game as the product of 70 X 6000. Use the Associative and Commutative Prop
sesenic [268]
I think in commutative properties of multiplication:
70 x 6000 = 70 x 6000
420,000   =  420,000

I don't know associative properties, only commutative properties. Sorry :(
3 0
3 years ago
Read 2 more answers
What is the second step in sketching the graph of a rational function?
Elodia [21]

Answer:

C. Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number

Step-by-step explanation:

Rational function: In mathematics, the term "rational function" is determined as any specific function that can be described through any "rational fraction", in other words, an algebraic fraction, involving both the denominator and the numerator are considered as polynomials. Therefore, the coefficients of specific polynomials are ought not to be in rational numbers and can be considered in the K field.

In the question above, the given statement represents option C is correct.

3 0
3 years ago
9x -2 &gt; 5 &lt; 3x<br><br> Find the third side?
Ksju [112]

The length of the third side is a-2. :))

5 0
2 years ago
Other questions:
  • What are the coordinates of the image of vertex D after a reflection across the x-axis?
    7·1 answer
  • I am not sure on this question can someone please explain and solve for me ASAP
    10·1 answer
  • Identify the zero that has a multiplicity greater than one:<br> f(x) = (x - 2)(x + 2)(x – 5)
    10·1 answer
  • I need help with percent and tax
    12·1 answer
  • A stack of 500 sheets of paper is 3 inches in height.What is the thicknrss of one sheet of paper,in inches?Answer with supportin
    14·1 answer
  • Harshdeep was playing basketball with his friends with seconds left before the game ended he attempted a 3 point shot the follow
    7·1 answer
  • Hellppppp assaapp!!!!!
    9·1 answer
  • The price of a pair of jeans was reduced from $20 to $15. By what
    8·1 answer
  • The following graph shows function f(x). <br> What is f(x) when x=3
    7·2 answers
  • What is 12x+3? please be specific with your answer
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!