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
Nataly [62]
3 years ago
5

Resolve (7x+19)/(x+1)(x+5) into partial fraction​

Business
1 answer:
Volgvan3 years ago
5 0

Answer:

\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{3}{x+1}+\dfrac{4}{x+5}

Explanation:

The given expression is  

\dfrac{7x+19}{(x+1)(x+5)}

We need to resolve this into partial fraction.

The form of the partial fraction decomposition is

\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{A}{x+1}+\dfrac{B}{x+5}        ...(1)

\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{A(x+5)+B(x+1)}{(x+1)(x+5)}

7x+19=Ax+5A+Bx+B

7x+19=(A+B)x+(5A+B)

On comparing both sides, we get

A+B=7      ...(2)

5A+B=19    ...(3)

Subtract (2) from (3), we get

4A=12

A=3

Put A=3 in (1).

3+B=7

B=4

Put A=3 and B=4 in (1).

\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{3}{x+1}+\dfrac{4}{x+5}

Therefore, \dfrac{7x+19}{(x+1)(x+5)}=\dfrac{3}{x+1}+\dfrac{4}{x+5} .

You might be interested in
Jeremy operates a business as a sole proprietorship. The proprietorship uses the cash method of accounting. He decides to incorp
ollegr [7]

Answer:

$13,000

Explanation:

Given that:

Jeremy operates a business as a sole proprietorship which uses a cash method of accounting. Now he is planning transfer them into a new corporation in  exchange for its stock.

The assets are :

$10,000 of accounts receivable with a zero​ basis

have a basis of​ $20,000  and an FMV of​ $40,000

Liabilities

payable of $12,000

The note payable on medical equipment is​ $7,000.

Therefore , Jeremy's basis for his stock is : $20,000 -$7,000 = $13,000

since  that will reduce the  basis by amount of the note payable.

The liabilities payable will be deducted and taken care of by the corporation.

8 0
3 years ago
Your project is split into two teams across two different continents. They understand the work to be completed, as well as commu
pentagon [3]

Answer:

Your project is split into two teams across two different continents. They understand the work to be completed, as well as communication processes. But they still often argue about how the work should be accomplished and who should make decisions. Given what you know, what is the most likely cause for these issues?

cultural differences

Explanation:

8 0
3 years ago
Which of the following skills are
Verizon [17]

Answer:

A. organization

Explanation:

a secretary writes the minutes during a meeting and also schedules the meetings for his boss therefore he/she must be organized for the work to be done efficiently.

7 0
3 years ago
Acton Corporation, which applies manufacturing overhead on the basis of machine-hours, has provided the following data for its m
STALIN [3.7K]

Answer:

Acton Corporation

The overhead for the year was:

$1,208 overapplied

Explanation:

a) Data and Calculations:

Estimated manufacturing overhead $361,260

Estimated machine-hours 2,700

Predetermined overhead rate = $361,260/2,700 = $13.38

Actual manufacturing overhead $354,700

Actual machine-hours 2,660

Overhead applied = Actual machine hours * Predetermined overhead rate

= 2,660 * $13.38

= $355,908

Overapplied overhead = Overhead applied minus Actual overhead

= $355,908 - $354,700

= $1,208

6 0
4 years ago
A key objective for a retail layout is to A. expose customers to​ high-margin items. B. balance​ low-cost storage with​ low-cost
BARSIC [14]

Answer:

A. expose customers to​ high-margin items.

Explanation:

Retail layout refers to how retailers organize the shelf space and allocate all the products in a way that allows them to influence customer decisions. The objectives of the layout include creating a good customer experience and allowing customers to access easily the products with higher margins to generate more value for the company. According to this, the answer is that a key objective for a retail layout is to expose customers to​ high-margin items.

8 0
3 years ago
Other questions:
  • Faced with incomplete information about the future national economic conditions, many employers have eschewed the tradition of h
    14·1 answer
  • Schopp Corporation makes a mechanical stuffed alligator that sings the Martian national anthem. The following information is ava
    5·1 answer
  • When will the Social Security fund dry up at its current level?
    11·1 answer
  • Southland Company is preparing a cash budget for August. The company has $17,000 cash at the beginning of August and anticipates
    13·1 answer
  • Suppose the economy is at a point below its physical production possibilities frontier but above its institutional production po
    12·1 answer
  • mprudential, Incorporated, has an unfunded pension liability of $750 million that must be paid in 25 years. To assess the value
    15·1 answer
  • An increase in the current account deficit will place ____ pressure on the home currency value, other things equal.
    14·1 answer
  • What is a business opportunity?
    14·1 answer
  • As a veterinarian technician, Alma offers to perform blood tests to hone her diagnostic skills, volunteers to organize the free
    5·1 answer
  • From a macroeconomic perspective, a payment made by a foreign firm to a u. S. Investor looks just like an:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!