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Dominik [7]
3 years ago
12

Express in partial fraction

Mathematics
2 answers:
aksik [14]3 years ago
8 0

Step-by-step explanation:

<u>There is one possible way:</u>

  • (4x² - 47x + 141)/(x² + 13x + 40) =
  • (4x² + 4*13x + 4*40 - 47x - 52x - 160 + 141)/(x² + 13x + 40) =
  • 4  - (99x + 19)/(x² + 13x + 40)  

No further simplification

andrey2020 [161]3 years ago
8 0

Answer:

  • basic polynomial division.
  • put 4 in quotient,subtract with the dividend the multiplicative integer, then what in the remainder. stays a remainder.
  • partial fraction is the sum of polynomial, decomposition, with a simple denominator.
  • answer:  4+\frac{-99x-19}{x^2+13x+40}

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83/100 is 0.83 in fraction form 
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Customers arrat a service window according to a poisson process with an average of 0.2 per minute.
suter [353]

Answer:

Step-by-step explanation:

Given that customers arrat a service window according to a poisson process with an average of 0.2 per minute

=  12 per hour.

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b) Prob that there will be exactly three arrivals during a given 10-minute period

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3 years ago
Which expression has the same value as 37.4 - 54.9?
GrogVix [38]

Answer:

D

Step-by-step explanation:

In the original expression =  37.4 - 54.9 = -17.5

So, we have to solve all the equations but 1 of them has to equal to -17.5

A) -54.9 + (-37.4) = -92.3

   Remove parentheses

   = -54.9 - 37.4

Subtract the numbers

    -92.3

B) 54.9 - 37.4 = 17.5

Since 54.9 is greater than 37.4 just subtract normally

 4   14

  5  4.   9                < ------- Line up the decimal points like this

-  3  7.   4                <---------  Subtract the decimals

-----------------

   1   7   .    5       <---------- This is the final answer to B.                    

 

C)  37.4 - (- 54.9) = 92.3

   Change the sign to addition

        =37.4 + 54.9

  Add the numbers normally

  54.9

+ 37. 4

--------------

  92.3

D)  37.4 + (-54.9) = -17.5

   Change the sign to subtraction

      =    37.4 - 54.9

Subtract them normally (but as you can see you are subtracting a smaller number from a larger number so heres a trick that you can use switch the equation by putting the larger number in first like this....)

54.9 - 37.4 = 17.5 (REMEMBER the answer is not 17.5 because the original equation of D is reversed  37.4 - 54.9 so in this case your answer should be

- 17.5)

37.4 - 54.9 = -17.5

Your final answer is D because it matches 37.4 - 54.9.

Hope this helps!

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