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3 years ago

Express in partial fraction

Mathematics

2 answers:

aksik [14]3 years ago

8 0

Step-by-step explanation:

There is one possible way:

(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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Scorpion4ik [409]

Answer:

Just substitute "x" with "3".

Step-by-step explanation:

y = 2.4x + 3.1

y = 2.4(3) +3.1

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Answer: 10.3 minutes

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4 years ago

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The graph shows the production of cars per day at a factory during a certain period of time. What is the domain of this function

Debora [2.8K]

The correct answer is B)

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3 years ago

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What is this 4x+1 all over 3 =11

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$\frac{4x+1}{3} =11\\\\4x+1 = 33\\\\4x=32\\\\x=8$

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3 years ago

Gabriela buys a basket of coconuts on sale for $22 before tax. The sales tax is 12% What is the total price Gabriela pays for th

vazorg [7]

First you need to make a multiplier:
1-(12/100) = 0.78

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3 years ago

Refer to the previous exercise. The researchers wanted a sufficiently large sample to be able to estimate the probability of pre

Maru [420]

Answer:

The large sample n = 117.07

Step-by-step explanation:

Step(i):-

Given that the estimate error (M.E) = 0.08

The proportion (p) = 0.75

q =1-p = 1- 0.75 =0.25

Level of significance = 0.05

Z₀.₀₅ = 1.96≅ 2

Step(ii):-

The Marginal error is determined by

M.E = $\frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }$

$0.08 = \frac{2 X \sqrt{0.75(1-0.75)} }{\sqrt{n} }$

Cross multiplication , we get

$\sqrt{n} = \frac{2 X \sqrt{0.75(1-0.75)} }{0.08 }$

√n = $\frac{2 X0.4330}{0.08} = 10.825$

squaring on both sides , we get

n = 117.07

Final answer:-

The large sample n = 117.07

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3 years ago