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KengaRu [80]
2 years ago
12

Help please!! Will mark brainstest!!

Mathematics
1 answer:
cluponka [151]2 years ago
6 0
The correct answer is letter B
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Find the partial fraction decomposition of x-3/x(x^2+3)
Setler [38]

Answer:

-1 / x + (x + 1) / (x² + 3)

Step-by-step explanation:

(x − 3) / (x (x² + 3))

There are two factors in the denominator, so split this into two fractions with unknown numerators:

A / x + (Bx + C) / (x² + 3)

Combine back into one fraction:

(A (x² + 3) + (Bx + C) x) / (x (x² + 3))

Now equate this numerator with the original:

A (x² + 3) + (Bx + C) x = x − 3

Ax² + 3A + Bx² + Cx = x − 3

(A + B) x² + Cx + 3A = x − 3

Match the coefficients:

A + B = 0

C = 1

3A = -3

Solve:

A = -1

B = 1

C = 1

Therefore, the partial fraction decomposition is:

-1 / x + (x + 1) / (x² + 3)

Here's a graph showing that the two are the same:

desmos.com/calculator/hrxfnijewh

3 0
3 years ago
carmen y catalina comparan la nota que obtuvieron en su examen de nivelacion matematica y mencionan lo siguiente: nuestras notas
Rudiy27

Answer:

38?  

Step-by-step explanation:

7 0
3 years ago
Plzz answer fasttttt​
Alja [10]

Answer:

45 square centimeters.

Step-by-step explanation:

Length(L) = 9 cm

breadth (b) = 5 cm

Area of the rectangle

= L * b

= 9 * 5

= 45 cm²

Hope it will help :)

6 0
3 years ago
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Help! What is the slope of the line represented by the equation y = 4/5 x - 3?
lidiya [134]
C) 4/5
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3 years ago
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10 times as much as 2000 is 1/10 of
Alecsey [184]
2,000 is 1/10 of 20,000
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3 years ago
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