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sergey [27]
3 years ago
11

What is the of A in a partial fraction decomposition below?

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

Answer:

3

Step-by-step explanation:

(8x + 28) / ((x − 1) (x + 2) (x + 3)) = A / (x − 1) + B / (x + 2) + C / (x + 3)

Multiply both sides by (x − 1) (x + 2) (x + 3).

8x + 28 = A (x + 2) (x + 3) + B (x − 1) (x + 3) + C (x − 1) (x + 2)

If x = 1:

8 + 28 = A (3) (4)

36 = 12A

A = 3

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1 and 2 are complementary angles. 1 and 3 are vertical angles. If
Marizza181 [45]

If angle 1 and angle 2 are <u>complementary, </u>then they add up to 90 degrees. We are given that angle 2 equals 52 degrees.

So we subtract and get our answer:

38

That's NOT the final answer.

The next step is:

Angle 1 and angle 3 are vertical angles.

Vertical angles are congruent.

So if angle 1 is 38, then angle 3 is also 38.

Now, supplementary angles add up to 180 degrees.

So that's the answer:

180-38=142

142 is the supplement of angle 3.

Hope it helps! :)

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8 0
2 years ago
Cheyenne's car is in the shop, so she needs to rent a car for 4 days. The cost of a rental car is $24.99 per day, and she will b
GarryVolchara [31]

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Step-by-step explanation:

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6 0
3 years ago
A group of 40 children attend a baseball game. Each child received either a hotdog or a bag of popcorn. Hotdogs were $2.25 and p
lions [1.4K]

Answer:

  • 27 hot dogs
  • 13 bags of popcorn

Step-by-step explanation:

Had all received popcorn, the bill would have been 40×$1.75 = $70. The bill was $13.50 more than that. Each hot dog purchased in place of popcorn adds $0.50 to the bill, so the number of hot dogs must be ...

  $13.50/$0.50 = 27

Of course, the remainder of the 40 items were popcorn, so 13 bags of popcorn.

27 hot dogs and 13 bags of popcorn were purchased.

8 0
3 years ago
a student says that if 5x^2 = 20, then x must be equal to 2. do u agre or disagree with the student? justify your answer.​
inna [77]

Answer:

The student is correct.

Step-by-step explanation:

Given that 5x² = 20:

It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:

5x² = 20

5(2)² = 20

5(4) = 20

20 = 20

Therefore, the student is correct that x = 2.

7 0
2 years ago
How to factor <br> 49y^{2}-9x^{2}
lorasvet [3.4K]

Answer:

(7y + 3x)(7y - 3x)

Step-by-step explanation:

a² - b² = (a + b)(a - b)

49y² - 9x² = (7y)² - (3x)²                   {a = 7y ; b - 3x}

               = (7y + 3x)(7y - 3x)

7 0
2 years ago
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