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lidiya [134]
2 years ago
11

How to solve integration using a partial fraction?.

Mathematics
1 answer:
Setler79 [48]2 years ago
4 0
Multiplying both sides by the LCD (x + 2)(x - 1); -3x + 7 = A(x - 1) + B(x + 2). Substitute x - 1 = 0, or x = 1 we have -3 + 7 = 3B ;B = 4/3. Substitute x + 2 = 0, or x = -2 we have 6 + 7 = -3A ; A= -13/3. Example 2: Decompose the following rational expression into partial fractions
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Henry just got a job at the mall. His job pays an hourly rate of $10.25.
nadezda [96]

Answer:

A. He will have to work 40 hours to buy the headphones

B.  1200 ≤ 10.25x ≤ 2000    where x is # of hrs worked

He can work anywhere between 118 and 196 hours.

Step-by-step explanation:

A. Divide 399.95 by 10.25 to get 39.01 hours. But since you cant work 0.01 of an hour, you have to round up to the next hour

B. You want to make more than or equal to 1200, so put that in the inequality. You want to make less or equal to 2000, so you put that in the inequality. In the middle, you put 10.25 an hour multiplied by the number of hours, which is a variable.

To solve, I made 10.25x = 1200, and x equaled 117.07, which rounds up to 118 hours because you cant work a 0.07 of an hour. 118 hours is the low number of the spectrum.

To solve for the highest number on the spectrum, you do 10.25x = 2000, and x equals 195.12, but since you cant work 0.12 of an hour, it rounds up to 196 hours.

3 0
2 years ago
A store has apples on sale for $5.00 for 2 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $30.00
jeyben [28]
R $30.00. Since 1 pound = 16 ounces, so there are about apples in each pound. You can buy approximately apples for $3
<span>r $30.00? Complete the explanation. The cost per pound of the app</span>
8 0
3 years ago
Write <br> 23/25 as a percent
Firdavs [7]
3 / 25 = x / 100 

<span>23/25 = 0.92 = 92/100 </span>

<span>x = 92%</span>
8 0
4 years ago
Read 2 more answers
What is 1 + 1????????? ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
jekas [21]

Answer:

1+1=2

Step-by-step explanation:

If you have one cookie and add another cookie that's your second cookie.

6 0
3 years ago
A train leaves at 08.43 and arrives at its destination at 09.23. If the train travelled 73 km, what was it's average speed in km
serg [7]

Answer: 109.5 km/ hr

Step-by-step explanation:

Distance = 73 km

Time = 40 minutes = 40/60 = 2/3 hours

Speed = Distance / time

= 73 / 2/3

= 73 x 3/2 = 219 / 2 = 109.5 km/hr

5 0
4 years ago
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