What is the partial fraction decomposition in terms of X? Review the work showing the first few steps in writing a partial fraction decomposition. 6 O + 121-25 B 2.x - 3 А + 2-3 (21 - 3)² 412-12: +9 (2x - 3) 6 43 - 12x - 25 = A(2x - 3) + B 2.x - 3 (2:- 3) 12x - 25 = 2Ax - 3A + B 6 7 + 2x - 3 (2x - 3)2 7 2x - 3 (2,-3)
Answers
After partial fraction decomposition the correct expression we get,
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex]
Hence option fourth is correct.
Partial fractions is a technique used in mathematics to decompose a rational function into simpler fractions.
It involves breaking down a rational function with a denominator of a higher degree into a sum of fractions with simpler denominators.
The given expression is,
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A}{2x-3} + \frac{B}{(2x-3)^2}[/tex]
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A(2x-3) + B}{4x^2 - 12 x + 9}[/tex] [since (a-b) = a² + b² -2ab]
Simplifying we get
⇒ 12x - 25 = A(2x - 3) + B
⇒ 12x - 25 = 2Ax + (B - 3A)
Comparing the coefficients we get
2A = 12
⇒ A = 6
And B - 3A = -25
Put the value of A we get
B = -7
Hence,
After substituting the values of A and B in the given expression we get
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex].
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Related Questions
The perimeter of a regular hexagon is 24x + 48. Which expression below can represent the
length of one side?
А 3x + 6
B 6x + 12
c 4x + 8
D 8x + 16
Answers
Answer:
I believe it would be D, sorry if I didn't get it right!
Step-by-step explanation:
These numbers are common multiples of ________.
6, 12, 18, 36
A) 2 and 4
B) 2 and 3
C) 3 and 4
D) 4 and 6
Answers
From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.
What are common multiples?
Common multiples are multiples that two or more numbers have in common. In other words, common multiples are numbers that are multiples of two or more given numbers.
To find the common multiples of 6, 12, 18, and 36, we can start by finding the prime factorization of each number:
6 = 2 x 3
12 = [tex]2^2[/tex] x 3
18 = 2 x [tex]3^2[/tex]
36 = [tex]2^2[/tex] x [tex]3^2[/tex]
To find the common multiples, we need to list the multiples of the largest number, which is 36, and check which ones are also multiples of the other numbers:
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, ...
Therefore, From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.
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5. What method can be use to prove the triangles below are congruent?
(look at photo for answer options)
Answers
Answer:
Congruent by HL
Step-by-step explanation:
I know this, im doing it in integrated math
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
16m - (5 + 9m) which one is it
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. 16m - 5 - 9m
Step-by-step explanation:
The "-" outside of the parentheses also can be interpreted as -1.
So multiply -1 with 5 and 9m within the parentheses.
That gets you 16m - 5 - 9m.
Find the value of x.
Answers
Answer:
66
Step-by-step explanation:
subtract each external angle by 180 to find the interior angle.
Since you know that all of the interior angles add up to 540 because 180(n-2)
with n is how many sides in the polygon
so 180(5-2)=540
now take each value and subtract it by 180
180-(45)=135
180-(40)=140
180-(x)=180-x
180-(77)=103
180-(2x)=180-2x
135+140+180-x+103+180-2x=540
738-3x=540
x=66
hope that helps :)
Please give brainliest
Help? Please? Thank you!
Answers
Answer:
independent: miles
dependent: minutes/hours
Step-by-step explanation:
can I see the other options for the rest?
There are 42 students in a class.
Each student walks to school or cycles to school or gets the bus to school.
There are 23 girls in the class.
10 of the girls walk to school.
6 of the boys cycle to school.
7 of the 11 students who get the bus to school are boys.
Find the number of these students who walk to school.
Your final line must say, Number who walk to school = ...
Answers
Answer:
15 students walk to school
Step-by-step explanation:
42 - total students
42 - 23 = 19
----
23 girl students
19 male students
----
19 - 6 = 13
13 - 2 = 11
--
11 - 7 = 3
3 + 2 = 5
--
10 girls walk to school
5 boys walk to school
--
10 + 5 = 15
please please complete it
Answers
Answer:
1. 14
2. 11
3. 19.5
4. 16
5. 76
6. 10
7. 2.5
8. 4.5
9. Mean: 10, Median: 9, Mode: 7
10. Mean: 6, Median: 7, Mode: 8,5
11. Mean: 10, Median: 11.5, Mode: 12
Step-by-step explanation:
Here is an expression: 4•3^x
a. Evaluate the expression when x = 2
b. Evaluate the expression when x = 4.
Answers
Answer:
First one is 36 and second one is 324!!!
The cost of 3 quarts of milk is $6.75. How many quarts can you buy with $20.25?
Answers
Explanation: 20.25/6.75 = 3 x 3 = 9
The science club has five female and five male students. The club will randomly select two people to compete in the upcoming science competition.
What is the probability that both people chosen are females?
StartFraction 1 Over 90 EndFraction
One-fifth
Two-ninths
One-fourth
Answers
Answer:
Step-by-step explanation:
(5/10)(4/9)=20/90=2/9
Two-ninths
Answer:
2/9
Step-by-step explanation:
I just answered it on edg.
PLEASEEEE HELP !!!!!!!!!!!!!!!!! Abanoub is using a machine to drill for oil that is 535 feet under the ground. The drill he is using is drilling at a rate of -35 feet per hour. How long did it take him to reach the oil? a 15.28 Hours b - 15.28 Hours c 18,725 Hours d -18,725 Hours
Answers
Answer:
a) 15.28 hours
Step-by-step explanation:
535/-35
≈-15.28
but time is always positive so it would take him 15.28 hours
pls help ill give brainliest to the PERSON WHO GETS IT RIGHT
Answers
Answer:
C) [tex]s\geq 5[/tex]
Step-by-step explanation:
The phrase "at least", represents the greater than or equal to sign. Only Option C shows this sign, so it's correct.
Hope it helps!
May someone please help me with this :)
Answers
= 13
The area = 3.7 * 2.8 = 10.36
2. Perimeter = 11.2
Area = half base times height
2.6 * 1.5 = 3.9 squared
Find the 11th term of the geometric sequence 6, -18, 54,
Answers
Answer:
354294
Step-by-step explanation:
a₁ = 6 = 6 * (-3)⁰
a₂ = -18 = 6 * (-3)¹
a₃ = 54 = -18 * (-3) = 6 * (-3)²
a₁₁ = 6 * (-3)¹⁰ = 354294
PLEEEASE HELP ME, QUICK!!!! ITS WORTH 20 POINTS!!!
tell me if the statement below is sometimes, always, or never true. justify your reasoning, (the Expressions x - 3 + y -3 represent the same value.)
Answers
Answer:
Sometimes true. It may be true at times if x or y equal each other, but if they do not equal each other it is not true
Step-by-step explanation:
We are given two expressions: x -3 and y - 3
Here x and y are two different variables.
These expressions are equal, when the value of x and the value of y are equal.
x - 3 = y -3 if x = y.
Therefore, the two expressions have the same value in sometimes.
That is, when x = y, then the value of two expressions are the same.
Example.
If x = 2 and y = 2, then
x - 3 = y - 3
2 - 3 = 2 - 3
-1 = -1
If they have different values, for x = 2 and y = 3
x - 3 = y - 3
2 - 3 = 3 -3
-1 = 0
Which is not true.
Therefore, the answer is sometimes.
State the null and alternative hypothesis: The average score of 40 high school basketball games is less than 26
Answers
Answer:
[tex]H_o:\mu = 26[/tex]
[tex]H_a:\mu < 26[/tex]
Step-by-step explanation:
Given
Average score is less than 26
Required
Determine the null and alternate hypothesis
Since the average is said to be less than 26; that represents the alternate hypothesis.
The null hypothesis will be:
[tex]Average = 26[/tex]
So, we have:
[tex]H_o:\mu = 26[/tex]
And the alternate hypothesis
[tex]H_a:\mu < 26[/tex]
Somebody help ASAP hurry
Answers
Answer:
540 divided by 9
Over estimated
Please mark as brainliest!
Overestimated
Thanks!
help with both please
Answers
Answer:
Step-by-step explanation:
Answer:b)true a)true
Step-by-step explanation:
Which measurement is the same length as 1 meter
Answers
Answer:
3 feet
Step-by-step explanation:
From the option available the measurement 1 meter is equal to 100 centimeters.
What is unit conversion?The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
given the measurement is 1 meter
1 meter is equal to 100 centimeters
From unit conversion:
1 meter is also equal to 3.2808 feet
1 meter is also equal to 39.3701 inch
1 meter is also equal to 1000 millimeters
1 meter is also equal to 1.093 yards.
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Complete question:
A principal wants to know if students at a particular high school are in favor of a new dress code at their school. The principal is not able to ask the opinion of every student at the school, so she needs to select an appropriate sample of the students to represent the high school.
Select which sample of students the principal should choose.
A
Students randomly selected from a list of all students at the school.
B
Students sitting at randomly selected tables in the library.
C
Students she selects from the hallway between classes.
D
Students selected by the teachers.
Answers
Answer: i would say D but i have no idea, it makes the most sence to me
Six friends share a 15 ounce bag of candy. Between what two whole numbers of ounces will each person get?
Answers
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that six friends share a 15 ounce bag of candy. The number of ounce gotten by each friend will be:
= 15/6
= 2 1/2 ounces
We can then deduce that 2 1/2 is between 2 ounces and 3 ounces
Miss Penny inherits £1040
she decides to save some of the money and spend the rest
the ratio of savings to spending money is 5:8
how much does she save and how much does she spend
Answers
She spends £640
Please help I’ll give brainliest if correct
Answers
Answer:
(-1, -13) is the correct answer
the product of two consecutive integers is 5 more than three times the larger integer. Find the larger integer. please help!
Answers
Answer:
x = 5 or -1
Step-by-step explanation:
let larger integer be: x
the smaller integer is: x-1
(x)(x-1)=5+3(x)
x^2-x-5-3x=0
x^2-4x-5=0
x = 5 or -1
Use the line plot below to determine the number of times less than 14 pieces of trash were collected at recess. A. 0 B. 5 C. 6 D. 9
Answers
Answer:
b
Step-by-step explanation:
because i helped your welcome
A student carries out a survey of favourite colours. Can she find the average colour? Give a reason for your answer.
Answers
Answer:
Yes
Step-by-step explanation:
She can because you can find the average of something by at least having 2 numbers and since its a survey there's more then 2 people so yes is the right answer.
If a bank account doubles in size every 5 years, then by what percent does it grow after only 3 years?
Answers
Answer:
1.516
Step-by-step explanation:
A Person Places Rs 500 in a Accout that is intrest compounded continuously Assuming no additional deposits or withdrawals, How much will be in the Account After seven years If the interest rate is Constant 8.5 percent for the first four year and a constant 9.25 percent for the last three years. So you get The percent 1.516
which inequality is true if p = 3.4
Answers
work out
a. 1 (meaning whole number) 1/5 + 3 (whole number) 2/5
b. 4 (whole number) 1/2 - 1 (whole number) 1/3
Answers
Answer:
4
Step-by-step explanation:
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