decompose 6x/(x-4)(x+2) into partial fractions
Answers
Answer:
We can write the equation
Step-by-step explanation:
(x+4)
2
3x+15
=
(x+4)
2
3(x+4)+3
(x+4)
2
3(x+4)+3
=
(x+4)
3
+
(x+4)
2
3
So, there are total 2 terms.
Partial fraction decomposition of 6x/(x-4)(x+2) is 4/(x-4) + 2/(x+2)
What is partial fraction decomposition?In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction is an operation that consists of expressing the fraction as a sum of a polynomial and one or several fractions with a simpler denominator.
Given, expression
6x/(x-4)(x+2)
Creating fraction template using denominator (x-4)(x+2) :
6x/(x-4)(x+2) = A/(x-4) + B/(x+2) ------(1)
Multiplying with (x-4)(x+2) on both sides
6x(x-4)(x+2)/(x-4)(x+2) = A(x-4)(x+2)/(x-4) + B(x-4)(x+2)/(x+2)
6x = A(x+2) + B(x-4)
Roots of the denominator are x = 4, -2
Putting x = 4,
6(4) = A (4+2) + B (4 - 4)
24 = 6A
A = 4
Putting x = -2
6(-2) = A (-2+2) + B (-2 - 4)
-12 = -6B
B = 2
Substituting value of A and B in equation 1
6x/(x-4)(x+2) = 4/(x-4) + 2/(x+2)
Hence,
4/(x-4) + 2/(x+2)
is the partial fraction decomposition of 6x/(x-4)(x+2).
Learn more about partial fraction decomposition here:
https://brainly.com/question/29177355
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Related Questions
Which of the following numbers is written in scientific notation?
A. 17
B. 17 × 106
C. 3.734 × 10–14
D. 3.734
Answers
Answer:
i think is b
Step-by-step explanation:
Work out the size of angle m.
Answers
Answer:
78+25+61+55+64=283
360-283=77
180+77=257
If you add up all the provided angles you get 283 degrees
The remaining angle to get to 360 is 77 since 360-283=77
Answer: m=77
Hope this helped!
Help please help help
Answers
Answer:
3. 8
4. 6
5. 4
Step-by-step explanation:
3. 8 x 4 = 32
4. 6 x 9 = 54
5. 4 x 7 = 28
Answer:
Question 3: 8
Question 4: 6
Question 5: 4
Step-by-step explanation:
An easy way to do this in your head or on paper is just to count with the second number until you reach the first. For example in question 3 just take 4 and keep counting 4 more until you reach 32.
4, 8, 12, 16, 20, 24, 28, 32, (just kept counting 4 more)
Since it took 8 numbers to reach 32. The answer is 8.
If m(x)=3x^{2}-9x+1, what is m(1)?
A. -5
B. 1
C. 13
D. 4
Answers
Calculate the exponents: 3 x 1 - 9(1) +1
Multiply and Divide: 3 - 9(1) +1
Multiply and Divide x2: 3 - 9 +1
Answer is... -5
Because 3(1)^{2}-9(1)+1
⬇️
3^{2}-9+1
⬇️
9-9+1
⬇️
1
where will the lines 2x-3y=-1 and y=x-1 intersect
4,3
6,5
9,8
11,10
Answers
The answer is 3x-x+2=4
Please help!!
Complete each table
Y=1/2x+3
What is the solution to the system of equations?
Answers
Answer:
Solution of the system of equations will be (6, 6).
Step-by-step explanation:
Table for the first equation,
\(y=\frac{1}{2}x+3\)
x 0 2 4 6 8
y 3 4 5 6 7
(x, y) (0, 3) (2, 4) (4, 5) (6, 6) (8, 7)
We have got the values of y by substituting the values of x in the given equation for the table.
Similarly, for the other equation,
y = 2x - 6
x 0 2 4 6 8
y -6 -2 2 6 10
(x, y) (0, -6) (2, -2) (4, 2) (6, 6) (8, 10)
By analyzing both the tables we find (6, 6) is a common point in both the tables.
That represents the points of intersection of both the lines.
Therefore, solution of the system of equations will be (6, 6)
can some one help and explain how you got the answer anyone can earn brainlest
Answers
help with this topic pls thanks <)
Answers
Answer:
a. 66c per oz of cheese bought
b. 66x
Step-by-step explanation:
a. Looking at the graph you can see that the price of 1 oz of cheese is 66 cents. As the graph is a straight line it is seen that the price rises by 66 cents per oz bought.
b. We use the answer of 66 cents per oz of cheese and change the cents out for x, to be able to a y = mx + b equation and since it starts at 0 the b = 0.
I need help really bad please help!
.
Answers
I'm Just Guessing At The Possible Answers. Please post a picture of the drop-down answers...
1. Between 3 and 8
2. Well Distrubuted???
3. One Outlier (19.86)
YALLLLL HELP ON THIS ONE FAST PLEASEEEEE++++++++++
josh has 52 euros saved. In his savings, he only has banknotes of 5 euros and coins of 2 euros .How many banknotes and coins does he have in his savings?
Answers
Answer:
59 euros
Step-by-step explanation:
Josh has a total of banknotes and coins as 59 in his savings.
A method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Since Unitary method is a technique by which we find the value of a single unit from the value and the value of more than one unit from the value of a single unit.
We are given that Josh has 52 euros saved.
In his savings, we can see that he only has banknotes of 5 euros and coins of 2 euros.
Therefore, 52 euros he have
Then 52 + 5 notes + 2 coins
= 59
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
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Part A
The table shows the cost of 4 tickets at two different laser tag facilities.
Laser Tag Facility Cost ($)
LaserFun 25
Laser Tag & More 27
What equation can be used to model the total cost, y, for x tickets at Laser Tag & More? Write the equation in the form y=kx .
Part B
Fill in the blank question.
The total cost of 7 tickets at Laser Tag & More is $
.
Answers
Answer:
¯\_(ツ)_/¯
Step-by-step explanation:
¯\_(ツ)_/¯
27/4= $6.75 per ticket
y=6.75x
Part B:
Take the equation from part A and replace x with 7.
y=6.75(7)
y=47.25
The total cost is $47.25
Brainliest if you finish fast and simple and if correct!!!!!!!!!
1. The following scatter plot represents the relationship between a person's weight and the number of calories the person burns in one minute of jump roping. How many data points represent people weighing at least 125 pounds?
8
4
2
6
2. The following scatter plot represents the relationship between a person's weight and the number of calories the person burns in one minute of jump roping. Using the line of best fit, how many calories per minute could you expect a 100-pound person to burn while jump roping?
6
8
7
6.5
3. The following scatter plot represents the relationship between a person's weight and the number of calories the person burns in one minute of jump roping. Using the line of best fit, how much would a person weigh if the person was burning 10 calories per minute while jump roping?
75
150
100
125
The first question goes to the first picture shown. The last two go to the last picture.
Thank you!
Answers
Answer:
1. 8
2. 8 calories
3. 125 lb
Step-by-step explanation:
From inspection of the graphs
1. x ≥ 125 = 8
2. 8 calories
3. 125 lb
Mark the other user as brainliest!
how do I find the value of X
Answers
Step-by-step explanation:
okay so the total degrees of this graph 90° because it's a right angle. so I'm pretty sure you would subtract 4x from 90.
4x-90=x
add like terms( there is an understoon 1 when a variable is by itself) :
90=5x
divide 90 by 5:
18 = X
BRAINLIEST IF YOU ANSWER FAST AND 100 POINTS!? Both are two different answers.
1. G (7, 3), H (-1, 1), and I (-3, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are the coordinates of the image?
G '(7, -3), H '(-1, -1), I '(-3, -4)
G '(7, 3), H '(-1, -1), I '(-3, 4)
G '(7, 3), H '(-1, 1), I '(-3, -4)
G '(7, -3), H '(1, -1), I '(-3, -4)
2. A (2, 5), B (6, -3), and C (8, 0) are the coordinates of a triangle's vertices. If the triangle is reflected over the y-axis, what are the coordinates of the image?
A '(-2, -5), B '(-6, -3), C '(8, 0)
A '(-2, 5), B '(-6, 3), C '(-8, 0)
A '(-2, 5), B '(-6, -3), C '(-8, 0)
A '(2, -5), B '(6, 3), C '(8, 0)
Answers
Answer:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), hence
G(- 2, 1) → G'(- 2, - 1)
H(- 7, 4) → H'(- 7, - 4)
Solve for n.
–18.4 = 3.2(n + 3) + 0.8
please help!!
Answers
Answer: n= -9
Step-by-step explanation:
-18.4 = 3.2(n + 3) + 0.8
-18.4 = 3.2n + 9.6 + 0.8
-18.4 = 3.2n + 10.4
-28.8 = 3.2n
-9 = n
-18.4=3.2(n+3)+0.8
n=9
3/5x-4(1/8w)
simplify the Q on the top pls
Answers
Answer:
3/4 x -1
Step-by-step explanation:
sana makatulong
Answer:
3/5x - 4(1/8w) = 3/5x - 4(1/8)w = 3/5x - 1/2wA label is placed around a soup can during manufacturing. If the label is represented by the rectangle in the figure, how many square inches is the label? Answer in terms of π.
image of a net drawing of a cylinder is shown as two circles each with a radius labeled 4 inches and a rectangle with a height labeled 7.8 inches
94.4π square inches
32π square inches
30.1π square inches
62.4π square inche
Answers
Answer:D 62.4TT square inches
Step-by-step explanation:
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation:
Which statements prove the law of conservation of matter? (Select all that apply.)
water evaporating in the water cycle which is an open system
burning a piece of paper
sugar dissolving into water
cookie dough is baked into a cookie
Answers
Answer:
dissolving and burning
Step-by-step explanation:
those are both examples of mass
Answer:
It's all of them.
Step-by-step explanation:
I took the quiz.
help!! i'll give brainliest!!
Answers
Answer:
The answer is B&C but I'm not gonna give the answer its up to you to pick out if its B or C
Step-by-step explanation:
what is 3/6 x 1/6 in simplified form
Answers
Answer:
1/12
Step-by-step explanation:
Answer:
1/12 DECIMAL FORM 0.083 REPEATING
Step-by-step explanation:
THAT IS JUST WHAT I GOT
Sabrina read 9 pages out of the 27 pages in a chapter. Which of the following ratios is equivalent to the ratio of the pages Sabrina read to the total number of pages? options: 3/1 1:3 6:9 9/6
Answers
Answer:
1:3
Step-by-step explanation:
27÷9=3
Answer:
1/3
Step-by-step explanation:
9/27 divided by 9 = 1/3
PLS HELP!!!!!!!
Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.
Answers
Answer:
Its A and B
A.K.A
a.k.a The inequality is equivalent to -20.2 > 0, which is false. and The solution is 0 > y.
Answer:A and B
Step-by-step explanation:
You cannot divide by 0, it would be false.
No help needed this is for one person
Answers
Answer: ok thats cool
Step-by-step explanation:
use GCF and the Distributive for 34+51 Ez if you get it right you will get brillants
Answers
Answer:
85? this makes no sense
Step-by-step explanation:
Are They Proportional? Graphing (Additional Instructions in Photo)
Screenshot the following photo and !!SHOW ALL WORK!!
Please help ASAP read my profile picture so hopefully you can understand how much I need help!
Answers
Answer:
khgfcvkhgcgvkgvgvbbbbbbbbbbnnnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvbnbvbnbvbnbvbnbvbnbvnbvbnbvbnbvbn
Step-by-step explanation because khgfcvkhgcgvkgvgvbbbbbbbbbbnnnnnnnnnnnnnnnnnnnnnnnnnvvvvvvvvvvbnbvbnbvbnbvbnbvnbvnbvbnbvbnbvbn = mhgcmgfmgcvbnvmbnbmvmbvnbvmnbvmbv
What is the relationship between x and y?
Oy and x stay constant
Oy increases as x increases
Oy decreases as x increases
Oy stays constant as x increases
Answers
Please Help and Explain this like how do I calculate income tax and capital gain and investments
Answers
Answer: down below...
Step-by-step explanation:
Exercise 1:
Income = $83.465
Tax paid at 5.05% means, whatever your income is, you gotta pay 5.05% of it as a tax.
5.05% = \(\frac{5.05}{100}\)
\(\frac{5.05}{100}*$83.465\)
\(0.0505*$83.465\)
If you do the calculations it should give you a $4,214.9825 tax
"Income tax paid at 9.15%"
\(\frac{9.15}{100}*83.465\)
\(0.0915*83.465\)
The 9.15% tax = $7,637.0475
"Total income tax paid"
This will just be the sum of the two taxes.
$4,214.9825+$7,637.0475 = $11,852.03 (sum of taxes)
Exercise 2:
Purchase price = $347.000
Selling price = $863.000
As you can see, they purchased the property for $347.000 and sold it for $863.000 which made them a lot of money in profit :)
That's what the Difference is.
Difference = $863.000-$347.000
Difference = $516,000
I don't really understand what capital gains are, because I'm 13, but I suppose I gotta calculate 50% of the profit that the banker has made.
\(\frac{50}{100}*$516.000\)
\(\frac{5}{1}*$51.600\)
\(5*$51.600\)
"Capital gains" = $258,000
I don't really know if this is the correct answer for capital gains, but I am pretty sure I did well on the other ones.
Hope I helped you :] !
What is 7+2
Am on my scissors i know what answer is she just thought me what it was but want to see if people know too
Answers
Find the surface area of the figure below. (attached image)
Answers
Answer:
Surface area = 969mm squared
Step-by-step explanation
Front: 170mm
Back: 170mm
Right side: 170mm
Left side: 170 mm
Bottom: 289mm
Total: 969mm
Hope this helps!