What is the partial fraction decomposition of 7x^2-6x+9/3x(4x^2+9)

Answers

Answer 1

Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)

The form of the partial fraction decomposition is

x+7(x+1)(x+2)=Ax+1+Bx+2

Write the right-hand side as a single fraction:

x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)

The denominators are equal, so we require the equality of the numerators:

x+7=(x+1)B+(x+2)A

Expand the right-hand side:

x+7=xA+xB+2A+B

Collect up the like terms:

x+7=x(A+B)+2A+B

The coefficients near the like terms should be equal, so the following system is obtained:

{A+B=12A+B=7

Solving it (for steps, see system of equations calculator), we get that A=6, B=−5

Therefore,

x+7(x+1)(x+2)=6x+1+−5x+2

Answer: x + 7x\textasciicircum{2} + 3 x + 2=6x+1+−5x+2


Related Questions

Please be honest :( I’ll mark u please help

Answers

The second answerrrrrrrrr

Using the rule of subtraction, how could you rewrite the following as an addition sentence? -3 - 7

Answers

Answer:

(-3) + (-7)

Step-by-step explanation:

Follow me please.......

Please answer quick

Answers

Answer:

4# 4x2 + 6x - 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x^2+2x-5+3x^2+4x-1=4x^2+6x-6=4x^2+6x-6

Hope you'll find it helpfull

Someone help me out please

Answers

Caroline is correct because the equation y = (x-1)(x-5) is in factored form. If you solve the terms (x-1) and (x-5), you get the zeros (aka x-intercepts) of the graph.

Solve (set the terms equal to 0):

x-1 = 0     x = 1

x-5 = 0     x = 5

∴ the x-intercepts are (1,0) and (5,0).

The purple graph corresponds to the zeros in the equation, not the green graph. The green graph has negative x-intercepts, whereas the purple graph has positive x-intercepts like in the equation.

Try it Create 3 different fractions that are equivalent to 0. Press Check after each one. 0 Fractions equivalent 1 4 0 Incorrect. Make sure both bars are shaded equally Check Previous Activity General (Science - S... P Foundational Math .... Marlon Porter Proje.....​

Answers

Answer:

0/2 0/5 0/10

Step-by-step explanation:

Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero.

The diagram represents the enlargement of a rectangle by using a scale factor of 6.

A rectangle has a length of 30 feet and width of 6 feet.


What are the dimensions of the original rectangle?

Answers

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Answer:

lenght of 5 feet and width of 1 feet

Step-by-step explanation:

30/6=5

6/6=1

Step-by-step explanation: like what that peson said! way to go and good luck on your test!

11. Find the missing number 1:2 = 3:
O A. 2
OB. 1
OC.3
OD. 6

Answers

The given expression is :

1:2=3:x

To find,

The value of x.

Solution,

The ratio of LHS is 1:2 or 1/2

It should be same as in RHS.

If x = 6,

Then the ratio becomes :

1:2 = 3:6

or

1:2 = 1:2

Hence, the value of x = 6.

does anyone know the answer ?

Answers

Answer:

i think its inches per foot b/c it says what where the final units for this conversion i hope this is helpful.

Step-by-step explanation:

Find the solution to the system
5x+4y=-34 and y=3x

Answers

Answer:

x = -2 ; y = -6

Step-by-step explanation:

Let y = 3x be eqn.1

So putting eqn.1 in 5x + 4y = -34 gives ,

[tex]5x + 4y = - 34[/tex]

[tex] = > 5x + 4(3x) = - 34[/tex]

[tex] = > 5x + 12x = - 34[/tex]

[tex] = > 17x = - 34[/tex]

[tex] = > x = \frac{ - 34}{17} = - 2[/tex]

Putting the value of x in eqn.1 gives :-

[tex]y = 3x = 3 \times ( - 2) = - 6[/tex]

In the diagram below, what is the ratio of unshaded parts to shaded parts?

4 shaded triangles and 12 unshaded triangles.
4 unshaded to 9 shaded
9 unshaded to 4 shaded
3 unshaded to 1 shaded
1 unshaded to 3 shaded

Answers

Answer:

The answer is D.

Step-by-step explanation:

I hope this helps :D

If 14 gallon of paint covers 112 of a wall, then how many quarts of paint are needed for the entire wall?

Answers

Answer:

168 gallons

Step-by-step explanation:

Correct question;

If 14 gallon of paint covers 1/12 of a wall, then how many quarts of paint are needed for the entire wall?

If 14 gallon of paint covers 112 of a wall, this can be expressed as;

14 gallons = 1/12 of the wall

x gallons = entire wall (1 wall)

Cross multiply

1/12 * x = 14

x/12 = 14

Multiply both sides by 12

x/12 * 12 = 14*12

x = 168 gallons

Hence 168galons of paints are needed for the entire wall

Why are these triangles similar?​

Answers

Answer:

sas

Step-by-step explanation:

Round 4,368 to the nearest ten

Answers

Answer:

4,370

Step-by-step explanation:

If you are looking for the nearest ten in 4,368, you round up the number 8. Eight is greater than five and not less than four, therefore, the answer is 4,370. Good Luck on whatever assignment you're doing!

Answer:
4370

Explanation:
5 or more you round to the next number. In this case 8 is above 5 so you round to the next number of 68 which is 70

Answer the following question:

Answers

Answer:

perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5

Why is the square root of 1.95 an irrational number?

Answers

Answer:

because if u divied it it is dum as

Step-by-step explanation:

Amy has an adjusted gross income of $85,600. For the house she is considering buying, her monthly mortgage payment would be $1,711.22, her semi-annual property tax bill would be $3,239, and her annual homeowner’s insurance bill would be $980. She has a credit card bill that averages $500 per month and a $475 car payment. What is her back-end ratio?​

Answers

Answer:

85,600:6,905.22

Step-by-step explanation:

PLZ HELP WILL GIVE BRAINLIEST

Answers

the answer is c

Step-by-step explanation:

it is because you have to times 3 and 4 and 3 and 9

Answer:

The answer is 27/ 12x - 9 = 28

Step-by-step explanation:

All you have to do is multiply 3 X 4x and gives you 12x and multiply 3 X 9 and gives you 27.

3 ( 4x - 9 ) = 28 = 12x - 27 = 28

Hope this helped.

♡(ŐωŐ人)

Find the perimeter of a rectangle whose length is 4√5 and width is 3√7

Answers

Answer:

if you don't have a calculator you can just put the number under the radical like this

Step-by-step explanation:

4 * 3 * [tex]\sqrt{5 * 7}[/tex]

12[tex]\sqrt{35}[/tex]

this answer might be what a teacher is looking for.. b/c it's exact but... if you were needing to do real work.. you'll just need a close approximation,  then

12* 5.916....

70.99  is a close approximation

Tom got 7 over 8 pound of honey from a hive. He calculated the quotient of 7 over 8 ÷ 2 over 5 . Which statement shows the quotient and gives the most likely explanation of what Tom was trying to determine? (5 points)

a
He can make 14 over 40 of a bottle of honey with 2 over 5 pound of honey in each bottle.

b
He can get 14 over 40 pound of honey if he divides the honey into 2 over 5 -pound portions.

c
He can get 2 and 3 over 16 pounds of honey if he divides the honey into 2 over 5 -pound portions.

d
He can make 2 and 3 over 16 bottles of honey with 2 over 5 pound of honey in each bottle.

Answers

Answer:

C.

Step-by-step explanation:

He can get 2 3/16 pounds of honey if he divides the honey into 2/5 - pound portions.

7/8 / 2/5= 7/8 x 5/2= 35/16= 2 3/16 pounds of honey into 2/5 pound portions

via. google

Hope this helps dude

Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions: Option C.

Given the following data:

Quantity of honey = [tex]\frac{7}{8} \;pound[/tex]

To determine the statement which shows the quotient and gives the most likely explanation of what Tom was trying to calculate:

Translating the word sentence into an algebraic expression, we have;

7 over 8 divided by 2 over 5:

[tex]\frac{7}{8}\; \div \; \frac{2}{5}[/tex]

Applying the basic law of division for fractions, we have:

[tex]Quotient = \frac{7}{8}\; \times \; \frac{5}{2}\\\\Quotient =\frac{35}{16}[/tex]

Simplifying further, we have:

[tex]Quotient =\frac{35}{16} = 2\frac{3}{16}[/tex]

Therefore, Tom can get 2 and 3 over 16 ([tex]2\frac{3}{16}[/tex]) pounds of honey if he divides 7 over 8 ([tex]\frac{7}{8}[/tex]) pound of honey into 2 over 5 ([tex]\frac{2}{5}[/tex]) pound portions.

Read more on quotient here: https://brainly.com/question/3702921

Find the product: Negative StartFraction 4 over 9 EndFraction and Negative StartFraction 3 over 8 EndFraction
Negative StartFraction 1 over 9 EndFraction
Negative one-sixth
StartFraction 7 over 17 EndFraction

Answers

Answer:

c 1/6

Step-by-step explanation:

been there done that

Answer:

c

Step-by-step explanation:

i just did the test and got it right, hope this helps ^^

Helpp meeeeeee plzzz (13 points )

Answers

Answer:

that they both have right angles and have a leath of 5

Step-by-step explanation:

The value of x, rounded to the nearest tenth is...

Answers

Answer:

67

Step-by-step explanation:

67 I’m pretty sure :(

If the point (-1-5) is reflected across
x-axis, whot aro tho coordinates of th
new point? ?

Answers

Answer:

-1, 5

Step-by-step explanation:

With the graph, when you switch the x axis, you have to make the additive inverse for the y. If Y, additive the X.

Evaluate (1 2/3)^3. A. 3 8/27 B. 4 8/27 C. 4 4/9 D. 4 17/27

Answers

Answer:

D. 4 17/27

Step-by-step explanation:

(1 2/3)^3 = (1 + 2/3)^3 = (3/3 + 2/3)^3 = (5/3)^3 = (5 * 5 * 5)/(3 * 3 * 3) = 125/27 = 108/27 + 17/27 = 4 17/27

Answer:

D

Step-by-step explanation:

[tex](1\frac{2}{3})^3\\\\(1+\frac{2}{3})^3\\\\(\frac{3}{3}+\frac{2}{3})^3\\\\(\frac{5}{3})^3\\\\\frac{5^3}{3^3}\\\\\frac{125}{27}\\\\\frac{(27*4)+17}{27}\\\\4\frac{17}{27}[/tex]

Baden Company manufactures a product with a unit variable cost of $50 and a unit sales price of $88. Fixed manufacturing costs were $240,000 when 10,000 units were produced and sold. The company has a one-time opportunity to sell an additional 2,000 units at $65 each in a foreign market which would not affect its present sales. If the company has sufficient capacity to produce the additional units, acceptance of the special order would affect net income as follows.
a. Income would decrease by $20,000.
b. Income would increase by $20,000.
c. Income would increase by $140,000.
d. Income would increase by $40,000.

Answers

Answer:

I would say C because i got 130,000

Step-by-step explanation:

Unit Variable Cost is $50

Unit Sales Price is $88

Fixed Costs $240 000 (10 000 units)

Opportunity 2000 units at $65

Total Sales = $130,000

WHO IS RIGHT?
Drag the word RIGHT onto the character
that is right and drag the WRONG on
the character that is wrong. Explain
your answers below.
RIGHT
2(x + 6)=2x+6 WRONG
RHINO
LION
2(x + 6)=2x + 12
Explain your answer here
Explain your answer here:

Answers

Answer:

Right

Step-by-step explanation:

Trust me

Answer:

lion

Step-by-step explanation:

you multiply what is outside the parenthesis to everything inside the parenthesis

Question Attached below

Answers

Answer:

third and fifth

Step-by-step explanation:

I need help please I am having hard time doing this

Answers

i believe it’s undefined *shrugs* haven’t done those in a while

Answer:you are corect its negetive

Step-by-step explanation:

Plz helplplpp this is due NOWWW

Answers

Answer:

Option 2

Step-by-step explanation:

1/4 is equal to .25 or 25/100

Answer:
Option 2

Explanation:
1/4 =0.25
0.25 x 5 = 1.25
1/4 x 5 = 1 1/4

Max is building a model of the Washington Monument which is 555 feet tall if it's model must fit in his Mom's car, what scale must he use?

Answers

Answer:

1 foot=1 milimeter

Step-by-step explanation:

have a great day

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