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

Answers

Answer 1

9514 1404 393

Answer:

  1/(3x) =(x -2)/(4x^2 +9)

Step-by-step explanation:

The denominator cannot be factored further, so the final form will be ...

  A/(3x) + (Bx +C)/(4x^2 +9)

The value of this is ...

  (A(4x^2 +9) +(3x)(Bx +C))/(3x(4x^2 +9))

  = ((3B+4A)x^2 +3Cx +9A)/(3x(4x^2 +9))

Equating coefficients gives ...

  3B+4A = 7

  3C = -6   ⇒   C = -2

  9A = 9   ⇒   A = 1

Using the found value of A, we find ...

  3B +4 = 7   ⇒   B = 1

Then the decomposition is ...

  [tex]\dfrac{7x^2-6x+9}{3x(4x^2+9)}=\boxed{\dfrac{1}{3x}+\dfrac{x-2}{4x^2+9}}[/tex]

Answer 2

Answer:

a

Step-by-step explanation:

took test


Related Questions

I have one question, i'll give ya'll 50 points!

Answers

Answer:

it's A you're right

A small plant manufactures riding lawn mowers. The plant has fixed costs of GHC48,000 per day and a variable cost of GHC1,400 per unit produced. The mowers are sold for GHC1,800 each. The cost and revenue functions are in that order and , where is the total number of mowers produced and sold each day. How many units must be manufactured and sold each day for the company to break even?

Answers

Answer:

120

Step-by-step explanation:

The break-even point is the point where revenue =cost

48,000+ 1400x = 1800x

48000=400x

X=48000/400

X=120

Equilibrium quantity is 120 mowers

Solve for A

-2a -12 < -8

How do I do this step by step?

Answers

first you add 12 to the other side and once you have that divide both sides by -2 and since what we’re dividing by is negative the inequality switches so the answer is a > -2

maths help please!!!!!!

Answers

Answer:

VW = √2

Step-by-step explanation:

y = x+1

x²+y²+2x+2y+1=0          (x²+2x+1) + (y²+2y+1) = 1

(x+1)² + (y+1)² = 1  : Circle: (x-h)² + (y-k)² = r²     Center (O): (h , k) = (-1 , -1) r = 1

solve for roots: x²+(x+1)²+2x+2(x+1)+1=0

2x² + 6x + 4 = 0          x²+3x+2=0

(x+1)(x+2)=0

x = -1 or x = -2

y = 0 or y = -1

V and W: (-1 , 0) and (-2 , -1)  forms a 90° center angle

√vw = √1²+1² = √2

A partir del 1.° de diciembre, un camión de helados visita la calle de Sara cada 3 días y la calle de Ema cada 5 días. ¿Cuáles son los primeros 2 días que el camión visita ambas calles el mismo día?

Answers

Answer:

Los primeros 2 días que el camión visita ambas calles el mismo día es el 15 y 30 de diciembre.

Step-by-step explanation:

Los múltiplos de un número son todos los posibles resultados de multiplicar ese número por todos y cada uno de los números naturales.

Es decir, los múltiplos de un número natural son los números naturales que resultan de multiplicar ese número por otros números naturales.

El conjunto de los múltiplos de un número determinado (salvo el cero) es infinito, pues existen infinitos naturales para multiplicar.

Para determinar cuáles son los primeros 2 días que el camión visita ambas calles el mismo día, debes encontrar los múltiplos de 3 y 5:

múltiplos de 3: 3; 6; 9; 12; 15; 18; 21; 24; 27; 30

múltiplos de 5: 5; 10; 15; 20; 25; 30; 35; 40; 45; 50

Podes observar que los 2 primeros números comunes o que coinciden entre los múltiplos de 3 y 5 son 15 y 30. Esto quiere decir que los primeros 2 días que el camión visita ambas calles el mismo día es el 15 y 30 de diciembre.

answered
I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE

Answers

The First equation and the Third Equation

are equivalent to 6x - 24.

1) 6 ( x - 4 )

3)3 ( 2x - 8 )

Answer:

first one and third one. hope u get it right!

Step-by-step explanation:

6(x-4)

distribute (6*x and 6*4) then it equals 6x - 24

2(3x - 24) = 6x - 48

3(2x - 8) = 6x - 24

3(3x - 21) = 9x - 63

Can anyone help me ? It’s due in 20 minutes

Answers

Answer:

area of square = 100

area of circle = 15.7

the area of the shaded = im not really sure but im thinking its 50

Step-by-step explanation:

so u see the line in the middle it say 10 cm and the square is equal on all sides so it would be 10cm for the lenth and with so it would be 10 times 10 witch is 100 and u would use the 10 for the circle aswell witch u would use 3.14 times 10 divided by 2 to get the area of the circle

Answer:

The Area of the square is 100cm^2

The Area of the Circle is 78.54cm^2

The Area of the Yellow is 21.46cm^2

Step-by-step explanation:

$1800 at 2% for 10 years

Answers

Answer:

$2194

Step-by-step explanation:

If this does not help you im sorry! :(

hope this helps u

Answer:

1836

Formula: P(1+r)^t

Steps- 1800$( 1 + .02)^10

instead of doing 2% we move the decimal two places to the left and get .02

From here you can just add it and get 1836$

I noticed you didn't put the annual interest rate, so I assumed it would be annually.

i need help T^T ill mark brainliestT^T

Answers

Answer:

it's A (I'm sure)

Step-by-step explanation:

........

Answer:

option A is correct 2:10=14:10

Which term matches the definition? one that can be answered with
data and for which it is anticipated that the data collected to answer the
question will vary.
A. symetrical graphs
B. skewed right
C. skewed left
D. statistical question

Answers

D) statistical question

How many solutions does the system have?

Answers

Answer:

you have exactly one

Step-by-step explanation:

hope it helped

CORRECT ANSWER GETS BRAINLIEST AND 5 STARS!

Answers

Answer:

Answer is B

Step-by-step explanation:

This is because there were 14 chocolate cupcakes to 21 vanilla cupcakes which in ratio form is 14 to 21 and simplified is 2 to 3

The sides of the base of a right square pyramid and its slant height are tripled. What is the surface area of the larger pyramid divided by the surface area of the smaller pyramid? A. 3 B. 6 C. 9 D. 12

Answers

Answer:

Step-by-step explanation:

If the base length and slant height are multiplied by 3, the surface area is multiplied by 3² = 9

Henry went to an amusement park with $100.00 and spent all of it. He spent of the money on parking. He spent $42.50 on admission to the park. He spent 20% of the money on food. He paid a $12.75 fee for admission into a water park located inside the amusement park. He spent the remainder of his money on games that cost $1.75 each. How many games did Henry play?

Answers

Answer:

19 games

Step-by-step explanation:

Henry went to an amusement park with $100.00 and spent all of it.

Starting amount = $100.00

He spent $42.50 on admission to the park.

Amount left = $100.00 - $42.50

Amount left = $57.5

He spent 20% of the money on food.

Amount spent = 20%  of amount left ($57.5) = $11.5

Amount left = $57.5 - $11.5 = $46

He paid a $12.75 fee for admission into a water park located inside the amusement park.

Amount left = $46 - $12.75

Amount left = $33.25

He spent the remainder of his money on games that cost $1.75 each. How many games did Henry play?

Number of games = Amount left / Cost per game

Number of games = $33.25 / $1.75 = 19

Can someone help with this math problem? 3 (x+6) = 27

Answers

Answer:

x = 3

Step-by-step explanation:

Use distributive property: a(b +c) =(a*b) + (a*c)

3(x + 6) = 27

3*x + 3*6 = 27

3x + 18  = 27 {Subtract 18 from both sides}

3x + 18 -18 = 27 - 18

         3x    = 9  {Divide both sides by 3}

        3x/3 = 9/3

x = 3

Find the slope.
Find the y-intercept
Write the equation (y=mx+b)

At Philip’s Phones you can get a new cell phone plan for $45 a month plus $30 activation fee.

Answers

y=45x+30

x=months
y= fee

9514 1404 393

Answer:

slope: 45y-intercept: 30equation: y = 45x + 30

Step-by-step explanation:

The slope is the cost per month. (A slope is often expressed as a ratio: dollars per month, in this case.) The slope is 45.

The y-intercept is the value that obtains when the number of months (in this case) is zero. It is the activation fee, 30. The y-intercept is 30.

__

The equation in slope-intercept form is ...

  y = mx + b . . . . . where m is the slope and b is the y-intercept

Using the above numbers, the equation is ...

  y = 45x + 30

pls helpppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

I THINK THE ANSWER IS...

people need to stay and tend their crops.

HOPE IT HELPS

Answer:

I think its either A or C but I'm going to go with A

Step-by-step explanation:

Hope this helps (:

Find the value of X
2x+40 100

Answers

x= 30.....................

Answer:

x=30

Step-by-step explanation:

how:

so your equation right now is 2x+40=100, so figure this equation out you have to do the opposite so it will be

100-40=60

60/2=30

which makes x=30

hope that helps

please mark as brainliest if correct

thank you

19NBoli

:)

write the equation of a line that has a slope of 3x - 4y = 12 and passes through the point (8, 8)

Answers

first of all we have to find the slope

3x - 4y = 12

-4y = 12 - 3x

y = -3 + ³/₄ x

y = ³/₄x - 3

so the slope is ³/₄

now the equation is :

y-y₁ = m (x-x₁)

y-8 = ³/₄ (x-8)

y-8 = ³/₄ x - 6

y = ³/₄ x -6 + 8

y = ³/₄x + 2

(X+5)+(x-5)=56 what does x=?

Answers

Answer:

x=28

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+5+x−5=56

x+5+x+−5=56

(x+x)+(5+−5)=56(Combine Like Terms)

2x=56

2x=56

Step 2: Divide both sides by 2.

2x/2=56/2

x=28

plz give me brainiest

what is 0.24% as a decimal

Answers

Answer:

.0024

Step-by-step explanation:

Hey There!

So when converting a percentage to a decimal all we have to do is move the decimal place over to the left 2 times

so it would be .0024

hope this helps ~ MarkAnswers

Answer:

0.0024

Step-by-step explanation:

0.24% = 0.0024 in decimal form. Percent means 'per 100'. So, 0.24% means 0.24 per 100 or simply 0.24/100.

i hope this helps!! brainliest?

What shapes have a trapezoidal cross section

Answers

rhombussssssssssssss

Which points are reflections of each other across the y-axis?
8
-2
2
4
8
8
X
--
-B
(-7, -3) and (7.–3)
(-5, 4) and (5. -4)
( 71 RX and X

Answers

Answer:

A. ( -7, -3) and ( 7, -3)

Step-by-step explanation:

I looked at the picture and I know it is because I already learned this

PLS HELP WILL GIVE BRAINLIEST AND 20 POINTS TY!

Answers

Answer: It is B)

Step-by-step explanation: It was 8.66 something and that rounded to the nearest tenth is 8.7

Answer:

B. 8.7

Step-by-step explanation:

the closest one is but the actual number is 8.6 repeating so 8.7 is correct

How do you evaluate fuctions?

Answers

Step-by-step explanation: To evaluate functions substitute the given number or expression function's variable.

1 fourth to the 3rd power as a fraction

Answers

Answer:

1/64

Step-by-step explanation:

(1/4)³

1³/4³ = 1/64

Help me!?!
I’ll give you 5 stars?!

Answers

Answer:

i think its b 68 because if you add al the sides that what i got

Step-by-step explanation:

18 + 18 + 10 + 10 + 6 + 6=  = 68

Answer:

1080 or 68

Step-by-step explanation: 10*18*6=1080

10+10+18+18+6+6=68

The time required to complete a job varies inversely as the number of people working.
It took 3 hours for 8 electricians to wire a building. How long would it have taken 6 electricians to do the job?

Answers

48 for 6 electricians

Please help thanks I appreciate it! :)

Answers

Answer:

Step-by-step explanation:

120 x .6 =72

120-72 = 48

48x .6 = 28.8

72+28.8 = 100.8

She sold approximately 101 cups of coffee

Irma and Kate have summer jobs selling newspaper subscriptions door-to-door, but their
compensation plans are different. Irma earns a base wage of $15 per hour, as well as $1 for
every subscription that she sells. Kate gets $2 per subscription sold, in addition to a base
wage of $6 per hour. If they each sell a certain number of subscriptions in an hour, they will
end up earning the same amount. How many subscriptions would that be? How much would
each one earn?
If Irma and Kate sell
subscriptions in an hour, they will each earn $

Answers

Check o go gg LE 2345
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