what is the correct form of the partial fraction decomposition for: start fraction 35-27x over 4xsquared+28x endfraction

What Is The Correct Form Of The Partial Fraction Decomposition For: Start Fraction 35-27x Over 4xsquared+28x

Answers

Answer 1

Answer: The answer is A

Step-by-step explanation:

A/4x+B/x+7

Answer 2

The correct form of the partial fraction decomposition for the given expression is Option A

What is Partial Fraction Decomposition ?

Partial Fraction Decomposition is the method of simplifying rational expressions.

The expression given is

[tex]\rm \dfrac{ 35-27x} { 4x^2+28x}[/tex]

Applying Partial Decomposition

[tex]\rm \rm \dfrac{ 35-27x} { 4x(x+7)}\\\\\\\dfrac{35}{4x(x+7)} - \dfrac{27x}{4x(x+7)}\\\\\\Taking \;A = 35/ x+7\\\\Taking \; B = -27/4\\\\[/tex]

It can be written as

[tex]\rm \dfrac{A}{4x} + \dfrac{B}{x+7}[/tex]

Therefore Option A is the answer.

To know more about Partial Factor Decomposition

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Related Questions

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!

Answers

The tallest is 2 7/8

The shortest is 1 3/4

Difference = 2 7/8 - 1 3/4 = 1 1/8

can someone help me please

Answers

I’ve attached my work...
Hope it helps!

Solve the system by substitution.
-2x - 3y = -8
-y = x

Answers

Answer:

x=−8 and y=8

Step-by-step explanation:

Answer:

(-8,8)

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️If the area of a circle is 113.04 sq ft, what is the diameter of that circle? ​

Answers

Answer:

12ft

Step-by-step explanation:

A=π r^2

113.04 = π r^2

113.04/ π = π r^2/ π

35.98=r^2

√35.98 =√r^2

r= 5.998

d=r*2

d=5.998*2

d=11.9969 rounded to 12 i guess

what is 1/3 divided by 1/6

Answers

Answer:

its 2

Step-by-step explanation:

Find the measurement of Dae need help fast​

Answers

Answer:

D = 80 degrees or (76+4) C And F are 70 i think

Step-by-step explanation:

If the surface area of a cube is 294 in² and the surface area increased by a scale factor of 3, what is the area of the enlarged cube?

Answers

Answer: [tex]882\ in.^2[/tex]

Step-by-step explanation:

Given

The surface area of the cube is [tex]294\ in.^2[/tex]

Surface area is increased by a scale factor of 3

Enlarged surface area is

[tex]\Rightarrow 294\times 3=882\ in.^2[/tex]

For the equation 3(7 + x) = 3x + k, what value of k will create an equation with no solutions?

Answers

K=21 hope this helps luvvvvv

Yesterday, 20 bakery customers bought muffins and 11 of those customers bought banana muffins. If 100 customers buy muffins tomorrow, how many would you expect to buy a banana muffin?

Answers

Answer:

55

Step-by-step explanation:

Make a proportion.

11/20=x/100

20*5=100, 11*5=55

Isaac owes \$8,100$8,100 on his credit card. The bank charges an annual interest rate of 21.9%, compounded monthly. If Isaac wants to pay off his credit card using equal monthly payments over the next 16 months, what would the monthly payment be, to the nearest dollar?

Answers

Answer:

[tex]M=\$605.58[/tex]

Step-by-step explanation:

From the question we are told that:

Issac's Debit [tex]P=\$8100[/tex]

Annual interest rate  [tex]r=21.9\%[/tex]

Number of payments [tex]n=16[/tex]

 

Generally the equation for Monthly payment  is mathematically given by

 [tex]M=\frac{Pr}{1-(1+r)^-^n}[/tex]

 [tex]M=\frac{1800*0.0219}{1-(1+0.0219)^-^{16}}[/tex]

 [tex]M=\$605.58[/tex]

Therefore Payment for each month is given as

 [tex]M=\$605.58[/tex]

Thank you for taking the time to look at my question

Answers

Answer:

I think it's B but im not sure

hope this helps

have a good day :)

Step-by-step explanation:

Answer and Step-by-step explanation:

The functions f(x) is being put into the function of g(x).

[tex]\frac{2x + 3}{4}[/tex]

[tex]\frac{1}{2} x + \frac{3}{4}[/tex]

Our answer is Answer choice 2.

#teamtrees #PAW (Plant And Water)

Simplify the expression. Write your answer as a power.

Answers

Answer:

b^36

Step-by-step explanation:

Solve by taking square roots. plz find answer

Answers

Answer:

Step-by-step explanation:

4[tex]x^{2}[/tex] - 6 = 394

4[tex]x^{2}[/tex]  = 400

[tex]x^{2}[/tex] = 100

x = 10

X=10

Explanation: 394 plus 6 is 400. Divided by 4 is 100. 10 squared is 10

-6x+3y=-39 -6x-3y=-21 solve the system of equations

Answers

Answer:

x=5,y=-3

Step-by-step explanation:

[tex]\left \{ {{-6x+3y=-39} \atop {-6x-3y=-21}} \right. \\-12x=-60\\12x=60\\x=\frac{60}{12} \\x=5[/tex]

[tex]-6(5)+3y=-39\\-30+3y=-39\\3y=-39+30\\3y=-9\\y=-\frac{9}{3} \\y=-3[/tex]

The answer is the one on top

A new car sells for $34,500. If the car depreciates at a rate of seven and a half percent each year, how much will the car be worth in five years?

Answers

Answer:

$23356.5

Step-by-step explanation:

Given data

Cost =  $34,500

rate= 7.5%

Time= 5 years

The expression for the depreciation is

A= P(1-r)^t

substitute

A= 34500(1-0.075)^5

A= 34500(0.925)^5

A= 34500*0.677

A=$23356.5

Hence the worth will be $23356.5

Find the range of the data.

67, 63, 72, 62, 64, 79, 74, 66

Answers

Answer:

The range is 17

Step-by-step explanation:

67, 63, 72, 62, 64, 79, 74, 66

To find the range of the data, take the largest number and subtract the smallest number.

The largest number is 79

The smallest number is 62

79-62 = 17

The range is 17

Can someone help with this please!

Answers

Answer:

96/100, if they said simplify then its 24/25

Step-by-step explanation:

Please help as soon as someone can, I need help on these questions.

Answers

Question 3 is B, because when you divide both it gives you the same answer

Answer:

BELOW ↓

Step-by-step explanation:

1.Given Information :

Distance (d) = 1/4 miles

Time (t) = 36 seconds

Speed = ?

[tex]Speed = \frac{Distance (d)}{Time (t)}\\\\Speed= \frac{\frac{1}{4} mile }{36 seconds} \\\\Speed =\frac{1}{44}m/hr[/tex]

2.The unit rates are equal

I need help with B please

Answers

Answer:

Area = 0.785 yrd

Circumference = 12.56 yrd

Step-by-step explanation:

Diameter = 1 yrd

Area of a circle = pi times the radius squared

A = 3.14 (1/2)^2

A = 0.785

Circumference of a circle = 2 times pi times the radius

C = 2(3.14)(1/2)

C = 12.56

Answer please no links or files

Answers

Answer:

120

Step-by-step explanation:

If a sweater originally costs $50 and there is a 30% off sale on sweaters, what is the sale price?

Answers

The sweaters sale price would be 20. Since the sweater normally cost $50, and it’s 30% , it’s taking 30 away from the 50 which is : 50-30= 20

Identify the measures of exterior angle below. Let x = 15

Answers

plug in x as 15 and solve

Your salary is $105,000 per year
Each month, 16% of your income is deducted for taxes?

7. What is your after-tax monthly income?

Answers

9514 1404 393

Answer:

  $7350

Step-by-step explanation:

The tax deduction multiplies your income by 1 -16% = 84%. The expression of it as a monthly amount multiplies it by 1/12. So, your monthly take-home income is ...

  $105,000(0.84)(1/12) = $105,000(0.07) = $7,350

Your after-tax monthly income is $7350.

Everythings in the picture!

Answers

Answer:

See below

Step-by-step explanation:

Year Starting balance,$      prt, $                                      Interest,$

1          1400                        1400(1+0.06) = 1484.00           84

2          1484                       1484(1+0.06) = 1573.04            89.04

3          1573.04                  1573.04(1+0.06) = 1667.42       94.38

Due tonight *no links*

Answers

Answer:

x=50°

Step-by-step explanation:

Add all the number. 110+99+101=310

Then, 360-310=answer(x)

What is (x-7)(x-4) ????????

Answers

Answer:

x^2 -11x+28

Step-by-step explanation:

See Image below. I hoped this helped :)

A sandbox in the shape of a rectangular prism is
7 feet long, 5 feet wide, and 1 foot tall. If six
inches is added to the height, how much more
sand can it hold?
HELP PLASSS!!!

A. 12 ft
B. 15Ft
C: 17.5 ft
D. 21 ft

Answers

Answer:

C. 17.5

Step-by-step explanation:

The current volume of the sandbox is 7×5×1 = 35 feet³

If six inches is added to the height, the new volume will be 7×5×1.5=52.5

To find the difference in how much the snadbox can hold, you can subtract. 52.5-35= 17.5

An online furniture store sells chairs for $100
each and tables for $500 each. The store must
sell a minimum of $8300 worth of chairs and
tables each day. Write an inequality that could
represent the possible values for the number of
tables sold, t, and the number of chairs sold, c,
that would satisfy the constraint.

Answers

Answer:

13 3/4

Step-by-step explanation:

There are two vendors at the fair sleeping snow cones for the same price. If the containers are completely filled and then leveled off across their tops, what is the difference in the amount of snow cone each will hold

Answers

Answer:

[tex]d = 787.81cm^3[/tex]

Step-by-step explanation:

Given

See attachment for the containers

Required

The difference in the amount of snow cone they hold

The amount they hold is determined by calculating the volume of the containers.

The traditional snow cone has the following dimension

Shape: Cone

[tex]r=4cm[/tex] --- radius

[tex]h = 13cm[/tex] --- height

The volume is calculated as:

[tex]Volume = \frac{1}{3} \pi r^2h[/tex]

So, we have:

[tex]V_1 = \frac{1}{3} \pi * 4^2 * 13[/tex]

[tex]V_1 = \frac{208}{3} \pi[/tex]

The snow cone in a cup has the following dimension

Shape: Cylinder

[tex]r=8cm[/tex] --- radius

[tex]h = 5cm[/tex] --- height

The volume is calculated as:

[tex]Volume = \pi r^2h[/tex]

So, we have:

[tex]V_2 = \pi *8^2 * 5[/tex]

[tex]V_2 = \pi *320[/tex]

[tex]V_2 = 320\pi[/tex]

The difference (d) in the amount they hold is:

[tex]d = V_2 - V_1[/tex]

[tex]d = 320\pi - \frac{208\pi}{3}[/tex]

Take LCM

[tex]d = \frac{3*320\pi -208\pi}{3}[/tex]

[tex]d = \frac{960\pi -208\pi}{3}[/tex]

[tex]d = \frac{752\pi}{3}[/tex]

Take [tex]\pi = 22/7[/tex]

[tex]d = \frac{752}{3} * \frac{22}{7}[/tex]

[tex]d = \frac{752 * 22}{3*7}[/tex]

[tex]d = \frac{16544}{21}[/tex]

[tex]d = 787.81cm^3[/tex]

Enter a positive value for b that makes this statement true: 16 x b is greater than 16 but less than 32.

Answers

Answer:

24

Step-by-step explanation:

24

Answer:

1.5

Step-by-step explanation:

16 x 1.5 =24

24 is greater than 16 and less than 32

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