Mathematics College

Write the form of the partial fraction decomposition of the rational expression.
11x - 10/ (x-6)(x+7)

Answers

Answer 1

Answer:

x+7x2+3x+2=6x+1+−5x+2

Step-by-step explanation:

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+7x2+3x+2=6x+1+−5x+2

Related Questions

find the missing measurements in the shape ​

Answers

3, 2
From left to right

Answer:

the area is 30 m2

Step-by-step explanation:

PLEASE HELP ME PLEASE!

Answers

They can because of zero property. If we set them equal to zero we get their roots which is 3 and -2. This is the same on the x axis which is goes through. We can mark these points.

can two fractions with the same numerator and different denominators be equal ​

Answers

Answer:

No, it cannot be equal

Step-by-step explanation:

For example: 1/2 and 1/4

1/2 represent in 2 pieces you are getting one piece.

1/4 represent in 4 pieces you get one piece

Been stuck on this all day!! Helppp

Answers

Answer:

Step-by-step explanation:

You have to use the arithmetic sequence

f(n)=f(n-1)+d

You can plug in (40,10) and (50,20)

(10)=f(1)+39d

(20)=f(1)+19d

subtract

-10=20d divide

d=-1/2

plug into one of the equations above

(10)=f(1)+39(-1/2)

10=f(1)-39/2

59/2=f(1)

f(1)=29.5

plug into formula

f(n)=29.5-1/2(n-1)

f(n)= -1/2n +30 final equation (Plug in the table values into "n") to solve

Answer:

if it was like that wouldnt it go from 10 to 20 to 30 to 40 ect.

Step-by-step explanation:

Please explain how you find the slope of a graph?

Answers

Answer

m=rise/run

Step-by-step explanation:

To find the slope of a graph, you have to figure out home it is rising and how much it is running. Make sure you know which way is negative and positive. Then you divide rise by run.

Answer:

change in y / change in x

or you could differentiate the function of the graph to find the slope

Step-by-step explanation:

Is anyone good at math on the top of their head pls comment below ASAP!!!

Answers

Answer:

please do you need help there are more expect around

Step-by-step explanation:

drop the question let help you

Answer:

yea me kinda the only thing i help on brainly is math

Step-by-step explanation:

There are 20 pieces of fruit in a bowl and 5 of them are apples. What percent of the fruit are apples?

Answers

Answer:  25%

Step-by-step explanation:

Total pieces=20

apple pieces=5

 =apple pieces/total pieces

=  5/20

for %age multipilying with 100

= 0.25×100

=25 percent

Kyle bought some boxes of donuts. There were 4 donuts in each box, and Kyle bought 76 donuts in all. Write an equation, that when solved, will tell how many boxes, b, of donuts Kyle bought?

Answers

Answer:

b=76/4

Step-by-step explanation:

Since there are 4 donuts in each box, and 76 boxes total, then you know that you need to divide the number of donuts by the amount of donuts in each box. b= 19 if u needed that. Cheers

Answer:

The answer is 19 boxes

Step-by-step explanation:

Since there were 4 donuts in each box all you have to do is divide 76 by 4 since there is 76 donuts in all 76 ÷ 4 = 19 boxes (79 equally distributed into 19 boxes)

lI need help please answer​

Answers

What all of them and if u need all of them give me a second

Answer:

Look Below

Step-by-step explanation:

1) 81 = 729/9

2) 36 / 3 = 12

3) 4X = 20 (X = 5)

4) 34 = 176 ???

5) 1470/35 = 42

6) 1 = 2/2

7) 7X = 245 (X = 35)

8) 600X = 2400 (X = 4)

9) 936 = 78X (X = 12)

If you find any fault in my answers please let me know! About 4 I am not able to answer that because I don't see what the problem is asking. Sorry. I hope this helps! Have a good day!

Determine a series of transformations that would map Figure L onto Figure M.
TO
Figure L
Figure M

Answers

Answer:

rotation of 90° counterclockwise, then translation 3 down

The given figure has a rotation of 90° counterclockwise, then translation 3 down.

What is translation?

A translation moves a shape left, right, up, or down without turning it. The translated (or picture) shapes appear to be the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.

The two figures given in the image are plotted on the coordinate plane having axis x and y.

From the figure it is observed that the given figure has a rotation of 90° counterclockwise, then translation 3 down.

Therefore, the given figure has a rotation of 90° counterclockwise, then translation 3 down.

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An experiment reported in Popular Science compared fuel economies for two types of similarly equipped diesel mini-trucks. Let us suppose that 12 Volkswagen and 10 Toyota trucks were tested in 90- kilometer-per-hour steady-paced trials. If the 12 Volkswagen trucks averaged 16 kilometers per liter with a standard deviation of 1.0 kilometer per liter and the 10 Toyota trucks averaged 11 kilometers per liter with a standard deviation of 0.8 kilometer per liter, construct a 90% confidence interval for the difference between the average kilometers per liter for these two mini-trucks. Assume that the distances per liter for the truck models are approximately normally distributed with equal variances.

Answers

Answer:

CI= [4.324 , 5.6758]

Step-by-step explanation:

The 90 % confidence interval for the normal distribution is given by

(x`1- x2` ) ± t ∝/2 (υ) .Sp √1/n1 + 1/n2

where Sp = √[n1-1 (s1)² + n2-1 (s2)²]/n1+n2-2

and n1= 12 n2=10

x1`= 16 km x`2 = 11km

s1= 1km s2= 0.8km

and degrees of freedom υ= n1+n2-2= 20

Here ∝/2 = 0.05

From the table we get the value of t∝/2 (υ) to be 1.725

Putting the values

Sp = √[n1-1 (s1)² + n2-1 (s2)²]/n1+n2-2

Sp= √11(1) + 9(0.8)²/20

Sp= √0.838=0.915

CI = (x`1- x2` ) ± t ∝/2 (υ) .Sp √1/n1 + 1/n2

CI = (16-11)± 1.725 * 0.915√1/12+ 1/10

CI = (5) ± 0.675819

CI=[ 4.324 , 5.6758]

1. What is m angle R ? A 45 degrees B 69 degrees C 79.5 degrees D 90 degrees

Answers

The answer is c because a triangle measures 180 but in this case it’s two so it’s 360 so first you add up all the given measurements and then you can subtract it from 360

Can someone help me plz

Answers

Answer: ITS 100% D.)12

Step-by-step explanation:

2x * 12 = 24 = 36

3x * 13 = 36

therefore, x= 12

hope this was helpful :D

brainliest plz?

Suppose you receive a postcard from a good friend with a picture of the Golden Gate Bridge in San Francisco. The postcard is 3.5 inches high and 5.5 inches wide. The fine print on the postcard states that the scale of the picture is 1:19,600. Based on the scale, what's the actual length of the Golden Gate Bridge? O

A. 10,760 feet O B. 21, 552 feet O C. 8,980 feet O D. 8,167 feet​

Answers

Actual length of the Bridge = 8983.33 feet.

The scale is 1 unit = 19,600.

Height of the postcard is 3.5 inches.

So, original height of the bridge = 3.5 × 19,600 = 68,600 inches

= 5716.67 feet

Width of the postcard is 5.5 inches.

So, original width of the bridge = 5.5 × 19,600 = 107,800 inches

= 8983.33 feet

hope it helps

The correct option is (c) 8980 feet.

What is length ?The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric shape or object.  For example - A rectangle, for instance, has length and breadth as its dimensions. Two hours is an example of length for a movie. 12 inches is an illustration of length.

Given,

               length of the Bridge = 8983.33 feet.

                The scale is 1 unit = 19,600.

                Height of the postcard is = 3.5 inches.

So,

     Original height of the bridge = 3.5 × 19,600 = 68,600 inches

                                                       = 5716.67 feet

Width of the postcard is 5.5 inches.

So, original width of the bridge = 5.5 × 19,600 = 107,800 inches

                                                     = 8983.33 feet

Therefore, the original width of the bridge is 8983.33 feet .

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Im im baby need help give crayons for answer 1+1=????

Answers

Answer:1+1=2

Step-by-step explanation:

Yeah Bio

Amanda spent half of her weekly allowance to play arcade games. To earn more money her parents let her mow the lawn for $8. What is her weekly allowance if she ended with $12

Answers

Answer:

two dollars

Step-by-step explanation:

12-8=4/2=2

Simplify please
(n^11)^2

Answers

Answer:

n^22 (I love your profile picture by the way)

Step-by-step explanation:

Answer:

n^22

Step-by-nstep explanation:

because you would multiply the exponents so 11 x 2 is n^22

I will increase your salary from $12,000 to $15,000. What is the percentage increase

Answers

Answer:

i think 20%

Step-by-step explanation:

The percent increase of the salary is 25%.

We have,

the salary increases from $12,000 to $15,000

So, Change in Amount= (15,000 - 12,000)

= 3, 000

Now, Percent increase = change in amount/ original amount x 100

= 3000/ 12000 x 100

= 1/4 x 100

= 100/4

= 25%

Thus, the percent increase is 25%.

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Help fast plz !!!!!!!!!!!

Answers

small....you can use random samples to obtain a small representation of populations that are too large to survey

Find the area of the triangle below.

Answers

Answer:

the area of this triangle is 5

Answer:

A = 5

Step-by-step explanation:

Solve

The area A of a triangle is given by the Formula; A = 1/2bh where b is the base and h is the height of the triangle.

Solution

A= hbb /2 =2·5/  2=5

PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED

Answers

Answer: 13

Step-by-step explanation: Hope this help :D

PLEASE ANSWER ASAP: Two stores offer differently priced sales for the same paper towels, according to the table below. Which store offers the better deal, based on a lower unit price per roll?
PLEASE GIVE STEPS AND ANSWER AND NO FILE LINK!

Answers

Answer:

Store 1.

Step-by-step explanation:

Divide the price by the amount of roles of toilet paper. Ex 3.60÷12=.3 and 3.50÷10=.35. Now choose the lower option

A bird is at the top of a tree 8 meters tall. You are on the ground, 10 meters away from the bird. How far are you
from the base of the tree?

Answers

Answer: 6 meters

Step-by-step explanation:

I had this question and got the answer right.

The distance from the base of the tree will be 6 meters.

What is a Pythagorean theorem?

The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.

Given that a bird is perched eight meters up in a tree. The bird is 10 meters away from you where you are standing.

From the Pythagorean theorem, the base will be calculated as:-

H² = P² + B²

B = √ ( H² - P² )

B = √ ( 10² - 8² )

B = √36

B = 6 meters

Hence, the 6 meters will separate you from the tree's base.

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Aunt Rebecca is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Winchester Bakery charges $4 for each cupcake, plus $30 for the large cake. Linda's Sweet Shoppe charges $40 for the large cake and $2 for each cupcake. If Aunt Rebecca orders a certain number of cupcakes, the cost will be the same at either bakery. What would the total cost be?

Answers

Answer:

Yes

Step-by-step explanation

13/12=1 1/12

FIND THE LATERAL SURFACE AREA OF THE RECTANGULAR PRISM IN CENTIMETERS?

Answers

Answer:

A

Step-by-step explanation:

how do i transform this equation 5(3x+9)-2x=15x-2(x-5)

Answers

You have to multiply to get a simple equation so it would be 15x+45=15x-2x+10 and that’s where my knowledge stops with that

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Let's solve your equation step-by-step.

5 ( 3x + 9 ) − 2x = 15x − 2 ( x − 5 )

Step 1: Simplify both sides of the equation.

5 ( 3x + 9 ) − 2x = 15x − 2 ( x − 5 )

( 5 ) ( 3x ) + ( 5 ) ( 9 ) + −2x = 15x + ( −2 ) ( x ) + ( −2 ) ( −5 ) ( Distribute )

15x + 45 + −2x = 15x + −2x + 10

( 15x + −2x ) + ( 45 ) = ( 15x + −2x ) + ( 10 ) ( Combine Like Terms )

13x + 45 = 13x + 10

13x + 45 = 13x + 10

Step 2: Subtract 13x from both sides.

13x + 45 − 1 3x = 13x + 10 − 13x

45 = 10

Step 3: Subtract 45 from both sides.

45 − 45 = 10 − 45

0 = −35

Answer:

There are no solutions.

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tell weather the ordered pair is a solution of the equation y=7x;(2,21)

Answers

Answer:

3,21 is

2,21 is not a proper ordered pair.

Step-by-step explanation:

Remark

It's not a solution

You can either use the x value to find out the proper y value

or

You can use the y value to find out the proper x value

Proper y value

Let x = 2

y = 7*2

y = 14

So the proper y value given that x = 2 is 14.

Proper x value

Let y = 21

21 = 7x                    Divide both sides by 7

21/7 = 7x/7

3 = x

But (2,21) is not a solution. (3,21) is.

Without doing any calculations, compare Expression A to Expression B

A (34 + 25) ÷ 1/4

B 34 ÷ 25

1. Expression A is 2 times as great as expression B

2. Expression B is 4 times as great as Expression A

3. Expression A is 4 times as great as expression B

4. The two expressions are equal to each other.

Answers

Answer:

3

Step-by-step explanation

i searched it up :0

Answer: the answer is  3

Step-by-step explanation:

Which of these shows the complete factorization of 6x^2y^2-9xy-42

Answers

Answer:

3 • (2xy - 7) • (xy + 2)

Step-by-step explanation:

(((2•3x2) • y2) -  9xy) -  42

6x2y2 - 9xy - 42  =   3 • (2x2y2 - 3xy - 14)

The complete factorization of 6x^2y^2-9xy-42 is 3 (2x^2y^2 - 3xy - 14).

What is factorization?

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The given expression is

[tex]6x^2y^2-9xy-42[/tex]

= [tex](((2\times3x^ 2) \times y^2) - 9xy) - 42[/tex]

The factorized form will be

=  [tex]3 (2x^2y^2 - 3xy - 14)[/tex]

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Help please will mark brainliest!!!

Answers

Answer:

945

Step-by-step explanation:

Other Questions
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