What is the partial fraction decomposition of
8x+19/(x+8)(x-1)?

Answers

Answer 1

Answer:

8x+19/(x+8)(x-1)= 5/(x+8) +  3/(x-1)

Step-by-step explanation:

Step one:

given the expression

8x+19/(x+8)(x-1)

in partial fraction the expression is

8x+19/(x+8)(x-1)= A/(x+8) +  B/(x-1)

8x+19/(x+8)(x-1)= A(x-1)+B(x+8)/(x+8)(x-1)

equating the numerator we have

8x+19=A(x-1)+B(x+8)-------------------------1

to find A put x=-8 in eqn 1

8(-8)+19=A(-8-1)+B(-8+8)

-64+19=-9A

-45=-9A

A=45/9

A=5

to find B put x=1 in eqn 1

8(1)+19=A(1-1)+B(1+8)

8+19=9B

27=9B

B=27/9

B=3

The partial fraction decomposition

8x+19/(x+8)(x-1)= 5/(x+8) +  3/(x-1)

Answer 2

Answer:

Option-B

Step-by-step explanation:

edge


Related Questions

For which of these ARMs will the interest rate stay fixed for 8 years and then
be adjusted every year after that?
A. 8/8 ARM
B. 8/1 ARM
C. 1/8 ARM
ОО
D. 1/1 ARM
SUBMIT

Answers

Answer:Its B

Step-by-step explanation:

Bc I just got it right

ARM for which interest will stay fixed for 8 years and then be adjusted every year after that = 8/1 ARM

The correct option is (B).

What Is an Adjustable-Rate Mortgage (ARM)?

The term adjustable-rate mortgage (ARM) refers to a home loan with a variable interest rate. With an ARM, the initial interest rate is fixed for a period of time. After that, the interest rate applied on the outstanding balance resets periodically, at yearly or even monthly intervals.

Given statement

ARM for which Interest rate stay fixed for 8 years and then be adjusted every year after that.

Above information is typically expressed in two numbers. The first number indicates the length of time that the fixed rate is applied to the loan, while the second refers to the duration or adjustment frequency of the variable rate.

By the above method ARM for Interest rate stay fixed for 8 years and then adjusted every year after that can be expressed as 8/1 ARM.

Hence, for 8/1 ARM, interest rate will stay fixed for 8 years and then

be adjusted every year after that.

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Solve the following inequality 0.5z-0.1 >0.2

Answers

Answer: z>0.6

Step-by-step explanation:

You isolate the variable by dividing each side by factors that don’t contain the variable.

The answer is verified it came from Math-way .

Answer:

z≥0.6

Step-by-step explanation:

Can anybody help me with this?

Answers

Answer:

Ah yes that is a reflection because all of the points were reflected on the y axis

53​% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is ​ (a) exactly​ five, (b) at least​ six, and​ (c) less than four. ​(Round to three decimal places as​ needed.)

Answers

Answer:

a

   [tex]P(X = 5) = 0.2423 [/tex]

b

    [tex]P( X \ge  6 )=  0.4516 [/tex]

c

   [tex]P( X <  4 )=  0.12694[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is   p = 0.53

    The sample size is  n = 10

Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators        

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly​ five is mathematically represented as

     [tex]P(X = 5) =  ^{10}C_5 *  0.53^5 *  (1- 0.53)^{10-5}[/tex]

=>  [tex]P(X = 5) =  252 * 0.04182 *  0.023[/tex]

=>  [tex]P(X = 5) = 0.2423 [/tex]

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is  at least​ six is mathematically represented as

  [tex]P( X \ge 6 )= P( X = 6) + P( X = 7) + P( X = 8) + P( X = 9) + P( X = 10)[/tex]

=> [tex]P( X \ge  6 )=  [^{10}C_6 *  [0.53]^6 *  (1- 0.53)^{10-6}] +  [^{10}C_7 *  [0.53]^7 *  (1- 0.53)^{10-7}] +  [^{10}C_8 *  [0.53]^8 *  (1- 0.53)^{10-8}] +  [^{10}C_9 *  [0.53]^9 *  (1- 0.53)^{10-9}] + [^{10}C_{10} *  [0.53]^{10} *  (1- 0.53)^{10-10}][/tex]

=> [tex]P( X \ge  6 )=  [0.227] +  [0.1464] +  [0.0619] +  [0.0155] + [0.00082][/tex]

=> [tex]P( X \ge  6 )=  0.4516 [/tex]

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is  less than four is mathematically represented as

    [tex]P( X < 4 )= P( X = 3) + P( X = 2) + P( X = 1) + P( X = 0)[/tex]

=>  [tex]P( X <  4 )=  [^{10}C_3 *  0.53^3 *  (1- 0.53)^{10-3}] +  [^{10}C_2 *  0.53^2 *  (1- 0.53)^{10-2}] +  [^{10}C_1 *  0.53^1 *  (1- 0.53)^{10-1}] +  [^{10}C_0 *  0.53^0 *  (1- 0.53)^{10-0}] [/tex]

=>  [tex]P( X <  4 )=  0.09051  +  0.03 +  0.0059 +  0.000526[/tex]

=>  [tex]P( X <  4 )=  0.12694[/tex]

The county fair is a popular field trip destination. This year the senior class at High School A and the
senior class at High School B both planned trips there. The senior class at High School A rented and
filled 9 vans and 10 buses with 659 students. High School B rented and filled 8 vans and 8 buses with
536 students. Every van had the same number of students in it as did the buses.
Find the number of students in each van and in each bus.
Van 12. Bus: 52
Van: 16, Bus: 75
Van 7. Bus:41
Van: 11. Bus: 56

Answers

Answer:

35

Step-by-step explanation:

Match the following Match the items in the left column to the items in the right column
1 fish to Starfish
2. total to fish
3. Starfish to total
4. Starfish to fish

Answers

Answer:

Sorry, you didn't send the picture with it. But, I have the picture that you forgot to send, here is the picture.

Step-by-step explanation:

That is the image down there! Thanks. Sorry, I can't answer though.

Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of gas in the tank for safety, how far (in miles) can Amy drive after filling up before she needs to fill up again?

Answers

Answer:

478miles

Step-by-step explanation:

32=1gallons 32×15 = 510miles

15g

510- 32= 478miles

Compra mercancía por 2580000 más el IVA del 19%y retefuente del 3,5% u se cancela en efecyivo

Answers

Answer:

i dont speak or type spanish

Step-by-step explanation:

Answer: Sorry, i don't speak spanish dude

Step-by-step explanation: Would you like to translate it for me?

what is the answer for 6.8×10² ​

Answers

Answer:

680

Step-by-step explanation:

Answer:

680

Step-by-step explanation:

10 to the  2nd power is 10 times 10 which is 100.

Now, 6.8 times 100 is 680.

Hope this helps you!!

(Has, Have) the books or other supplies come?
has or have?​

Answers

“Have” the books or other supplies come?

Answer:

have

Step-by-step explanation:

Have is used alongside plural nouns , And has is used alongside singular nouns. So books and supplies are plural so you use have

consider the equation x-y=-1 ..calculate the value of y if x =1​

Answers

Answer:

y = 2

Step-by-step explanation:

For the equation x - y = -1, if x = 1,

then we would plug that in to solve for the y value

1 - y = -1

Subtract 1 from both sides to find y

-y = - 2

Divide by -1 to find y

y = 2.

To double check our answer we would plug in our x-value and y-value into the equation

1 - 2 = -1

This is true, so our answer is y = 2

Answer:

y = 2

Step-by-step explanation:

x - y = -1

1 - y = -1

1 + 1 - y = 0

2 - y = 0

2 = y

y = 2

Three letters are randomly chosen from the word PROBABILITY. What is the probability that one of the letters is P?

Answers

There are 11 characters (X/11) and one of these characters is P (1/11)

The answer is 1/11

Answer:

If 3 letters are picked from the word 'PROBABILITY', the chances of it being P is 33.33%.

Hope this helps and if you could mark me as brainliest. Thanks!

BD bisects ABC.
Find mZABD, mZCBD, and m ZABC.
A
(3x + 6°
D
B (7x – 18)°C

Answers

The answer is 43 because when you multiply 6x6 you get 36 and if you add 6 more you get 42 which is one less that 43

A will states that 5/6 of an estate is to be divided among relatives of the remaining a state 1/3 goes to the American cancer society what fraction of the estate goes to the American Cancer Society

Answers

Answer:

1/18

Step-by-step explanation:

5/6 of an estate is to be divided among relatives

Let the total estate = 1

Remaining estate = 1 - 5/6

= 6-5/6

= 1/6 of the estate

Of the remaining a state 1/3 goes to the American cancer society

what fraction of the estate goes to the American Cancer Society

= 1/3 × 1/6

= 1/18

The fraction of the estate that goes to the American Cancer Society = 1/18

What is the slope of the line? Anwer

Answers

The slope of the line is 1/3

Answer:

1/3

Step-by-step explanation:

First you have to do this step to find your slope: y2-y1/x2-x1

So your first point is (0,-4) (3,-3)

I got 1/3

You can also do rise over run as well

the square of a number equals five times that number find number.
A. 0 or 1
B. 0 or 3
C. 0 or 5
D. 0 or 7​

Answers

Answer:

x²=5x

x=5... probably c

Which graph represents the solution set of the inequality

-3b - 15 > - 24

(Choose 1 answer)

Answers

Answer:

A

Step-by-step explanation:

b<3

The solution graph of the given inequality is graph 1.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Given that, an inequality -3b - 15 > - 24, we need to graph its solution,

-3b - 15 > - 24

Add 15 both sides,

-3b-15+15 > -24+15

-3b > -9

b < 3

Since, the sign does not include equal to (> or <), the circle will be unfilled.

And the solution will be all the number less than 3,

Therefore, the graph with the unfilled circle, having the arrow with head facing left will be the solution.

Hence, the solution graph of the given inequality is graph 1.

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A french class has a total of 25 student.The number of males is 7 more than the number of females how many males and how many females are in the class?

Answers

Answer:

16 males and 9 females.

Step-by-step explanation:

If you subtract 7 from 25 you get 18. If you split 18 in half you get 9. Which means if you add 7 to 9 you get the number of males, which leaves you with 9 students left so the rest are females.

Answer:

16 males and 9 females

Step-by-step explanation:

To solve this we can use a system of equations.

Let's start by naming the number of females x.

The number of males would then be y.

Using these variables, we can set up 2 equations using info provided:

A french class has a total of 25 students, -> x+y=25

The number of males is 7 more than the number of females -> x+7=y

Use substitution to solve.

From the second equation:

x+7=y

Subtract 7 from both sides.

x=y-7

Substitute that into the first equation.

x+y=25

y-7+y=25

Combine like terms.

2y-7=25

Add 7 to both sides.

2y=32

Divide both sides by 2.

y=16

Substitute y=16 into equation 2.

x+7=y

x+7=16

Subtract 7 from both sides.

x=9

Therefore, there are 16 males and 9 females in the french class.

Ч=3x-2 Help please?

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:


Find n and r 10 pointsss

Answers

Answer/Step-by-step explanation:

The two triangles we have in the diagram shar the same vertex. They are both similar triangles. Therefore, their side lengths would be proportional.

This means:

[tex] \frac{9.8}{4.3} = \frac{r}{5.1} = \frac{n}{2.7} [/tex]

Solve for variable r and n respectively.

Thus:

[tex] \frac{9.8}{4.3} = \frac{r}{5.1} [/tex]

Multiply both besides by 5.1

[tex] \frac{9.8}{4.3} \times 5.1 = \frac{r}{5.1} \times 5.1 [/tex]

[tex] \frac{9.8 \times 5.1}{4.3} = r [/tex]

11.6 = r (nearest tenth)

Also,

[tex] \frac{9.8}{4.3} = \frac{n}{2.7} [/tex]

Multiply both besides by 2.7

[tex] \frac{9.8}{4.3} \times 2.7 = \frac{n}{5.1} \times 2.7 [/tex]

[tex] \frac{9.8 \times 2.7}{4.3} = r [/tex]

6.2 = n (nearest tenth)

A recipe uses 150g butter, 500g sugar, and 100g currants to make 18 small cakes?
a. how many of each ingredient will be needed to make 6 dozen cakes
b. how many whole cakes could be made with 1kg of butter

Answers

Answer:

a. The following will be needed to make 6 dozen cakes:

Number of grams of butter needed = 600g

Number of grams of sugar needed = 2,000g

Number of grams of currants needed = 400g

b. The number whole that cakes could be made with 1kg of butter is still 18 whole cakes.

Step-by-step explanation:

a. how many of each ingredient will be needed to make 6 dozen cakes

This can be calculated as follows:

One dozen = 12

Number of small cakes in 6 dozen cakes = 6 * 12 = 72 small cakes

Number of 18 small cakes that can be obtained from 72 small cakes = 72 / 18 = 4

Therefore, we multiply each ingredient by 4 to obtain the number oof each ingredient that will be needed to make 6 dozen cakes as follows:

Number of grams of butter needed = 150 * 4 = 600g

Number of grams of sugar needed = 500 * 4 = 2,000g

Number of grams of currants needed = 100 * 4 = 400g

b. how many whole cakes could be made with 1kg of butter

Ordinary in terms of measurement, we have:

1kg = 1,000g

Since it is not indicated in the question that additional grams of other ingredients are made available, only 150g butter will be used out of the 1,000g butter made available together with already available 500g sugar and 100g currants to make just 18 cakes. This implies that no additional whole cakes will be made to add to the current 18 small cakes that is being made. Additional whole cakes would only be made when additional grants of sugar and currants are made available.

Therefore, the number whole that cakes could be made with 1kg of butter is still 18 small cakes.

WILL MARK BRINLIST Which pairs of angles are congruent because they are vertical angles? Check all that apply. 7373 34 56 21 and 24 pls don't joke ​

Answers

Answer:

B, D represent pairs of vertical angles.

___

Other pairs may be congruent, but they are not vertical angles. The lines that look parallel must be assumed to be NOT parallel, because they are not marked in the diagram as being parallel. Thus ∠8 ≠ ∠12, for example.

- sqdancefan

1. Sally decided to go early Christmas shopping at a local Wal-Mart. There was
a Black Friday sale and she bought a TV that was originally $200. The TV
was marked down 25%. How much did Sally pay after it was marked down?
(1 point)
T

Answers

Answer:

$175

Step-by-step explanation:

i need help yall i dont understand this

Answers

How bout 0.919 it works

answer and show work

Answers

Answer:

3x+2/4>-20

3x+2>-80

3x>-80-2

3x>-82

x>-82/3

Also simplified to, x>-27 1/3
B is the correct answer

It’s me again help thank you

Answers

Answer:

34.12-9.8=24.32

Step-by-step explanation:

a coin is tossed 4 times, find the probability of getting 4 heads.​

Answers

Answer:

1/16

Step-by-step explanation:

The probability of getting heads with 1 coin toss is 1/2.

For 4 tosses, the probability is 1/2 * 1/2 * 1/2 * 1/2 = 1/16

Which equation represents the polar form of x – y = 0?

A. θ = 0
b. Theta = pi/4
c. Theta = 3pi/4
d. θ = π

Answers

Your question: "Which equation represents the polar form of x – y = 0?"

Answer:

b. Theta = pi/4

We want to write an equation that represents the polar form of:

x - y = 0.

We will see that the correct option is b, the polar form is given by:

θ = pi*/4

First, polar form is a way to write equations using radius and angle as variables, instead of the known x and y that we usually use.

To change the variables we have the general rule:

R = √(x^2 + y^2)

θ = Atan(y/x)

So here we have:

x - y = 0.

Then we can write this as:

x = y.

Then the angle is given by:

θ = Atan(y/x) = Atan(x/x) = Atan(1) = 45°

Writing this in radians we get:

45° = 45°*(pi/180°) = pi*/4

Then we have:

θ = pi*/4

Then the equation that represents the polar form is:

θ = pi*/4

From this, we can see that the correct option is b.

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what should be added to 7 3/5 to get 18 (Step explanation )​

Answers

Plz mark it brainliest if it is useful for u

What is 2020 divided by 13?​

Answers

Answer:

155.384615385

Step-by-step explanation:

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