How do I solve this question ​

How Do I Solve This Question

Answers

Answer 1

The partial fraction form of the given fraction [x+5/(x-7)(x-5)] is

[A/(x-7)+B/(x-5)].

What is decomposition to partial fractions?For a rational fraction to be partially decomposed or expanded in algebra, the fraction must be expressed as the product of a polynomial and one or more fractions with a simpler denominator.Partial fraction decomposition is the process of taking a rational expression and breaking it down into smaller rational expressions that we can combine or divide to recover the original rational expression.

So, the fraction is:

x+5/(x-7)(x-5)

We know that:

px + q/(x-a)(x-b), a≠b ⇒ A/(x-a) + B/(x-b)

Use the same identity to get the partial fraction of the given fraction as follows:

x+5/(x-7)(x-5)A/(x-7) + B/(x-5)

Therefore, the partial fraction form of the given fraction [x+5/(x-7)(x-5)] is [A/(x-7) + B/(x-5)].

Know more about partial fractions here:

https://brainly.com/question/24594390

#SPJ13


Related Questions

rajesh is working out the are of the cirle with radius 10 he writes area=3.142x20 explain why rajesh is wrong

Answers

Answer:

100π = 314.1592654

Step-by-step explanation:

area of a circle πr²

π×10²

10×10 =100

100×π

Helppp!!! I need help I don’t know how to do this pleasee

Answers

Answer:10.85

Step-by-step explanation:

First you have to multiply a, 3 5/6, by b, 5 2/3. Which is 21.7222222, if you simplify it, you would get 21.7. Then you divide the total by 2 and you get 10.85.

Answer:

10 31/36 m

Step-by-step explanation:


formula for area of a triangle base times height times 1/2


we turn the height and base into improper fractions


3 5/6= 23/6

5 2/3=17/3

Now we multiply together to find area
23/6x17/3= 391/18

391/18x1/2=391/36

10 31/36


hopes this helps please mark brainliest

Find the formula, in standard form
y=ax2+bx+c , for a quadratic, that has roots at x=5+4√10 and x=5−4√10 , and has a leading coefficient of 1.

Answers

The quadratic equation in standard form that contains the roots 5 + 4√10 and 5 - 4√10 is y = x² - 10 · x - 135.

How to determine quadratic formula in standard form

In this question we must derive a quadratic equation in standard form, that is, a polynomial of the form:

y = a · x² + b · x + c

Where b / a = - r₁ - r₂ and c / a = r₁ · r₂ and r₁ and r₂ are the roots of the polynomial. If we know that a = 1, r₁ = 5 + 4√10 and r₂ = 5 - 4√10, then the quadratic equation is:

y = a · [x² + (b / a) · x + (c / a)]

y = x² + (- 5 - 4√10 - 5 + 4√10) · x + (5 + 4√10) · (5 - 4√10)

y = x² - 10 · x + 25 - 160

y = x² - 10 · x - 135

y = x² - 10 · x - 135 is the quadratic equation in standard form.

To learn more on quadratic equations: https://brainly.com/question/1863222

#SPJ1

I understand it but it won't give me the marks for explaining. What should I try?​

Answers

Answer:

B is never true

Step-by-step explanation:

you can't get a negative number when you have a even power

Bimpe rues 5km per hour faster thean she walk- If she runs for 45 minute and walks for 3 hour.

! BE A GOOD NAJM/ NAJMAH, AL​

Answers

Answer:

See below

Step-by-step explanation:

I think you may have left some info out of your question post, but here is something that may help you:

x = walk speed    km/hr

x + 5 = run speed     km/hr

45 min = 3/4 hr  = .75 hr

(.75)(x+5)      +      3 * x   = total distance   in  km

3.75x + 3.75 = total distance

How long is 10:00am to 5:00 pm

Answers

Answer:

7 hours.

Step-by-step explanation:

Use a clock and count forward.

2
Linda paid $5.50 for 4 pounds of
strawberries. How much did she pay
per pound of strawberries?

Answers

Answer:

$ 1.38

Step-by-step explanation:

5.50 ÷ 4 = 1.375. rounded to 2 dp: 1.38

enter an expression in the box to write the equation of a line that passes through the point (-6,2) and is perpendicular to the line y= 3/2x + 4

Answers

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{2}}x+4 \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{3}}}[/tex]

so we're really looking for the equation of a line whose slope is -2/3 and that it passes through (-6 , 2)

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- \cfrac{2}{3}}(x-\stackrel{x_1}{(-6)}) \implies y -2= -\cfrac{2}{3} (x +6) \\\\\\ y-2=-\cfrac{2}{3}x-4\implies {\Large \begin{array}{llll} y=-\cfrac{2}{3}x-2 \end{array}}[/tex]

Please help ASAP will mark brainliest
Plot the points ( -3, 7 ) and ( 9, 0)
Find the distance between the points and the midpoint of the line segment joining the points.

Answers

Answer: 13.89 units

PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!

What is [tex]\frac{1000}{\frac{4}{3}\pi }[/tex]

Answers

The result of the expression as given in the task content is; 750/π.

What is the result of the quotient?

It follows from the task content that the result of the division operation as given in the task content is to be determined.

Given the expression; 1000 ÷ (4/3)π

The expression can therefore be rewritten as follows;

1000 × (3/4) π

Hence, we have;

3000/4π

By further simplifying the expression; we have;

750/π

Hence, the result of the division as given in the task content is; 750/π.

Read more on simplification of expressions;

https://brainly.com/question/13742517

#SPJ1

2
Select the correct answer from each drop-down menu.
Julia and Kellen are participating in a read-a-thon to raise money for charity. The money each of them raises will be a mix of fixed and per-page
donations.
Function / models the total amount, in dollars, that Julia will raise if she reads x pages:
j(x) = 1.65x + 17.31.
Function k models the total amount, in dollars, that Kellen will raise if he reads x pages:
k(x) = 0.90x+9.28.
The function
If they both re
h(x)=0.75x+26.59
h(x) = 0.75x+8.03
h(x) = 2.55x+8.03
h(x) = 2.55x+26.59
represents the difference between the amounts Julia and Kellen will raise when they both read x pages.
ence will be $
Reset
Next

Answers

I don’t understand what you are saying

helpppp please??? brainlesttttt

Answers

a_n=-7+11n

Hope it helps

2
Linda paid $5.50 for 4 pounds of
strawberries. How much did she pay
per pound of strawberries?

Answers

She paid $1.375 per pound of strawberries.

What is the unit rate?

When expressed rate as a fraction, a unit rate has a denominator of 1.

Since 4 pounds cost $5.50, 1 pound of strawberries will cost 5.50/ 4 ≈ $1.375.

To learn more about the unit rate from the given link

https://brainly.com/question/4895463

#SPJ1

15. Given the following measurements in
parallelogram ABCD, find the PERIMETER of
CED
AC 34 in. AB = 26 in. BD = 28 in.

P =
20 points for whoever answers

Answers

The Perimeter of CED AC is 34 in. AB is 26 in. BD is 28 in. P is 57 in.

Explain about the parallelogram?

A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.

Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.

Two parallel pairs of sides make up a parallelogram, a quadrilateral. Four right angles form a parallelogram called a rectangle. Rhombus: An equal-length parallelogram with four sides.

The diagonals of a parallelogram bisect each other AC = 2 CE

Substitute AC= 34 into AC = 2 CE 34 = 2CE

Calculate 34 = 2 CE CE = 17

The diagonals of a parallelogram bisect each other BD = 2DE

Substitute BD= 28 into BD = 2DE  28 = 2DE

Calculate 28 = 2 DE DE = 14

Opposite sides of parallelogram are congruent AB = CD

Substitute AB = 26 into AB = CD CD = 26

Perimeter of a triangle PΔCDE = CE + CD + DE

Substitute  CE = 17 DE = 14 CD = 26 PΔCDE = CE + CD + DE

PΔCDE = 17+ 26 + 14

PΔCDE = 57

To learn more about parallelogram refer to:

https://brainly.com/question/970600

#SPJ1

Find the missing number in the following puzzle.

Answers

Try 14 and 25 ………… ……

Mrs. Reed is buying seeds to start a vegetable garden. She purchases 12 packets of bean seeds, 15
packets of carrot seeds, and 2 packets of corn seeds. Choose Yes or No to tell if each statement about
the purchase is correct.

Answers

Step-by-step explanation:

Mrs. Reed is buying seeds to start a vegetable garden. She purchases 12 packets of bean seeds, 15

packets of carrot seeds, and 2 packets of corn seeds. Choose Yes or No to tell if each statement about

the purchase is correct.

1.) Ace wanted to buy a gift for his mother
worth $18.60. He has $7.40 in Savings
and another $6.30 Saved from his
allowance for the past two weeks. How much more
does he need to save this week?

Answers

Answer:

$4.90

Step-by-step explanation:

He already has $13.70 (7.40+6.30) saved up so you have to subtract that from 18.60 to find the total Ace needs to save up.

18.60-13.70=4.90

To check your answer, you can add 7.40, 6.30, and 4.90 and see if you get a total of 18.60.

Check: 7.40+6.30+4.90=18.60

The table and corresponding frequency polygon show information about the
waiting times of some patients at a dentist.
What fraction of patients waited for more than 7 minutes?
Frequency
10
5
5
Waiting time (a minutes)
10
P
Waiting time
(a minutes)
5< x≤6
6<257
7<#58
8< x≤9
9< x≤ 10

Answers

The fraction of the patients that have a waiting time of more than 7 minutes found by using the area under the curve is 269/312

What is a fraction in mathematics?

A fraction indicates the quantitative comparison showing the number of times one quantity is contained in another quantity.

The area under the frequency curve is found as follows;

Dividing the area into composite shapes of a rectangle, triangle and trapezoid, we get;

(9.2 - 5.5) × 4 + (4 + 2)×3/2 + (2.5 + (9.2 - 5.5)) × 1/2 + (2.5 + 1.2) × 2/2 + 1.2 × 1/2 = 31.2

The area for those that have a waiting time of more than 7 minutes is therefore;

(9.2 - 5.5) × 4 + (4 + 2)×3/2 + (2.5 + (9.2 - 5.5)) × 1/2 = 26.9

The fraction that have a waiting time of more than 7 minutes is therefore;

26.9/31.2 = 269/312  ≈ 0.862

The fraction of the patients that have a waiting time of more than 7 minutes is 269/312

Lear more about fractions here:

https://brainly.com/question/78672

#SPJ1

x-intercept of (y+12) = 3(x - 9)

Answers

This problem equals 3

Answer: purple is the greatest

The burner is the engine of the balloon. What is the role of a resistor in an engine?

Answers

A ballast resistor is utilized inside the ignition system of automobile engines or balloons. it acts as a resistor for the ignition ballast.

Between the main source of both the ignition coil & the coil stud, there's an ignition ballast resistor. It lowers the ignition coil's risk of failure.

An ignition ballast resistance assists in lowering the coil voltage & coil current when the generator revs the engine.

Minimal current consequently results in a low-temperature increase. Additionally, the ignition coil lives a long time as a result.

However, an ignition system requires a greater voltage that is also the same as the power source's voltage. Therefore, a resistor for the ignition ballast is connected to the jumper wire. The jumper wire additionally supplies the ignition with the necessary voltage when starting the engine.

Learn more about resistor here

https://brainly.com/question/17563681

1. Kevin took $45 with him to spend on snack for himself and his friends at the movie theater. The price for each bucket of popcorn was $4. The price of each drink was half the price of a bucket of popcorn.
(a) Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of buckets of popcorn and the other axis to represent the number of drinks.
(b) Explain your graph.

Answers

The equation of the relationship is 2x + 4y = 45 and the graph is attached

How to sketch the graph?

From the question, we have the following parameters:

Amount = $45Price of each bucket of popcorn = $4Price of each drink = Half the price of each bucket of popcorn

This means that

Price of each drink = Half $4

Evaluate

Price of each drink = $2

Represent the number of drinks with x and the number of bucket of popcorn with y

So, we have the following representation

Total amount of popcorn + Total amount of drinks = Total amount

This gives

2x + 4y = 45

Next, we sketch the graph

See attachment for the graph of the equation

The explanation of the graph

The graph is represented by a straight line

This means that it is a linear equation

Also, the graph touches the axes at (0, 11.25) and (22.5, 0)

This means that the highest number of drinks and buckets are 11.25 and 22.5 respectively

Read more about linear equations at

https://brainly.com/question/2030026

#SPJ1

A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 4 points with 99% confidence assuming S=13.8 based on earlier​ studies? Suppose the doctor would be content with 90 confidence. How does the decrease in confidence affect the sample size​ required?

Answers

The way the decrease in confidence affect the sample size​ required is: A. Decreasing the confidence level decreases the sample size needed.

How to find the sample size ?

Using this formula to find the decrease in sample size

n = [zs/E]^2

Where:

n = Sample size

zs = z-score

E=  margin of error

Confidence coefficient for 99% = 2.58

Hence,

2.58 × 13.8/sqrt(n) = 0.04

2.598 × 13.4 /0.04 = sqrt(n)

( 2.598× 13.8 /0.04)^2  = n

n=803,371.6

So,

Confidence coefficient for 90% = 1.64

n= (1.64× 13.8/0.04)^2

n =320,129.64

Therefore the correct option is A.

Learn more about sample size here: https://brainly.com/question/28583871

#SPJ1

The complete question is:

A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. How many subjects are needed to estimate the mean HDL cholesterol within 4 points with 99% confidence assuming S=13.8 based on earlier​ studies? Suppose the doctor would be content with 90 confidence. How does the decrease in confidence affect the sample size​ required?

How does the decrease in confidence affect the sample size required

A. Decreasing the confidence level decreases the sample size needed.

B. The sample size is the same for all levels of confidence.

C. Decreasing the confidence level increases the sample size needed.

(b)
The table below shows the cost price, selling price and profit or loss as a percentage of the cost
price.
Complete the table below, inserting the missing values at (i) and (ii).
(i)
(ii)
Cost Price
$55.00
(c) The table shows some rates of exchange :
Calculate the value of
(i) EC $ 1 in TT $......
(ii) US $80 in EC $ .
(iii) TT $648 in US $. .....
Selling Price
$44.00
$100.00
US $1.00 = EC $2.70
TT $1.00 = EC $ 0.40
Percentage
Profit or Loss
25% profit
(4 marks)
. (1 mark)
. (1 mark)
...... (3 marks)
Total 12 marks

Answers

Answer:

US$1.00=EC$2.70 TT$1.00=EC$0.40 calculate the value of : 1.EC$1in TT$ 2.US$80inEC$ 3.TT$648 in US$

Step-by-step explanation:

that what i've got is that I hope that helps you

If x = 2 and t = 4, what is the value of 1/8(x^3− 4)(t² + 8)?

Answers

Answer:

64

Step-by-step explanation:

you need to plug the number in subtract and add then multiply the number from the first pair of parenthesis into the main number and after multiply the second pair into it.

Is the function that cuts through the points (2, 3) and (-1, 6) increasing or decreasing? a. increasing c. neither b. decreasing d. cannot be determined Please select the best answer from the choices provided A B C D Mark this and return

Answers

The function is decreasing.

Select all of the solutions for the linear inequality graphed below:

Answers

The solutions to the inequality whose graph is as represented in the attached image are;

A) (-4, 0)C) (0, 0)E) (-2,0)Graphical solution of inequalities.

It follows from the task content that the graphical solutions for the inequality are represented on the graph and the points which are solutions for the inequality are to be identified.

Therefore, the points which are solutions for the inequality are points which are located in the shaded region of the graph.

Hence, such points include;

A) (-4, 0)C) (0, 0)E) (-2,0)

The answer choices B, D and F represents points on the border line of the inequality graph and since the line is broken, they are not solutions to the inequality.

Read more on inequality graph;

https://brainly.com/question/28441885

#SPJ1

Please help: Which numbers are in order from least to greatest?

A.
0.561, 8.627, 5.325

B.
4.057, 4.122, 5.008

C.
1.742, 1.558, 1.671

D.
6.705, 6.527, 6.211

Answers

B. They go up in order

9. The sum of two numbers is 130 and their difference is 34. Let x be the first number and y be the second
number. Set up a system of equations and use the elimination method to find the numbers. You must
show your work.

Answers

Using the system of equations and use the elimination method the two numbers are 82 and 48.

What is the elimination method?

To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are equal.

Here, we

let the first number = x

let the second number = y

according to the given conditions:

x + y = 130 ........(1)

x - y = 34 .........(2)

Using the elimination method we add both equations (1) and (2) and we get

2x = 164

x = 164/2 = 82

Now, we substitute the value of x in eq (1) and we get

82 + y = 130

y = 130-82

y = 48

Hence, using the system of equations and use the elimination method the two numbers are 82 and 48.

To learn more about the elimination method from the given link

https://brainly.com/question/28405823

#SPJ1

A gallon of water contains 128 fluid ounces. A rain barrel can hold 6,400 ounces of rainwater.
Estimate how many gallons of water can the barrel hold?

Answers

Answer:

50 gallons

Step-by-step explanation:

6400 ÷ 128

= 50

Which expression is equivalent to the expression below?

2.1 + (–3.7h) + 1.9h – 1.4
3.5 – 5.6h
−1.1h
0.7 + 1.8h
0.7 – 1.8h

Answers

Using the simplification, the equivalent expression of 2.1+(–3.7h)+1.9h–1.4 is 0.7–1.8h.

In the given question we have to find the equivalent expression of the given expression.

The given expression is 2.1+(–3.7h)+1.9h–1.4

Now solving the given expression to find the equivalent expression.

Now solving the expression

=2.1 + (–3.7h) + 1.9h – 1.4

Firstly simplifying the bracket

=2.1–3.7h+ 1.9h – 1.4

=(–3.7h+ 1.9h)+(– 1.4+2.1)

= –1.8h + 0.7

We can write it as

=0.7–1.8h

Hence, the equivalent expression of 2.1+(–3.7h)+1.9h–1.4 is 0.7–1.8h.

To learn more about simplification link is here

brainly.com/question/12868965

#SPJ1

Other Questions
According the world health organization, what is the ideal cesarean section rate?. 22 in some companies, the performance measures for profit center managers are heavily influenced by cost allocations downward from organizational units (such as company headquarters). why is this a mistake? what role did consumers play in slowing the economy down in the 1920s? consumers demanded fewer goods. jones company has $500,000 of 10-year bonds payable outstanding. these bonds had a premium of $60,000 at issuance, which was 5 years ago. the company uses the straight-line amortization method. the current carrying amount of these bonds is: a satellite of mass 1000 kg is in a circular orbit around a planet. the centripetal acceleration of the satellite in its orbit is 5 ms2. what is the gravitational force exerted on the satellite by the planet? Finding a Missing Endpoint f(x) = -x + 3x +9x=4 dnp is a toxin that destroys the proton gradient created by the electron transport chain. where in the cell does dnp act? a. plasma membrane b. mitochondrial matrix c. inner mitochondrial membrane d. nuclear membrane The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (4,160) and (6,240) to find the number of soda bottles the machine can make each minute. PLEASE HELP!!!!Which story matches the graph?(1 point)The elevator moves up, is stationary for a while, then moves down at a faster rate.The elevator moves up, stays at ground level, then moves down at a faster rate.The elevator moves up, stays at ground level, then moves down at a slower rate.The elevator moves up, is stationary for a while, then moves down at a slower rate. a solid box is 1515 cm by 1010 cm by 88 cm. a new solid is formed by removing a cube 33 cm on a side from each corner of this box. what percent of the original volume is removed? __________ occurs when the mothers body begins to fight off foreign blood protein produced by the fetus. a. non-teratogenesis b. rh-factor incompatibility c. reduced blood oxygenation d. a neural tube defect please select the best answer from the choices provided a b c d What hardware component is the main brain of the computer system that is responsible for all the activities of the processor stage of the IPOS cycle simplify (55x + 46y) - (29x - 10y) singh company reports a contribution margin of $960,000 and fixed costs of $720,000. (1) compute its income. (2) compute its degree of operating leverage. (3) if sales increase by 15%, what amount of income is expected? What is Bradburys solution to totalitarian regimes? certain bacteria and viruses are more likely to be spread by fomites than other species of microbes. research pathogens that are commonly transmitted by fomites and provide one bacteria and one virus example. describe how fomite-spread pathogens gain access to the body and the most effective methods for preventing transmission. according to keynesian economic theory, what kinds of actions should government take to achieve full employment? if a bond's yield to maturity exceeds its coupon rate, the bond's . a. price must be less than its par value b. current yield is equal to the coupon rate c. maturity value is less than the bond's market value d. current yield is equal to the capital gain on the maturity of the bond e. maturity value is more than its face value 2. On which plane does the point (0,-1,5) lie? (1 point)O the xy-planeO the xz-planeO the yz-planeO the xyz-plane