PLEASE HELP!!!!!!!!!!!!!!

PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer 1

Answer:

Step-by-step explanation:

(8x²-18x+10)/(x²+5)(x-3)

express the expression as a partial fraction:

(8x²-18x+10)/[(x^2+5)(x-3)] =A/x-3 +bx+c/x²+5

both denominator are equal , so require only work with the nominator

(8x²-18x+10)=(x²+5)A+(x-3)(bx+c)

8x²-18x+10= x²A+5A+bx²+cx-3bx-3c

combine like terms:

x²(A+b)+x(-3b+c)+5A-3c

(8x²-18x+10)

looking at the equation

A+b=8

-3b+c=-18

5A-3c=10

solve for A,b and c (system of equation)

A=2 , B=6, and C=0

substitute in the value of A, b and c

(8x²-18x+10)/[(x^2+5)(x-3)] =A/x-3 +(bx+c)/x²+5

(8x²-18x+10)/[(x^2+5)(x-3)] = 2/x-3 + (6x+0)/(x²+5)

(8x²-18x+10)/[(x^2+5)(x-3)] =

2/(x-3)+6x/x²+5

(4x+2)/[(x²+4)(x-2)]

(4x+2)/[(x²+4)(x-2)]= A/(x-2) + bx+c/(x²-2)

(4x+2)=a(x²-2)+(bx+c)(x-2)

follow the same step in the previous answer:

the answer is :

(4x+2)/[(x²+4)(x-2)]= 5/4/(x-2) + (3/2 -5x/4)/(x²+4)


Related Questions

Which one of these is a whole number?

a. 4/7
b.square root of 8
c.0
d.0.1

Answers

Answer:

The answer is C. 0

The answer is C because whole numbers are numbers with nothing with them ex.8

PLEASE ASPA HELP PLEASE ASAP ASAP

Answers

Answer:

B - y = 3x - 2

Step-by-step explanation:

The equation is y = mx + b

Where m is the slope of the line or rise over run

The slope is 3

Where b is the y intercept of the line

The y - intercept is -2

Answer:

B. y=3x-2

Step-by-step explanation:

We see that the graphs pass through the points (0,-2) ,(2,4) and (1,1)

Hence, we must find an equation of which both are a common solution..

Here in equation B,

by substituting x=0,2,1 and y=-2,4,1 respectively..

we get, that these values satisfy the solution... Indicating that (y=3x-2) is the equation of the graph

Write and solve an equation for the situation.

The perimeter of a parallelogram is 56 meters. The width of the parallelogram is 8 meters less than its length. Find the length and the width of the parallelogram.

Answers

Width is 10 and Length is 18
18-10=8
18+18+10+10= 56

The temperature at 5:00 a.m. was -23 °F. By 3:00 p.m., the temperature had risen to a high of 38 °F. If the temperature at 8:00 p,m. decreased from the high by 2/5of the change in temperature in Fahrenheit degrees from 5:00 a.m. to 3:00 p.m., what was the temperature at 8:00 p.m.? Round your answer to the nearest tenths place.

Answers

Temp at 8pm = 38 degrees - (2/5)(change in temp from 5 to 3)

38 - (2/5)(61)
38-24.4 = 13.6 degrees

A layer of water Ax m thick which lies x m above the bottom of the tank will be rectangular with length 8 m. Using similar triangles, we can see that it will have width x m. | 3 m + 3 i 3 m 3 8 m Step 2 The mass of the layer of water is approximately equal to its density (1000 kg/m3) times its approximate volume. m = Ax(1000) kg

Answers

the volume of water in the tank m = 1000 × 8A² = 8000A² kg

The given layer of water is rectangular in shape with a thickness of Ax m and 8m in length. So, the volume of water in the tank can be calculated using the formula;

V = l × w × h

Where; l = 8m, w = x m, and h = Ax m

Therefore; V = 8 × x × Ax = 8A² m³

The mass of water in the tank can be obtained using the formula;

m = density × volume

Therefore; m = 1000 × 8A² = 8000A² kg

learn more about density here

https://brainly.com/question/1354972

#SPJ11

Which is the best hypothesis for the scientific question “how does light intensity affect the rate of photosynthesis

Answers

As you rise from low light intensity to higher light intensity, the rate of photosynthesis will increase because there is more light available to drive the reactions of photosynthesis. ... A limiting factor could be the amount of chlorophyll molecules that are absorbing the light.

50 students tried out for the baseball team. 35 students made the team find the percent of decrease

Answers

Answer:

70% made it 30% didn't make it

Step-by-step explanation:

Step 1:

35/50 = x/100      Equation

Step 2:

50x = 3,500        Multiply

Step 4:

x = 3,500 ÷ 50      Divide

Answer:

x = 70

Hope This Helps :)

If four times a number is increased by 15, the result is three less than six times the number. Which
equation can be used to find the value of the number?

Answers

Answer:

4 times x + 15 = 6 times x -3

A flower bed measuring 3m by 1.5m is surrounded by a path 1m wide. Find the area of the path.

Answers

3.4  Step-by-step explanation:

The area of path is 13.5 m².

What is area of rectangle?

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.

Thus, the formula for the area, 'A' of a rectangle whose length and width are 'l' and 'w' respectively is the product "l × w".

length of flower bed = 3m

width of flower of bed = 1.5 m

length of bed along path = 3 + 1+ 1 = 5m

width of flower bed = 1.5 + 1+ 1 = 3.5 m

So, area of flower bed along path = 5 x 3.5 = 17.5 m²

and, area of flower bed = 3 x 1.5 = 4.5 m²

Thus, area of path = 17.5 - 4.5 = 13.5 m²

hence, the area of path is 13.5 m².

Learn more about area of rectangle here:

https://brainly.com/question/20693059

#SPJ2

what is the vertex of the parabola x^2+2x-8=y

Answers

Answer:

Vertex: (-1,-9)

Step-by-step explanation:

The vertex of an up-down facing parabola of the form y=ax^2+bx+c is x=-b/2a

Plug the values into the equation

a=1, b=2, c=-8

x=-2/(2*1)

Simplify

x=-1

Plug in x=-1 to find the y value

y=1(-1)^2 + 2(-1) + (-8)

y= -9

Then put them in a coordinate pair

Vertex: (-1,-9)

Write an equation in point-slope form for the line that has the given slope m and that passes through the given point.

m=1/4 ; (0, -2)​

Answers

The answer to your question is y+2=1/4(x-0)

A rotation turns a figure about a fixed point called the

Answers

center of rotation !!!

4. Find the slope of the following points. (4,5) (9,3)

A. 5/2
B. -2/5
C. -5/2
D. 2/5

Answers

the answer is -2/5 i think

Think of a context, ideally related to a work environment you
are familiar with, where you would like to run an experiment. Keep
it simple, just a 2 X 2 full factorial design. Specify your two
Indepen

Answers

Let's consider a manufacturing company that is looking to improve the efficiency of their assembly line. The company wants to conduct an experiment to evaluate the impact of two independent variables on the production output. The variables are the type of equipment used and the level of employee training.

Experiment Design: The company decides to employ a 2x2 full factorial design for their experiment. They create four different conditions by manipulating the two independent variables:

Condition A: Standard equipment, untrained employees.

Condition B: Standard equipment, trained employees.

Condition C: Upgraded equipment, untrained employees.

Condition D: Upgraded equipment, trained employees.

The company randomly assigns a group of employees to each condition and measures the production output (e.g., number of units produced per hour) for a set period of time.

Using the 2x2 full factorial design, the company can systematically assess the effects of equipment type and employee training on the production output.

By comparing the results across the four conditions, they can determine the main effects of each independent variable as well as any interaction effects between the variables.

The experiment will provide valuable insights into the optimal combination of equipment type and employee training for maximizing production efficiency.

The company can use the findings to make data-driven decisions on equipment upgrades and training programs, leading to improved productivity and cost-effectiveness in their assembly line operations.

To learn more about independent variables visit:

brainly.com/question/17034410

#SPJ11

a right triangle is formed by the y-axis, the line y=2x+4,and another line. If the legs of the right triangle intersect at (2,8,) what is the equation of the other line of the triangle.?

Answers

The equation of the other line of the triangle is x + 2y - 18 = 0.

A right triangle is formed by the y-axis, the line y = 2x + 4 and another line. If the legs of the right triangle intersect at (2, 8), then the point of intersection of the legs of the right triangle is (2, 8) which is also the vertex of the right triangle.

Let the equation of the other line be y = mx + c. The slope of the line passing through the point (2, 8) and the point of intersection of line y = 2x + 4 with x-axis is -1/2.

Slope of line y = 2x + 4 is 2. Therefore, the slope of the line perpendicular to y = 2x + 4 and passing through the point (2, 8) is (-1/2). Thus, the equation of the line is y - 8 = (-1/2)(x - 2) which simplifies to 2y - 16 = - (x - 2) and further simplifies to x + 2y - 18 = 0.

Know more about right triangle here:

https://brainly.com/question/29285631

#SPJ11

H is the circumcenter, or point of concurrency, of the perpendicular bisectors of ΔACE.
Triangle A C E is shown. Point H is the circumcenter of the triangle. Lines are drawn from each point of the triangle to point H. Lines are drawn from point H to the sides of the triangle to form right angles. Line segments H B, H F, and H D are formed.
Which statements must be true regarding the diagram?
Will mark brainliest if correct and the fastest

Answers

Answer:

A, C, D

Step-by-step explanation:

Just took the assignment :D

Jason receives some money for his birthday. He spends 15 of the money and has $14.40 left. Calculate how much money he received for his birthday. ​

Answers

He had $14.40 + $15 =39.40

Find the value of ( 3 raise to 0 + 4 raise to-1) × 2 raise to 2

Answers

Answer:

The answer is 5

Step-by-step explanation:

(3^0 + 4^-1) 2²

Zero power rule and Negative power rule:

(1 + 1/4) 4

Add then multiply:

(1.25) 4

=5

Which point approximates the solution to the
linear system graphed below?

-(0,-1)
-(1.25, 0.25)
-(0,1.5)
-(1.75, 0)

Answers

Answer: (1.25,0.25)

Step-by-step explanation:

Because I got it right.

The approximation the solution is (1.25, 0.25) option second (1.25, 0.25) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have given two straight lines shown in the coordinate plane.

As we can see both the lines intersect in the first quadrants.

Both the coordinate will be positive.

The approximation of the solution is (1.25, 0.25)

Thus, the approximation the solution is (1.25, 0.25) option second (1.25, 0.25) is correct.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ2

3. Use the discount factors to value a four-year coupon bond (face value of $1,000 and a coupon rate of 5% ). You do not need to use the binomial tree, but you can verify your calculation using the tree if you are unsure of the answer. A. What is the price or value of the bond? B. What is the yield to maturity of the bond?

Answers

To value a four-year coupon bond, we need to calculate the present value of its future cash flows, which include both the periodic coupon payments and the final face value payment. The discount factor is used to discount these cash flows back to their present values.

A. To calculate the price or value of the bond, we first need to determine the present value of the coupon payments. The bond has a face value of $1,000 and a coupon rate of 5%, which means it pays an annual coupon of $50 (5% of $1,000). Assuming annual coupon payments, we discount each coupon payment using the appropriate discount factor for the corresponding year. For example, if the discount factor for year one is 0.95, the present value of the first coupon payment would be $50 * 0.95 = $47.50. We repeat this calculation for each coupon payment and also discount the final face value payment. Finally, we sum up all the present values to obtain the price or value of the bond.

B. The yield to maturity (YTM) of the bond represents the rate of return an investor would earn if they hold the bond until maturity. It is the discount rate that equates the present value of the bond's cash flows to its current market price. To find the YTM, we need to iterate different interest rates until we find the rate that makes the present value of the bond's cash flows equal to its market price. This process involves solving a non-linear equation and can be done using numerical methods or financial calculators/software.

Learn more about coupon bond  here: brainly.com/question/32098576

#SPJ11

HEY CAN ANYONE PLS ANSWER DIS!!!!!!

Answers

The answer is d good luck on the test

A number is six more than one-half the other number, and the difference of their squares is 99. Find the numbers.

Applications Quadratic Equations

Answers

Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = y

Equation One

x = 1/2 y + 6;

2x = y + 12

2x - 12 = y

Second Equation

x^2 - y^2 = 99        Substitute for y^2

x^2 - (2x - 12)^2 = 99

x^2 - (4x^2 - 48x + 144) = 99

x^2 - 4x^2 + 48x - 144 = 99

- 3x^2 + 48x - 144 - 99 = 0

- 3x^2 + 48x - 243 = 0           Divide by -3

x^2 - 16x + 81 = 0

Use of the quadratic formula gives

8 +/- 123i

You may not know how to get complex numbers, but that is what this one comes to.

Zack needs $299.99 to buy the new bike he wants. He has saved $150 so far toward the new bike. From this week on, he will save $12.50 per week toward the new bike. Ten weeks from now, how much more money will he still need to save to buy the bike?

Answers

Answer:

$24.99

Step-by-step explanation:

299.99- 150 = 149.99

12.50x is greater than or equal to 149.99.

12.50(10) = 125

149.99- 125 =24.99

Answer:

$24.99

Step-by-step explanation:

$12.50 x 10 = $125

$125 + $150 = $ 275

$299.99 - $275 = $24.99

QUESTION 3. Use the Laplace transform to solve the following initial value problems. a) y"+y' - 2y = -4e-t, y(0) = 4, y'(0) = -9 b) y" - 3y + 2y = 0 2t for t < 3 for t≥ 3 y(0) = 3, y'(0) = 4 3 c) y" - 9y = 8(t - π), y(0) = -1, y'(0) = 2

Answers

We are given three initial value problems, and we need to solve them using the Laplace transform method. The problems are as follows: a) y"+y' - 2y = -4e^-t, y(0) = 4, y'(0) = -9; b) y" - 3y + 2y = 0, y(0) = 3, y'(0) = 4; c) y" - 9y = 8(t - π), y(0) = -1, y'(0) = 2. In this problem, we will apply the Laplace transform to solve each equation.

a) Taking the Laplace transform of the given equation and using the initial conditions, we obtain the transformed equation:

[tex]s^2Y(s) - sy(0) - y'(0) + sY(s) - y(0) - 2Y(s) = -4/(s+1)[/tex]

Simplifying and solving for Y(s), we get:

Y(s) = [tex](4s^2 + 17s + 21)/(s^2 + s - 2)[/tex]

Using partial fraction decomposition, we can express Y(s) as:

Y(s) = 3/(s-1) - 1/(s+2)

Now, we take the inverse Laplace transform to find the solution y(t):

y(t) = [tex]3e^t - e^{-2t}[/tex]

b) Applying the Laplace transform to the given equation and using the initial conditions, we obtain the transformed equation:

[tex]s^2Y(s) - sy(0) - y'(0) - 3Y(s) + 2Y(s) = 0[/tex]

Simplifying and solving for Y(s), we get:

Y(s) = (s+4)/(s-1)(s-2)

Using partial fraction decomposition, we can express Y(s) as:

Y(s) = 1/(s-1) - 1/(s-2)

Taking the inverse Laplace transform, we find the solution y(t):

[tex]y(t) = e^t - e^{2t[/tex]

c) Applying the Laplace transform to the given equation and using the initial conditions, we obtain the transformed equation:

[tex]s^2Y(s) - sy(0) - y'(0) - 9Y(s) = 8(1/(s^2) - π/(s^{2+1}))[/tex]

Simplifying and solving for Y(s), we get:

[tex]Y(s) = (s-4)/(s^2+9) - 8/(s^2(s^{2+1)})[/tex]

Taking the inverse Laplace transform, we find the solution y(t):

[tex]y(t) = (cos(3t) - 4sin(3t))/3 - 4t + 8sin(t)[/tex]

Hence, we have obtained the solutions to the given initial value problems using the Laplace transform method.

To learn more on Laplace  click:

https://brainly.com/question/32104512

#SPJ11

what is the pacific pattern they follow 2, 4, 6, 8,

Answers

they add 2 with each no.

2+2=4

4+2=6

6+2=8

8+2=10

the multiples of 2

HOPE IT HELPS (◕‿◕✿)

Answer:

the Pacific pattern is +2

Angie need to buy 140 candles for a party. Each package has 8 candles. How many packages should Angie buy?

Answers

17.5 packages. You divide 8 and 140

Answer

17 is the answer

Step by step answer

     

I’m confused what is 2/5 of 25 can someone help me

Answers

Answer: 10

Step-by-step explanation:

25/5 = 5

5*2 = 10

Which number is rational, an integer, and a real number?
o
A. -5
5
B.
C. There is no such number.
D. 1.5

Answers

Answer: I think its c

Step-by-step explanation:

A scatter plot is shown on the coordinate plane.

scatter plot with points at 1 comma 3, 2 comma 5, 3 comma 4, 3 comma 7, 4 comma 9, 5 comma 5, 6 comma 7, and 9 comma 7

Which two points would a line of fit go through to best fit the data?

(1, 3) and (9, 7)
(1, 3) and (4, 9)
(2, 5) and (6, 7)
(2, 5) and (5, 5)

Answers

Answer:

Plot the points on the graphing calculator. Then generate a linear regression equation. That equation is

y = .4039x + 4.2089

The two closest points to this line are

(2, 5) and (6, 7).

.4039(2) + 4.2089 = 5.0167

.4039(6) + 4.2089 = 6.6323

What is the image point of (-9, -2) after the transformation Rx-axis T-1,3?

Answers

Answer:

Step-by-step explanation:

4QWWQWQWQ

Other Questions
Based on your prior knowledge about physical activity and nutrition practices, what can yousay about the advertisement? Which effect did the Vikings have on European society? Aluminum has a density of 2.70g/cm what is the volume occupied by a block of aluminum which weights 4.32kg How do you feel about reading books? Do you agree or disagree with Faber? Why or why not? You have 500 g of water in a bottle. How many molecules of water do you have? What is love and why do fell that way What effect did the episode with the Empire Tern have on Phillip? He felt pride in the sailors and the ship. He feared for his father's life. He began to understand that war meant death and destruction. He wanted to fight the Germans himself. Which method of separation is used to separate a soluble solid from its solution?A) chromatography B)condensationC)crystallization D)filtration Which of the following goals is NOT a focus of typical community health promotion efforts?A.lower prescription costs B.long-term health C.disease prevention D.senior citizen health Which phrase best defines the term federalism simplify the following ratio : 7/8: 2/1 : 1 2/3 due tomorrow, please answer asap 1. Find the number which consists of 3 digits and the sum of the three digits is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. A mass oscillating up and down on the bottom of a spring can be modeled as harmonic motion. if they weight is displaced a maximum of 7 cm and it takes 4.0 sec to complete one cycle to the nearest hundredth of a cm how far above or below the resting position is the weight after 1.15 seconds ? Chromosomes move to opposite poles during anaphase because microtubules shorten at the centrosome, pulling the chromosomes which are anchored to the other end.Group of answer choicesTrueFalse I really need help with this- Which is not a principle of the kinetic molecular theory does someone want to do this for me :)) What is this expression in simplified form? Explain what diatomic molecules are