differentiate y=a/x+b with respect to x, when a and b are constant​

Answers

Answer 1

Answer:

-a/(x+b)²

Step-by-step explanation:

Given the function y = a/x+b

To differentiate, we will use the quotient rule.

dy/dx = (Vdu/dx-Udv/dx)/V²

Let u   = a

v = x+b

Note that differential of a constant is zero

du/dx = 0

dv/dx = 1

Substitute

dy/dx = (x+b)0 - a (1)/(x+b)²

dy/dx = 0 - a/(x+b)²

dy/dx = -a/(x+b)²


Related Questions

Tyrell buys a sandwich for $7 and some cookies that cost $0.75 each. To use his debit card, Tyrell must make a purchase at least $10. how many cookies does he buy

Answers

Tyrell needs to buy 4 cookies


In the diagram below, O is circumscribed about quadrilateral ABCD. What is
the value of ?


Answers

Answer:

21

Step-by-step explanation:

Trust

The value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.

We have:

In the diagram below, O is circumscribed about quadrilateral ABCD.

In a quadrilateral, the sum of the opposite angles is equal to 180 degree

5x + 75 = 180

5x = 105

x = 21

Thus, the value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

Learn more about the quadrilateral here:

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Please help ASAP. Thanks so much

Answers

Answer:

its A

Step-by-step explanation:

a is the answer bestie



A

what is the value of x ?
a. 10.4
b. 52
c. 61.6
d. 92

Answers

the answer is 10.4 because 180 - 128 is 52 then divide by 5 which gives you 10.4 :)

Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept 2 .

Answers

Answer:

Y= -3/2x + 2

If the y-intercept was negative it would be y= -3/2-2

What is 0.5 (0.1)(1/2)

Answers

Answer:

0.025

Step-by-step explanation:

PLEASE I NEED HELP I GOT A PUPPY AND IM EXHAUSTED HE DOESNT SLEEP AT NIGHT

Answers

Answer:

False

Step-by-step explanation:

Plug 16 into the function as x

16+12=28

4≠28

Please help 30 points pls

Answers

Answer:

4.75b; 8

Step-by-step explanation:

Area of triangle: height ÷ 2 × base

38 = 9.5 ÷ 2 × b

    = 4.75 × b

38 = 4.75b

b = 38 ÷ 4.75

b = 8

Answer:

4.75 & 8

Step-by-step explanation:

Hope this helps

Point P on a coordinate plane, located 3 units to the left of the vertical axis and 2 units below the horizontal axis.
A. (–3, –2)
B. (–3, 2)
C. (–2, –3)
D. (–3, –3)

Answers

Answer:

A. (-3,-2)

follow me please
Answer : A. (-3,-2)
This is the correct answer

5th grade math. Correct answer will be marked brainliest:

Answers

Answer:

(6,6)

Step-by-step explanation:

Answer:

(6,6)

Step-by-step explanation:

hope this helps have a great day.

How do you graph x+6y=0

Answers

Answer:

We need to put this equation into either form of a line, pererably, slope intercept form!

Step-by-step explanation:

To do this, out goal is to get y alone.

1. We subtract x on both sides.

2 We divide 6 on both sides.

3. Our answer is y= -x/6 ( negative x divided by 6)

4. The y-intecept value is when x is equal to zero, so plug in 0 for x and solve for y.

5. The y intercept is (0,0)

6. From (0,0) point, you go down -1 and move 1 to the right each time!

The graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph this equation, start by rearranging it to solve for y.

y = -x/6

Next, plot a few points to fill in the graph.

when x is 0,

y is 0.

When x is 6,

y is -1, and

when x is -6, y is 1.

Finally, connect the plotted points with a straight line.

The final graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).

Hence, graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).

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When f ( x ) = 9 x 2 + x − 5 , evaluate f ( − 4

Answers

Answer:

is that supposed to be a squared x?

9(-4)^2 + (-4) - 5 = 135

9(-4) × 2 + (-4) - 5 = -81

id.k which one is right sorry

F ( x ) = 9 x 2 + ( -4 ) - 5. 18 - 4 - 5. 12-5. 7

solve r/13.7 = 5 for x

please help asap

Answers

Answer: x=68.5

Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.

Use the data on the dot plot to answer the question.​

Answers

Answer:

5

Step-by-step explanation:

x < 7

Which means 6 and below

only 5 people slept for less than 7 hours

Answer:

5 people

Step-by-step explanation:

Cuz you have to look what’s to the left of 7 and count the dots in 5 and 6

I need help with this problem please

Answers

Answer:

-9

Step-by-step explanation:

Remove parentheses.

9(−1)2−7

Subtract 77 from 22.

9(−1)−5

Rewrite the expression using the negative exponent rule b−n= 1/bn

91(−1)5

Raise −1 to the power of 5.

9(1/-1)

Divide 1 by −1.

9⋅−1

Multiply 9 by −1.

−9

A child gets 1 egg on their
1st birthday. They get 2 on
their 2nd, 3 on their 3rd etc.
How many years will it be
before they have received 91
eggs in total?​

Answers

Answer:91 years

Step-by-step explanation:

How can postulates and theorems relating to similar
and congruent triangles be used to write a proof?​

Answers

Don’t click any links ON THIS AP

A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag

complete one column of the table with prices where popcorn is priced..... and to be continue ​

Answers

Answer:

The price for a 60-ounce bag of popcorn would be $16

Step-by-step explanation:

Answer:

The price for a 60-ounce bag of popcorn would be $16

Step-by-step explanation:

Function Modeling

The behavior of some parameters that depend on a set of variables can be modeled in several ways, like linear, quadratic, exponential, logarithmic, among many others.

The selection of the model is often a complex decision that involves statistics and data analysis.

The question provides us with four points where the volume of popcorn bags and the price in dollars. The easiest function that can be used is the line.

The equation of a line of the volume V and the price p can be found with the expression

We'll use the first two values (6,10) (8,20)

Simplifying and rearranging, we get the model

To test the accuracy of the model, we compute the values of p for V=35 and for V=48

Since the computed values are equal to those of the table, the model is accurate. We can now predict the price for V=60

The price for a 60-ounce bag of popcorn would be $16

help please i’ll give extra points

Answers

Answer:

P would be reflected into quadrant 4.

Step-by-step explanation:

Answer:

Quadrant 4

Step-by-step explanation:

The quadrant under P is quadrant 4. Imagine putting a mirror on the x-axis, where would P be? It would be on the fourth quadrant, the quadrant underneath P.

Have a nice day!

Write each percentage as a fraction in simplest form.
1. 50% 2. 99% 3. 15%
4. 200%

Answers

Answer:

1. 1/2

2. 99/100

3. 3/20

4. 2

Select the correct answer. The hiking club is getting new T-shirts and will vote to choose the design. Marianna and Chloe are each designing a T-shirt using a computer program. Marianna’s design features an image of the mountains, with the peaks and valleys modeled by function m, where x is the horizontal distance, in inches, from the left edge of the design. Chloe’s design also features an image of the mountains, with the peaks and valleys modeled by function c, where x is the horizontal distance, in inches, from the left edge of the design. Which T-shirt design has the lowest valley floor over the first 6 inches of the design? Both designs have valley floors at the same height over the first 6 inches of the design. Marianna’s design doesn’t have a valley floor over the first 6 inches of the design. Chloe’s design has the lowest valley floor over the first 6 inches of the design. Marianna’s design has the lowest valley floor over the first 6 inches of the design.

Answers

Answer:

Step-by-step explanation:

What are the choices

Answer:

mariannas design has the lowest valley floor over the first 6 inches of the design

Step-by-step explanation:

correct.

three times the quotient of 3 and 5

Answers

Quotient means division, so three times of the quotient means 3 divided by 5 = 0.6
0.6 x 3 = 1.8.

Three times the quotient of 3 and 5 is equivalent to 1.8


Expressions and equations

The question asked us to convert the word problem to equation and solve.

The quotient of 3 and 5 is expressed as 3/5

Taking the product of the result and 3 will give;

Three times the quotient of 3 and 5 = 3 * 3/5

Three times the quotient of 3 and 5 = 9/5 = 1.8

Hence three times the quotient of 3 and 5 is equivalent to 1.8

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What is the maximum value and what is the point the maximum value is at?

Answers

9514 1404 393

Answer:

  z = 47 at (x, y) = (3, 8)

Step-by-step explanation:

In the attached graph, the inequalities are graphed as their opposites, so the feasible solution region is the white area of the graph. The dashed boundary lines are part of the feasible region. The vertex of the feasible region that is farthest from the origin is ...

  (x, y) = (3, 8)

The value of z there is 5·3 +4·8 = 47.

The maximum value of z is 47 at the point (x, y) = (3, 8).

cacula las dimensiones de un rectangulo sabiendo que su area es de 66cm y su base mide 5cm mas que su altura

Answers

Answer:

Calcular las dimensiones de un rectángulo, sabiendo que es 4cm más largo que ancho y ... Área = base•altura ... Encuentra más respuestas.

Step-by-step explanation:

Answer:

how do you translate?

Step-by-step explanation:

a patients dose of medication increased from 100mg to 150mg. What is the percent increase in medication?

Answers

Answer:

The answer is 50% increase. Hope this helped!

Step-by-step explanation:

50% is the correct answer to this problem hope it helps

Use the formula C = 5 over 9(F - 32) to write 126° F as degrees Celsius, round to the nearest tenth.

Answers

52° is your answer :)

Which expressions are equivalent?
1. 3x-7y and -7y+3x
2. 3x-7y and 7y-3x
3. 3x-7y and 3y-7x
4. 3x-7y and-3y+7x

Answers

Answer:

1. 3x-7y and -7y+3x

Step-by-step explanation:

1. 3x -7y and -7y +3x

This is correct because the terms remain unchanged. The -7y stays a -7y and the positive 3x stays a positive 3x.

2. 3x -7y and 7y -3x

This is not correct because the signs of the 3x and 7y switch. For the expressions to be equivalent, the signs must remain unchanged.

3. 3x -7y and 3y -7x

This is not correct because the variables of the 3 and 7 switched. The variables need to stay the same, for the expressions to be equivalent.

4. 3x-7 and -3y+7x

This is not correct because both the variables and the signs of the expressions changed. Both the signs and variables would need to stay the same in order to be equivalent.

A lab currently has 70 mg of radioactive material that decays at 3.5% per year. Federal regulation for the substance says that the material must be safely stored until it reaches its half-life, at which time the material can be disposed.

How many years will the lab have to safely

store the material before disposal?

Answers

Answer:

The lab will have to wait 19.45 yers to safely store the material before disposal.

Step-by-step explanation:

Exponential equation for substance decay:

A exponential equation for the amount of a substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Decays at 3.5% per year.

This means that [tex]r = 0.035[/tex]

So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]A(t) = A(0)(0.965)^{t}[/tex]

How many years will the lab have to safely store the material before disposal?

It needs to reach half-life, that is, t for which A(t) = 0.5A(0). So

[tex]A(t) = A(0)(0.965)^{t}[/tex]

[tex]0.5A(0) = A(0)(0.965)^{t}[/tex]

[tex](0.965)^t = 0.5[/tex]

[tex]\log{(0.965)^t} = \log{0.5}[/tex]

[tex]t\log{0.965} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.965}}[/tex]

[tex]t = 19.45[/tex]

The lab will have to wait 19.45 yers to safely store the material before disposal.

-7 2/3+(-5 1/2) +8 3/4=

Answers

Exact Form : -53/12
Decimal Form : -4.416
Mixed numbers : -4 5/12

Step-by-step explanation:

Please refer to the attachment

Hey all!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

Answers

Answer:

65°

Step-by-step explanation:

Use the law of cosines:

cos C = (25² + 27² - 28²)/(2*25*27)cos C = 0.4222m∠C = arccos 0.4222m∠C = 65°
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