i will KISS U ON THE MOUTH IF U HURRY PLS HELP find the derivative dy/dx for y=(x^2+4x) / (x^3-5)

Answers

Answer 1

Use the quotient rule:

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(x^3-5)\frac{\mathrm d(x^2+4x)}{\mathrm dx}-(x^2+4x)\frac{\mathrm d(x^3-5)}{\mathrm dx}}{(x^3-5)^2}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{(2x+4)(x^3-5)-3x^2(x^2-4x)}{(x^3-5)^2}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{x^4 - 16 x^3 + 10 x + 20}{(x^3-5)^2}[/tex]


Related Questions

7/3 + 4/7 plz help me it’s 14 point

Answers

Answer:

2 19/21, 61/21

Step-by-step explanation:

First, lets make the denimonators, "3 and 7" common. 3 and 7 are prime numbers, so the common denonminator is "21".

For 7/3, multiply by "7/7" and for 4/7 multiply by "3/3".

49/21 + 12/21

Add.

61/21

61 is a prime number so this answer will be your final answer.

(unless you have to put it as a mixed number which would be 2 19/21)

Answer:

61/21

Step-by-step explanation:

The 2 fractions must have a common denominator and you do that by finding the LCM and the multiply the numerators by what you multiplied the denominators by in order to get that number. From here you must add the numerators together and keep the denominator the same and then you get that answer. You cannot simplify anymore so your answer is above.

(hope you get it right)

Mark Brainliest Please

Please help me find the missing measurements of this :)

Answers

Answer:

4mm

Step-by-step explanation:

The ratio of the two congruent shapes are 2.5:1

15 : 6 = 2.5 : 1

15/6 = 2.5

5 : 2 = 2.5 : 1

5/2 = 2.5

Therefore, 10 : x = 2.5 : 1

10/x = 2.5

x = 4

Answer: 15, 2, 6, and 5

Step-by-step explanation: they are equal to the measurements listed

6. If the sequence below is an arithmetic sequence then what will the next two numbe

the sequence be?

Sequence: 3, 9....

a. 18, 36

c. 15, 45

b. 27,81

d. 15, 21

Answers

mmmmmm I’m pretty sure it’s a.
The answer is d because the it’s an arithmetic sequence which means adding and subtracting. (Common difference) Geometric which means multiplying and dividing. ( Common Ratio)

In response to the increasing weight of airline passengers, the Federal Aviation Administration in 2003 told airlines to assume that passengers average 192 pounds in the summer, including clothing and carry-on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 31 pounds. Weights are not Normally distributed, especially when the population includes both men and women, but they are not very non-Normal. A commuter plane carries 21 passengers. What is the approximate probability that the total weight of the passengers exceeds 4432 pounds

Answers

Answer:

The approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709

Step-by-step explanation:

[tex]\mu = 192[/tex]

[tex]\sigma = 31[/tex]

No. of passengers = n = 21

We are supposed to find the approximate probability that the total weight of the passengers exceeds 4432 pounds

[tex]x = \frac{4432}{21} \sim 211[/tex]

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{211-192}{31}[/tex]

Z=0.612

refer z table

P(Z<211)=0.7291

P(Z>211)=P(Z>4432)=1-0.7291=0.2709

Hence the approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709

The double number line shows that 5 pounds of avocados cost $9.

0

Avocados

5

(pounds)

Cost

H

(dollars)

0

9

Based on the ratio shown in the double number line, what is the cost for 1 pound of avocados?

S

Answers

Answer:

$1.8

Step-by-step explanation:

Given :

5 pounds of avocado = $9

This means that 5 pounds of avocado cost $9; The cost of 1 pound of Avocado can be obtained thus ;

Let cost of 1 pound of avocado = a

5 pounds = $9

1 pound = a

Cross multiply

5 * a = $9 * 1

5a = 9

Divide both sides by 5

5a / 5 = 9/5

a = 1.8

Hence, 1 pound of avocado will cost $1.8

100 points please help ! What is the name of the line of reflection for the pair of figures

Answers

Line r I’m pretty sure since the line of reflection is pretty much the midpoint of something that also points in the same direction.

Answer:

Hey!

I think the line must be LINE R

Step-by-step explanation:

As you can see it must be the Line of Reflection for both figures because it is EQUIDISTANT (equal distance from the 2 shapes). It runs PARALLEL in angle to the shapes too...

It can't be Line P because the line does not produce equal shapes on either side of it...

It can't be Line Q because it only provides the reflection result on one of the shapes, not BOTH...

So your answer is Line R

I HOPE THIS HELPED YOU!

**pls let me know if its wrong**

PLEASE HELP! Thanks if you do!

Answers

Answer:

x=2 and y=−3

Step-by-step explanation:

At the supermarket you can fill your own honey bear container. A customer buys 12 oz of honey for $5.40.
How much honey can you buy per dollar?\

Answers

I believe about 2.22 this is average because you have to divide to find what the average is so if you divide 12oz by $5.40. Your answer would be about 2.222 so your answer should be 2.22 and as you check your work you can use addition I really hope this has helped :)

Plz Help!!!!!!!!!! 14. Teenagers should sleep between 8 and 10 hours per night. Sarah typically sleeps 2 hours less than this per night. Which inequality describes the amount of time that Sarah sleeps? A. 10 < x < 12 B. 8 < x < 10 C. 6 < x < 12 D. 6 < x < 8 E. 8 + 2 < 8 < 10 F. 8 < x < 10 + 2

Answers

Answer:

The amount of time that Sarah sleeps is 6<x<8

Step-by-step explanation:

Mathematical inequality is that proposition that relates two algebraic expressions whose values ​​are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.

A compound inequality (or combined inequality) is two or more inequalities joined with or and and.

When two inequalities are joined with and, they are often written as a double inequality.

You know that teenagers should sleep between 8 and 10 hours per night.. Being x the number of hours slept per night, this can be represented by the following double inequality:

8<x<10

If Sarah normally sleeps 2 hours less per night, this indicates that she sleeps between (8-2) and (10-2) hours per night, that is, between 6 and 8 hours. Represented by a double inequality, Sarah normally sleeps:

6<x<8

The amount of time that Sarah sleeps is 6<x<8

A line passes through the point. (4, -7) and has a slope of 5/2
Write an equation in slope-intercept form for this line.​

Answers

t p = through point

s = slope

[tex]y - y(t \: p) = (s) \times ( \: x - x(t \: p) \: ) \\ [/tex]

[tex]y - ( - 7) = \frac{5}{2} \times (x - 4) \\ [/tex]

[tex]y + 7 = \frac{5}{2} \times (x - 4) \\ [/tex]

[tex]y + 7 = \frac{5}{2}x - \frac{5 \times 4}{2} \\ [/tex]

[tex]y +7 = \frac{5}{2}x - \frac{20}{2} \\ [/tex]

Subtract both sides -7

[tex]y = \frac{5}{2}x - 10 - 7 \\ [/tex]

[tex]y = \frac{5}{2}x - 17 \\ [/tex]

And we're done....

♥️♥️♥️♥️♥️

The equation in slope-intercept form is y= 5/2x - 17.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Slope = 5/2

and, point (4, -7).

Using Slope- intercept form

y = mx + b

y= 5/2x + b

As, the line passes through (4, -7)

-7 = 5/2(4) + b

-7 = 5(2) + b

-7 = 10 + b

b= -17

So, the Equation of line is y= 5/2x - 17.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Can someone draw this for me? NEED HELP
It's for a test. Will make you brainliest!!!!!

Answers

Answer:

Step-by-step explanation:

How do you solve this problem ?

Answers

Answer: 7.04

Step-by-step explanation:

Subtract 154.94- 147.88 because its asking how much more you made on the second paycheck then the first. So in order to get the answer subtract

Joe makes $3.50 per hour working at a convenience store. If he gets a bonus of $25 this
week, how many hours must he work to make at least $165?

Answers

Answer:

40

Step-by-step explanation:

Working backwards, he has to get 140 from working hours alone. 140/3.5=40. He has to work 40 hours to get at least 165

The original cost of a TV is $800. It is currently in sale for 25% off. What is the price if TV on sale?

a. $200

b. $775

c. $600

d $1000

Answers

Here’s how I did it even thought it’s not the “right way” of doing it.
800*.25=
200
So subtract 200 from 800 and that is 600. So your answer will be
C. 600

Ella and some friends are going to a movie. Each movie ticket costs $5. Create an equation that shows the relationship between how many friends, n, attend the movie and the total cost in dollars, c.​

Answers

Answer:

lets say ella and 3 other friends went, so since there is 4 people in total, there will be 4 $5 dollar tickets, so you multiply 5 and 4 which is $20.

Step-by-step explanation:

In the figure, <6 and <3 are

Answers

Answer:B

Step-by-step explanation

Who’s good at 11 grade math pleasee help me comment o this :(

Answers

Im in 10th but I take advanced courses :)

Consider the following.

P = −0.1s3 + 6s2 + 400.

Required:
a. Find the amount s of advertising (in thousands of dollars) that maximizes the profit P (in thousands of dollars).
b. Find the point of diminishing returns.

Answers

Answer:

A) s = $40 (in thousands of dollars)

B) point of diminishing returns is at;

(20, 2000) in thousands of dollars

Step-by-step explanation:

We are given the profit function as;

P = −0.1s³ + 6s² + 400

A) To maximize the profit, we need to find the first derivative and equate it to zero.

Thus;

dP/ds = -0.3s² + 12s

At dP/ds = 0, we have;

-0.3s² + 12s = 0

0.3s² = 12s

0.3s = 12

s = 12/0.3

s = $40 (in thousands of dollars)

B) To find the point of diminishing returns, we need to find the 2nd derivative of the given profit function and equate to zero.

Thus;

d²P/ds² = -0.6s + 12

At d²P/ds² = 0, we have;

-0.6s + 12 = 0

0.6s = 12

s = 12/0.6

s = 20

At s = 20,

P = −0.1(20)³ + 6(20)² + 400

P = -800 + 2400 + 400

P = 2000

Thus; point of diminishing returns is at;

(20, 2000) in thousands of dollars

The temperature in a town is 27.6°F during the day and -13.9°F at night. Find the difference in the temperatures.

Answers

Answer:

41.25 I believe

Step-by-step explanation:

Answer:

41.5 degree difference

Step-by-step explanation:

1. The perimeter of a rectangular field is 180 feet. Let x be the length of the field (in feet) and let y be the width (in feet). Write an equation to model the perimeter of the rectangular field. 

Also this question so there's 2 questions


2. Tyrone is designing a rectangular sandbox. He wants the sandbox to be 15 feet long and have a perimeter of 46 feet. How wide does Tyrone’s sandbox need to be? ​

Answers

Answer:

1. 2(x + y) = 180

2. His sandbox needs to be 8 ft wide.

To simplify an expression, should we apply the Order of Operations in top-down or bottom-up order?

Answers

Answer:

To simplify an expression, we should apply the order of operations top-down

Step-by-step explanation:

The order of operation can be represented as;

BODMAS

If we have an expression to simplify, then the order of operations is from left to right

This means that it is in a top-down fashion i.e from brackets to subtraction and not bottom-up order from subtraction to bracket

PLS HELP I WILL GIVE BRAINLIEST AND 50 POINTS!!!
Foot Length Forearm length
7 9
8 10
9 11
10 12
11 13

Part 1: Select two sets of points and find the rate of change for your data.

Part 2: Describe your results. If you had to express this relation as a verbal statement, how would you describe it?

Answers

the the rate of change is two if you had to describe this a verbal statement you would say each point goes up by two every point.

HURRY ILL GIVE 10 BRAINLY POINTS
What is 1 times 300

Answers

Answer:

300

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

300 x 1 = 300

1 x 300 = 300

how do i plot this??

Answers

Answer:

its pretty simple actually put a point after the -1 (-0.9) and move left twice from -1 to get the plot point -1.2

Pls help for Algebra 11b = 143

Answers

Answer:

b= 13.................................

Step-by-step explanation:

143/11

What is the discriminant of the quadratic equation: (multiple choice)

Answers

Answer:

85

Step-by-step explanation:

The equation for the discriminant is

b^2-4(a)(c)

Plug your numbers in from the equation.

1=a, -7=b, -9=c

(-7)^2-4(1)(-9)

49-(-36)

49+36

85

Let 2x - 1 represents the time Anna and Tamara travel the first two days
and 3x - 4 represents the time they travel the last two days.
Write an algebraic expression that represents the total time
Anna and Tamara travel over the four days.

Answers

Answer:

5x-5

Step-by-step explanation:

add the expression and simplify 2x - 1 + 3 x  -4 add 2x and 3x

5x-1-4 subtract 4 from -1

equals 5x-5

What is the slope of a line that is perpendicular to the line y = x + 4?

The slope of the line is

Answers

Answer:

-1

Step-by-step explanation:

Answer:

- 1/6 is correct

perpendicular refers to the opposite of 1/6 therefor being negative 1/6

Step-by-step explanation:

Tracy wants to buy some pies for her sisters and she has a budge

apple pies, $4.5 banana pies, and $5.5 chocolate pies. She wants

sisters and must buy as many chocolate pies as apple pies and ba

How many of each item should she buy? Write a system of equati

this problem.

# of applie pies =

# of banana pies =

# of chocolate pilis

Answers

Answer:

Tracy must buy 4 apple pies, 4 banana pies, and 8 chocolate pies.

Step-by-step explanation:

The complete question would be:

"Tracy wants to buy some pies for her sisters and she has a budget of $82 to spend on $5 apple pies, $4.5 banana pies, and $5.5 chocolate pies. She wants 16 pies for her sisters and must buy as many chocolate pies as apple pies and banana pies combined. How many of each item should she buy?

Write a system of equations of this problem."

Then, we will write a system of equations according to the information given in the problem:

We must consider each type of pie as an unknown, so:

x: the amount of apple pies

y: the amount of banana pies

z: the amount of chocolate pies

As she has a budget of $82, the amount of each pie must be multiplied by its price and the total sum must be 82:

5x + 4.5y + 5.5z =82 (1)

The total amount of pies must be 16:

x + y + z = 16 (2)

And the amount of chocolate pies must be equal to the quantity of apple pies and banana pies combined:

z= x + y (3)

System of equations:

(1) 5x + 4.5y + 5.5z =82

(2) x + y + z = 16

(3) z= x + y

First, we subtract x and y on 3 on both sides:

z - (x + y )= x + y - (x + y)

-x -y +z = 0

Then, we add 2 and 3:

(2) x + y + z = 16

(3) -x -y +z = 0

2 z=16

z=8

We replace the value of z on 3 and substract x on both sides:

x + y =8

y=8 - x

We use this on equation 1:

5x + 4.5y + 5.5z =82

5x + 4.5×(8-x) + 5.5×8=82

5x + 36 - 4.5x + 44 = 82

0.5x + 80 =82

0.5x=82-80

0.5x=2

x=2/0.5

x=4

We replace the values of x and z on equation 2:

x + y + z = 16

4 + y + 8 = 16

y + 12 = 16

y=16-12

y= 4

Tracy must buy 4 apple pies, 4 banana pies, and 8 chocolate pies.

Answer this please and thank you

Answers

Answer:

The Answer is x^2/2

Step-by-step explanation:

The ^ is the power of _

In this case ^ is the power of 2.

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