find the derivitive of f(x)=(x+9)/(x+1)

Answers

Answer 1

[tex]\dfrac{d}{dx} \left(\dfrac{x+9}{x+1}\right)\\\\\\=\dfrac{(x+1)\dfrac{d}{dx}(x+9) - (x+9) \dfrac{d}{dx}(x+1)}{(x+1)^2}\\\\\\=\dfrac{(x+1) - (x+9)}{(x+1)^2}\\\\\\=\dfrac{x+1-x-9}{(x+1)^2}\\\\\\=-\dfrac{8}{(x+1)^2}[/tex]


Related Questions

Help me with my math please​

Answers

Step-by-step explanation:

1 _21:00_ , _22:10_, 1:10

2. 1:20

3. 18:00

4. 21:35

1. 21:00, 22:10, 1 hr and 10 minutes

2. 20 minutes

3. 18:40

4. 21:35

This is a special array.
1,2,2,5,2,2,9,0,...
what is next number?

Answers

Answer:

2

Step-by-step explanation:

the first number is one .then you write number two twice . The next number is the summation of the three previous numbers .then you write number two twice and the next number is the summation of the three previous numbers .and you do that regularly

The scale on a map is 2 in. =250 miles. If Toledo and Kansas City are 2.25 in. How far are they apart in real life?

Answers

Answer:

281.25 miles

Step-by-step explanation:

2=250

1=125

0.5=62.5

0.25=31.25

250+31.25=281.25

Can someone explain how you do fractions like adding them? And what rules they have to find the answer?

Answers

Answer:

Hope this image helps you. (sorry if it's tiny writing.)

Step-by-step explanation:

Hassan made a vegetable salad with 2 3/8 pounds of tomatoes, 1 1/4 pounds of asparagus, and 2 7/8 pounds of potatoes. How many pounds of vegetables did he use altogether?
Btw please show work.

Answers

Step-by-step explanation:

OK so

Tomatoes = 2 3/8 = 19/8 (turned into improper fraction)

Asparagus = 1 1/4 =5/4

Potatoes = 2 7/8 = 23/8

Total vegetables used =

19/8 + 5/4 + 23/8 = 42/8 + 5/4 = 42+10/8 =52/8

Answer is 52/8 = 6.5

Answer : 52/8 pounds were used altogether

See picture for solution.

What is the simplest form of

Answers

Answer:

B

Step-by-step explanation:

Please some urgent help!!!!

Answers

Answer:

brain less or i hack ur acc to ban

Step-by-step explanation:

u cant report me because im hacker

The anwser would be 2.
This is because of the blue line in the middle so you only have to count one half

LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answers:

[tex]I(-2,-1) \to I \ ' \ (-5,-2.5)\\\\J(-1,2) \to J \ ' \ (-2.5,5)\\\\K(2,-1) \to K \ ' \ (5,-2.5)\\\\[/tex]

===============================================

Explanation:

Since the center of dilation is the origin, we multiply each preimage coordinate by 2.5 (which is the scale factor).

For example, the preimage point J(-1, 2) moves to J ' (-2.5, 5)

-1*2.5 = -2.52*2.5 = 5

This will cause the image triangle I'J'K' to be larger than the preimage IJK. Specifically, each side of the image is 2.5 times longer compared to the preimage.

Answer:

i' (-5, -2.5) J' (-2.5, 5) K' (5, -2.5)

Step-by-step explanation:

you just take the original coordinates and multiply them by 2.5

Dave and Kyle are 40 miles apart on a path when they start moving toward each other. Dave runs at a constant speed of 8 miles per hour, while Kyle walks at a constant speed of 5 miles per hour. How long does it take until they meet?

Answers

Answer:

About 3 hours

Step-by-step explanation:

together, they go 13 miles in one hour. 40/13 = 3 with remainder 1

Sophie has $4.20 worth of dimes and quarters. She has twice as many quarters as dimes. Write a system of equations that could be used to determine the number of dimes and the number of quarters that Sophie has.

Answers

Answer:

0.25q +0.10d = 4.20q = 2d

Step-by-step explanation:

Let q represent the number of quarters, and d represent the number of dimes.

  0.25q +0.10d = 4.20 . . . . . the value of the coins

  q = 2d . . . . . . . . . . . . . . . the relation between the numbers of coins.

__

Additional comment

Using substitution, the equation simplifies to ...

  0.60d = 4.20

  d = 7

  q = 14

Note that the coins can be grouped into groups of 2 quarters and 1 dime. The value of the group is $0.60, and the number of dimes is equal to the number of groups. Thinking about the problem in this way gets you immediately to the single equation 0.60d = 4.20.

What is the purpose of constructing a confidence interval?
O In order to find a range of values to estimate the population
proportion.
o In order to find a range of values to estimate the sample proportion.
o To find the exact value of the population proportion.
o In order to find the exact sample proportion.

Answers

Using the interpretation of a confidence interval, it is found that the correct option is:

In order to find a range of values to estimate the population  proportion.

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b. From the above bullet point, we have that the interval is taken from a sample, and is used to estimate a population parameter.

Hence, the correct option is:

In order to find a range of values to estimate the population  proportion.

You can learn more about the interpretation of a confidence interval at https://brainly.com/question/25822483

(2+√3)+(4-√3)
[tex] [/tex]

Answers

Explanation :

________________________________

Given:

(2+√3)+(4-√3)

To Find:

Evaluate the expression

Solution:

Step 1:

Remove the parentheses

(2+√3)+(4-√3)

When there is + or no sign in front of an expression in parentheses, the expression remains the same

= 2 + √3+ 4-√3

Step 2:

Cancel the opposite terms √3 and -√3

"Two numbers are opposites if they have the same absolute value but different signs"

= 2 + 4

Step 3:

Add the numbers

= 6

Hence (2+√3)+(4-√3) = 6.

In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
Find the width of the trapezoid if AC = 3, AD = 5.

Answers

Answer:

solution given:

let's see only in a right-angled triangle Δ ACD.

AC=3 units

AD=5 units

since Δ ACD is a right-angled triangle. It satisfies Pythagoras law

[tex]AD^{2}=AC^{2}+CD^{2}[/tex]

25=9+[tex]CD^2[/tex]

[tex]CD^2[/tex]=25-9=16

[tex]CD=\sqrt{16} =4 units[/tex]

Now

Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]

similarly,

[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]

since AB=CE=2.4 units

Δ ACE is a right-angled triangle. It satisfies Pythagoras law.

[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]

now

area of trapezoid=area ofΔACD+Area of ΔABC

=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]

Suppose the sample space for a probability experiment has 48 elements. If items from the sample space are selected without replacement, how many different ways can you select all of the items?

Answers

Answer:

56study hard watch your book for 20 minute and look....this is a hint

The midpoint M of ST has coordinates (5, 5). Point T has coordinates (9,5). Find the
coordinates of point S.

Answers

Answer:

5,5

Step-by-step explanation:

3 + 12 + 48 + 192 + ...
Whats the answer

Answers

the sequence is to take the previous number and multiply by 4, so the sequence is

3 12 48 192 768 3072 12288

add them all up and you get 16383

Answer:

3, 12, 48, 192, 768, 3072, 12288 these are the next seven numbers

Add them all up and you get

= 16383 Answer C

Step-by-step explanation:

[tex]3, 12, 48, 192[/tex]

So from 3 to 12 is multiply by 4

So we have checked that it works for all of them

Rule:

Each term is: Two to the power of the number3/4 times the number squared plus 0 times the number

I hope this has helped :)

Read in equality quality for the graph shown below use ask for your beard

Answers

Answer:

x<-3

Step-by-step explanation:

Mr. Factor bought 9.8 gallons of gasoline at $1.15 a gallon. How much did he pay for the gasoline?​

Answers

Answer:

8.52

Step-by-step explanation:

9.8 divided by 1.15 = 8.52

What could be
a good option available to you if you are
behind on loan payments?

Answers

A good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.

For a good financial management, the best decision to make profit or avoid loss is paramount.

The most difficult challenge faced today by loan companies is the non complaisance of the customers to pay back when the period given expires.

The best option that may be available for the loan manager must be a request  for the customer to pay part of the loan and complete the payment in the next  pay day.

Thus, a good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.

Learn more about options for loan payment here: https://brainly.com/question/12233464

I WILL GIVE BRAINLY!!!
-x - 8 ≤ 16
Please answer! Is the answer 24 or -24?
My last inequality before I got my answer was : -x ≤ 24.
But as we know if there is a varible that has no number associated with it we assume that the number for it is just one, but in this case -x would be -1x. So if I divide -1x/-1 that would be x, but if I divide 24/-1, that would be -24. So in the end someone just tell me if it's 24 or -24?!

Answers

Answer: The answer is X ≥ -24.

Explanation in the image.


What is the value of x in the equation 4
.
+
2

Answers

Answer:

x=-3

Step-by-step explanation:

Factorise the following expressions.
a² + 8a + 16​​

Answers

Explanation :

________________________________

Factorizes:

⇒ a² + 8a + 16 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ a² + 4a + 4a + 16 = 0.

⇒ a(a + 4) + 4(a + 4) = 0.

⇒ (a + 4)(a + 4) = 0.

⇒ (a + 4)² = 0.

⇒a=-4.

Hence a=-4.

what is integration ....nd differentiation​

Answers

Answer:

Differentiation is used to break down the function into parts, and integration is used to unite those parts to form the original function. Geometrically the differentiation and integration formula is used to find the slope of a curve, and the area under the curve respectively.

Answer:

integration is the opposite of differentiation

Step-by-step explanation:

integration requires addition of 1 to the power and then division by the value eg

the integral of

[tex]{x}^{2} = \frac{ {x}^{2 + 1} }{2 + 1} \\ = \frac{ {x}^{3} }{3} [/tex]

while in differentiation, u subtract one and multiply by the value. eg

the differential of

[tex] \frac{ {x}^{3} }{3} = 3( \frac{ {x}^{3 - 1} }{3} ) \\ = 3( \frac{ {x}^{2} }{3} ) \\ = {x}^{2} [/tex]

What is the diameter of a circular swimming pool with a radius of 9 feet? Enter only the number

Answers

Answer:d=18FT

Step-by-step explanation:

YOUR WELCOM :)

The diameter is double the radius of the circle. So you would do 9*2 = 18 feet.

The question only asks for the number though so you can just enter 18.

Use the exponential regression equation that best fits the data (10,4). (12,20), (13,35), and (16,300) to estimate y when x = 15.
A 53.1
В. 97.2
C. 146.7
D. 254.8​

Answers

Answer:

c 146.7

Step-by-step explanation:

cuz

Please help I don't understand

| X = 2 | Y = 3 | Z = 4 |

Evaluate the expression using the solutions above

5x + 6z + 2y

Answers

Answer:

The expression can be written as:

5(2) + 6(3) + 2(4).

if I'm wrong, please tell me

Which graph or graphs show that a 5 minute phone call costs $4?

Answers

The graph should show an increase of $ 0.80 for every minute that the call lasts.

A 5 minute phone call costs $ 4, with which, to determine the information that the graph should show, the following calculation must be performed:

4/5 = X 0.80 = X

Therefore, the graph should show an increase of $ 0.80 for every minute that the call lasts.

Learn more about maths in https://brainly.com/question/25834039

Answer:

Step-by-step explanation:

Jake ran 4% miles in % of an hour. How fast did he run in one hour?

Answers

5% I don’t really know but I did this by hope it helps

If the sum of squares for a sample containing 51 items equals 200, what is the standard deviation?


A) 1.98

B) 2.00

C) 3.92

D) 4.00

Answers

The standard deviation is 1.98. Option A is correct.

The standard deviation formula is given as

[tex]\sigma = \sqrt{\frac{SS}{n} }[/tex]

where:

SS is the sum of squares = 200n is the sample size = 51

Substitute the given parameters into the formula to have:

[tex]\sigma = \sqrt{\frac{200}{51} }\\\sigma = \sqrt{3.922}\\\sigma = 1.980[/tex]

Hence the standard deviation is 1.98

Learn more on standard deviation here: https://brainly.com/question/12402189

Joe wants to build a doll house for his daughter. He wants the doll house to look just like his house. His house is 29 feet wide and 32 feet tall at the highest point of the roof. If the dollhouse will be 2.5 feet wide, how many feet will its highest point be? (Round your answer to one decimal place.)

Answers

Answer:

3.5 feet

Step-by-step explanation:

The highest point of the dollhouse will be 2.76 feet.

What is proportion?

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

The width of house = 29 feet.

And the height of the house = 32 feet.

Also, the width of dollhouse = 2.5 feet

Let the height of the doll is x feet.

To find the value of x,

Use proportion property,

29 / 32 = 2.5 / x

x = (32 × 2.5) / 29

x = 80 / 29

x = 2.758

the height of the doll is 2.76 feet.

To know more about Proportion on:

https://brainly.com/question/7096655

#SPJ5

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