Evaluate the difference quotient
f(x)-f(1)/X-1, where f(x)=X +5/x+1

Evaluate The Difference Quotientf(x)-f(1)/X-1, Where F(x)=X +5/x+1

Answers

Answer 1

Answer:

C) [tex]\displaystyle\frac{-2}{(x+1)}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{f(x)-f(1)}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{1+5}{1+1}}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{6}{2}}{x-1}\\\\\frac{\frac{2(x+5)}{2(x+1)}-\frac{6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2(x+5)-6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2x+10-6x-6}{2(x+1)}}{x-1}\\\\\frac{\frac{-4x+4}{2(x+1)}}{x-1}\\\\\frac{\frac{-4(x-1)}{2(x+1)}}{x-1}\\\\\frac{-4}{2(x+1)}\\ \\\frac{-2}{(x+1)}[/tex]


Related Questions

(10 times 2) + 5 times 8 =

Answers

The answer is 60 because 10 x 2 is 20 and 5 x 8 is 40 and add those together to get 60

what are the domain and range of the function represented by the set of ordered pairs?. ​

Answers

A is the right answer. Ask anything if you have more questions.

Answer:

a

Step-by-step explanation:

domain is based on x values in the front

range is based on y values in the back

Evaluate the following when n = 7: 5(n - 5)

Answers

Hey! there

Answer:

10 is the answer

Step-by-step explanation:

In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .

And we are asked to evaluate the expression .

SOLUTION : -

Expression :

[tex] \quad \longmapsto \qquad \: 5(n - 5)[/tex]

We are substituting value of n as 7 :

[tex] \quad \longmapsto \qquad \:5( \bold{7} - 5) [/tex]

Solving parenthesis that is subtracting 5 from 7 :

[tex] \quad \longmapsto \qquad \:5(2)[/tex]

Now we are multiplying 5 with 2 and We get :

[tex] \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar[/tex]

Henceforth , value of expression when n is equal to 7 is 10

#Keep Learning

Step-by-step explanation:

Answer:

10 is the answer

Step-by-step explanation:

In this question we are given value of n as 7 and an expression that is 5 ( n - 5 ) .

And we are asked to evaluate the expression .

SOLUTION : -

Expression :

[tex] \quad \longmapsto \qquad \: 5(n - 5)[/tex]

We are substituting value of n as 7 :

[tex] \quad \longmapsto \qquad \:5( \bold{7} - 5) [/tex]

Solving parenthesis that is subtracting 5 from 7 :

[tex] \quad \longmapsto \qquad \:5(2)[/tex]

Now we are multiplying 5 with 2 and We get :

[tex] \quad \longmapsto \qquad \: \underline{\boxed{ \frak{{10}}}} \quad \bigstar[/tex]

Henceforth , value of expression when n is equal to 7 is 10

A survey was given to 90 high school students. They were asked if they preferred fiction or non-fiction and if they preferred indoor or outdoor activities. Partial survey results are shown in the table.

What percent of students in the survey, to the nearest whole number, prefer outdoor activities given they prefer non-fiction?

Enter a number in the box.
P(outdoor | non−fiction)= _%

Answers

Answer:

11% of people preferred outside and non-fiction

Step-by-step explanation:

Table attached,
10/90 = 0.11

0.11 = 11% 

The percent of students in the survey that prefer outdoor activities given they prefer non-fiction is 11%.

What is the percent?

The first step is to determine the total number of people that like fiction: 24 + 30 = 54

Now, determine the total number of people that like non-fiction: 90 - 54 = 36

The third step is to determine the total number of people that like indoor activities and non-fiction: 50 - 24 = 26

The fourth step is to determine the total number of people that like outdoor activities given they prefer non-fiction: 36 - 26 = 10

Percentage of people that prefer outdoor activities given they prefer non-fiction = (10 / 90) x 100 = 11%

To learn more about percentages, please check: https://brainly.com/question/25764815

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9x-3-8x=7-x solve for x

Answers

Answer:

x = 5

Step-by-step explanation:

Simplify both sides :

9x - 3 - 8x = 7 - xx - 3 = 7 - x

Add 3 to each side :

x - 3 + 3 = 7 - x + 3x = 10 - x

Add x to each side :

x + x = 10 - x + x2x = 10

Divide by 2 on each side :

2x/2 = 10/2x = 5

Answer:

x = 5

Step-by-step explanation:

9x-3-8x=7-x solve for x

9x - 3 - 8 x = 7 - x

x - 3 = 7 - x

2x = 10

x = 10 : 2

x = 5

-----------------

check

9 * 5 - 3 - 8 * 5 = 7 - 5

2 = 2

the answer is good

PLEASE HELP ME WITH THIS!! I NEED HELP

Answers

Answer:

It would be d

Step-by-step explanation:

Its d because its in a staright line

Answer:

D.

Step-by-step explanation: the rest are either non-linear , have no correlation, have a curvilinear relationship, or have no association.

PLEASE HELP ME WITH PROB AND STATS

6. Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.

Answers

Answer:

y = 5.07 + 0.850x

Step-by-step explanation:

You can check all equation on the calculator y =

Find the sum of the n terms using the formula a(1-r^n)/1-r 1,3/2,9/4,27/8,81/16, …

Answers

Answer:

[tex]S_5=\frac{211}{16}[/tex]

Step-by-step explanation:

We can easily see that the common ratio is [tex]r=\frac{3}{2}[/tex] and we are to find the first [tex]n=5[/tex] terms:

[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_5=\frac{1(1-(\frac{3}{2})^5)}{1-\frac{3}{2}}\\\\S_5=\frac{1-\frac{243}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{-\frac{211}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{422}{32}\\\\S_5=\frac{211}{16}[/tex]

A baker is making cakes for a big party. She uses 1/4 cup of oil for each cake. How many cakes can she make if she has a bottle of oil that has 6 cups in it? PRITTY PLEASE HELP!!! NOW (ASAP)

Answers

Answer:

24 Cups

Step-by-step explanation:

you just need to divide 6 by 1/4, whihc equals 24/1

help me please :( i need help

Answers

Answer:

B

Step-by-step explanation:

Use the expression PEMDAS

It helps to know what do to first

Parenthesis Exponent Multiply Divide Add Subtract

Jade thinks the area m•6+m•8. Arianna thinks the area is m(6+8). How can they both be correct?

HELP PLEASE HELP ME!!!

Answers

Answer:

6m=8m−40+6mNow simplify:=8− m−40+6− m=14m−40

Step-by-step explanation:

6m=8m−40+6mNow simplify:=8− m−40+6− m=14m−40

I need a bit of help with this question so please if you could answer:

To the nearest hundredth, what is the value of x?
Use a trigonometric ratio to compute a distance


59.72


56.35


35.94


27.08

Answers

the answer is 35.94

Check the picture below.

Make sure your calculator is in Degree mode.

Find the different angle measures

Answers

The different angle measures are

1. [tex]m\angle EBD = 34^\circ[/tex]

2. [tex]m\angle ACE = 52^{\circ}[/tex]

3. [tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]

4. [tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]

5. [tex]m \angle DBA= 90^\circ[/tex]

6. [tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]

7. [tex]m\angle DFC= 56^\circ[/tex]

Calculating measures of angles

From the question, we are to determine the measures of the different angles

1.

From the given information,

[tex]m \overset{\LARGE\frown}{HD} = 68^\circ[/tex]

This implies that the measure of the central angle is 68°

Then,

[tex]m\angle EBD = \frac{1}{2} \times 68^\circ[/tex] (Angle at the center is twice the angle at the circumference)

∴ [tex]m\angle EBD = 34^\circ[/tex]

2.

From the diagram

[tex]m\angle ACE + m\angle BED + 90^\circ = 180^\circ[/tex]

From the given information

[tex]m\angle BED = 38^\circ[/tex]

Then,

[tex]m\angle ACE + 38^\circ + 90^\circ = 180^\circ[/tex]

[tex]m\angle ACE + 128^{\circ} = 180^\circ[/tex]

[tex]m\angle ACE = 180^\circ-128^{\circ}[/tex]

[tex]m\angle ACE = 52^{\circ}[/tex]

3.

First, we will determine [tex]m \overset{\LARGE\frown}{GD}[/tex]

[tex]m \overset{\LARGE\frown}{GD} = 2 \times m\angle ACE[/tex] (Angle at the center is twice the angle at the circumference)

[tex]m \overset{\LARGE\frown}{GD} = 2 \times 52^\circ[/tex]

[tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]

But,

[tex]m \overset{\LARGE\frown}{GD} + m \overset{\LARGE\frown}{GB} = 180^\circ[/tex]

[tex]m \overset{\LARGE\frown}{GB} = 180^\circ - m \overset{\LARGE\frown}{GD}[/tex]

[tex]m \overset{\LARGE\frown}{GB} = 180^\circ - 104^\circ[/tex]

[tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]

4.

[tex]m \overset{\LARGE\frown}{GBD} = m \overset{\LARGE\frown}{GB} + 180^\circ[/tex]

[tex]m \overset{\LARGE\frown}{GBD} = 76^\circ +180^\circ[/tex]

[tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]

5.

[tex]m \angle DBA= 90^\circ[/tex] (Tangent and diameter/ radius theorem)

If a tangent and a diameter meet at the point of tangency, then they are perpendicular to one another

6.

[tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex] (As determined above)

7.

First, we will determine [tex]m\angle GFB[/tex]

[tex]m\angle GFB + m\angle EBD + 90^\circ = 180^\circ[/tex]

[tex]m\angle GFB = 180^\circ -(m\angle EBD + 90^\circ)[/tex]

[tex]m\angle GFB = 180^\circ - (34^\circ+90^\circ)[/tex]

[tex]m\angle GFB = 180^\circ - 124^\circ[/tex]

[tex]m\angle GFB = 56^\circ[/tex]

[tex]m\angle GFB = m\angle DFC[/tex] (Vertically opposite angles)

[tex]m\angle DFC= 56^\circ[/tex]

Hence, the different angle measures are

1. [tex]m\angle EBD = 34^\circ[/tex]

2. [tex]m\angle ACE = 52^{\circ}[/tex]

3. [tex]m \overset{\LARGE\frown}{GB} = 76^\circ[/tex]

4. [tex]m \overset{\LARGE\frown}{GBD} = 256^\circ[/tex]

5. [tex]m \angle DBA= 90^\circ[/tex]

6. [tex]m \overset{\LARGE\frown}{GD} = 104^\circ[/tex]

7. [tex]m\angle DFC= 56^\circ[/tex]

Learn more on Calculating the measures of angles here: https://brainly.com/question/21872415

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the tax rate is 6.8%

what is the tax on $9.95


round to the nearest hundredth (explain your answer)

Answers

Answer: $0.68

Step-by-Step Explanation:

Tax Rate = 6.8%
Tax Rate on $9.95 = ?

Using the Percentage Formula,
= 6.8/100 x 9.95
= 0.6766

Therefore,
Rounding off to the nearest hundredth:
= $0.68

Jeff had $20. He spent
3/8 of his money on lunch. How much money does Jeff have left

Answers

3/8 of $20

20 ÷ 8 = 2.5
2.5 × 3 = $7.5

Find the factor of each ff.
x²+27x+49​

Answers

Answer:

There are no factors.

Step-by-step explanation:

x²+27x+49​ is prime.

Does anyone understand this?
Determine the degree of each polynomial listed.


1. y4 x3 v + 14


2. 2x + 6


3. 5y10 – 6x7y3 – 4y – 5


4. x3 +4y – 9


5. 60x2 y + 8

Answers

Answer:

811033

Hope it helps.

Which statements describe the graph of 2 and StartFraction 8 over 9 EndFraction greater-than-or-equal-to x on a number line? Select three options. There is an open circle on 2 and StartFraction 8 over 9 EndFraction. The graph contains the point 0 There is a closed circle on 2 and StartFraction 8 over 9 EndFraction. The arrow points to the left. The arrow points to the right.

Answers

Inequalities help us to compare two unequal expressions. The options that are correct about the given statement are B, C, and D.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The points that are correct about the given inequality 2(8/9)≥x are:

The graph contains the point 0There is a closed circle on 2 and StartFraction 8 over 9 EndFraction.The arrow points to the left.

Hence, the options that are correct about the given statement are B, C, and D.

Learn more about Inequality:

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Help me please I need it right now like now now

Answers

Answer:

$0.84

Step-by-step explanation:

2.5 divided by 0.5 what would that be

Answers

Answer:

1.25

Step-by-step explanation:

1/2 of 2.5 is 1.25

Think of it as the following

250 divided by 2 is 125 because 125+125=250

Answer:

5

Step-by-step explanation:

2.5 divided by 0.5 would = 5

A car salesman has determined the probability of a person purchasing a car with cash is p = 0.08. Which term best describes the probability of this event?

Answers

Correct answer is B. Very Unlikely

Hope this helps :P

Jack Dossey wears socks of two colours yellow and orange. he has altogether 20 yellow socks and 20 Orange socks in his drawer. supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair?

Answers

Answer:

2

Step-by-step explanation:

I don't know why am I so bad at math???

Which represents the complete factorization of 3v2 + 9v ?

Answers

Answer:

3v2 + 9v = 3v(v + 3)

              - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

        What is the complete factorization of 3v²+9v?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

First we need to find the GCF of this polynomial; when we find it, we should factor it out, or divide all the terms by it.

Since the greatest common factor (GCF) of this polynomial is 3v, we divide both terms by 3v:-

3v(v+3)

Good luck.

                - - - - - - - - - - - - - - - - - - - -- - - - - - - - -

What is the 16th term in the following geometric sequence?
5, −10, 20, −40, 80,...

Answers

-163840

Explanation:

The formula to find the nth term for a geometric sequence is

(a1)(r)^n-1

So by plugging in the terms you get

(5)(-2)^16-1 = -163840
Answer: -163840

Step-by-Step Explanation:

As we can see, starting from the first term, every term is repeatedly multiplied by (-2) in order to form this sequence.

1) 5
2) 5 * -2 = -10
3) -10 * -2 = 20
4) 20 * -2 = -40
5) -40 * -2 = 80
6) 80 * -2 = -160
7) -160 * -2 = 320
8) 320 * -2 = -640
9) -640 * -2 = 1280
10) 1280 * -2 = -2560
11) -2560 * -2 = 5120
12) 5120 * -2 = -10240
13) -10240 * -2 = 20480
14) 20480 * -2 = -40960
15) -40960 * -2 = 81920
16) 81920 * -2 = -163840
17) -163840 * -2 =327680

Therefore, 16th Term = -163840

In Autobiography by Abraham Lincoln and the Life of Abraham Lincoln by John Hugh Bowers, each author tells the same story about Lincoln's life, but they provide different_________.
A settings
B. dialogue
C. facts

Answers

The answer is c :).

please help me with this question !!

Answers

Answer:

x is (0,15), because when you place x as zero you'll the coordinate D when you plot these coordinates on your graph.

Solve x + 8 > 13, x + 18 > 23, x + 28 > 33. Complete the description of a pattern. Then use the pattern to predict the solution of x + 5,558 > 5,563.



For each inequality, x > ?
, and the number added to x is ?
less than the number on the right side of each inequality. So, x > ?
is the solution of x + 5,558 > 5,563.

Answers

Answer:

For each inequality, x > 5

, and the number added to x is 5

less than the number on the right side of each inequality. So, x > 5

is the solution of x + 5,558 > 5,563.

Step-by-step explanation:

13-8=5

Brad weighs 125 pounds. How could you change 125 pounds
to tons

Answers

Divide mass value by 2000
125 pounds= 0.0625 tons
Divide 125 by 2000 = .0625

PLEASE HELP FOR BRAINLIEST :(((

Find the circumference and the area of a circle with radius 9m.

Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.

Answers

The circumference and the area of a circle with a radius of 9m is 28.26

How to find the circumference

The circumference of a circle is its perimeter or distance around it. It is denoted by C in math formulas and has units of distance, such as millimeters (mm), centimeters (cm), meters (m), or inches (in). It is related to the radius, diameter, and pi using the following equations:

Given that:

Circumference of Circle = [tex]2\pi r[/tex]

[tex]9x=28.26[/tex]

[tex]9*3.14=28.26c[/tex]

[tex]or[/tex] [tex]28.26c[/tex] ÷ [tex]\pi(3.14)=9r[/tex]

Therefore, The circumference and the area of a circle with a radius of 9m is 28.26

Learn more about finding the circumference here:

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What is the value of x?
Enter your answer in the box.
X =

Answers

Answer:

26°

Step-by-step explanation:

x + 64° = 90° ( being complementary angles)

x = (90 - 64)°

x = 26°

Answer:

x = 26°

Step-by-step explanation:

x + 64° = 90° [right angle]

x = 90° - 64°

x = 26°

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