Which sequence of steps is a correct derivation of the difference quotient for f(x) = 3 – log x?

Answers

Answer 1

Answer:

Step-by-step explanation:

Where are the answer choices?

Still, it's possible to help you without your having shared those choices.

The "difference quotient" is defined as:

 f(x + h) - f(x)

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

           h

where h represents an incremental (small) change in x.

Here f(x) = 3 - log x, and so f(x + h) = 3 - log (x + h).

Therefore the difference quotient is:

{3 - log (x + h)} - {3 - log x}

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

                    h

This can be simplified.  In the numerator we have 3 - 3, so the numerator simplifies to -log (x + h) + log x

and the difference quotient is

-log ( x + h) + log x

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

              h

This can be rewritten as

log x - log (x + h)                                x                                  x

--------------------------- , or (1/h)*log ------------ , or  (1/h) log { ----------- }

              h                                       (x + h)                            x + h          

Answer 2

Answer:

B

Step-by-step explanation:

I guessed and got it right.


Related Questions

The value of \sqrt{45 is between what.

Answers

Answer:

Between 6 and 7

Step-by-step explanation:

sqrt(36) = 6 and sqrt(49) = 7. 36<45<49, so sqrt(45) is between 6 and 7

A certain middle school opens at 7 A.M., and classes begin at 8 A.M. A sociologist gathered data on the number of minutes after 7 A.M. that a student arrives at school and the number of friends the student has on social media. The correlation between the two variables indicated a strong negative relationship. Which of the following is an appropriate interpretation of the correlation?

Answers

Answer:

As the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.

Step-by-step explanation:

Correlation does not imply causation. Also, the negative relationship indicates that as the number of minutes of arriving after 7 A.M. increases, the number of friends on social media tends to decrease.

What is 3/16 times 3/8? Someone pls help me

Answers

Answer:

Step-by-step explanation:

3/16*3/8

3*3=9

16*8=128

9/128

Answer:

9/128

Step-by-step explanation:

Solve for x in the following triangle.​

Answers

Answer:

x = 12

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

8 + 6x is an exterior angle of the triangle, thus

8 + 6x = 30 + 4x + 2 = 4x + 32 ( subtract 4x from both sides )

8 + 2x = 32 ( subtract 8 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

A plane can carry 360 passengers. On a particular day, there are 240 passengers on the plane. Identify the correct inequality and the solution to show how many more passengers the plane can carry?

Answers

Answer:

p + 240 ≤ 360; p ≤ 120

Step-by-step explanation:

The inequality that shows the number of more passengers to carry by plane is 240 + x = 360.

The number of more passengers is 120.

What is inequality?

It is a statement of an order relationship

- greater than,

- greater than or equal to,

- less than,

- less than or equal to between two numbers or algebraic expressions.

We have,

Number of passengers in a plane = 360

Number of passengers in a day = 240

The inequality represents the number of more passengers that can carry:

240 + x = 360

Where x is the number of more passengers.

Find x.

240 + x = 360

Subtract 240 on both sides.

240 + x - 240 = 360 - 240

x = 120

Thus,

The inequality that shows the number of more passengers to carry by plane is 240 + x = 360.

The number of more passengers is 120.

Learn more about inequality here:

https://brainly.com/question/22010462

#SPJ2

Find the sum of 3-7i and 8+4i
A. 22-8i
B. 11+3i
C. -22+8i
D. 11-3i

Answers

D.11-3i add the numbers 11-7i+4i

Help plsss! What is the the complete statement of 12(3+5)=__x 3__x 5

Answers

Answer:

96

Step-by-step explanation:

12(3 +5) =12 ×3 +12 ×5 =36 +60 =96

NEED HELP!! ASAP!! 50 POINTS!!
Write an equation of the line that passes through the given point an satisfies the given condition.
(-3,-5); parallel to y = -4x + 1

Answers

-6 = -1/2(9) + B

-6 = 4.5 + B

-6--4.5 = B

-1.5 = B

B= -1.5

y=-1/2x - 1.5

y=-1/2(9) - 1.5

y= -4.5-1.5  

y=-6

Car x travels 174 miles in 3 hours

What equation describes this relation

Answers

Using the speed - distance relationship, the speed of the car is 58 miles per hour.

Recall the equation to calculate the miles per hour :

Speed = (distance ÷ time)

Distance moved = 174 miles

Time taken = 3 hours

The speed of the car in miles per hour can be calculated thus :

Speed = (174 ÷ 3) = 58 miles per hour.

Therefore, the speed of the car in miles per hour is 58 miles per hour.

Learn more : https://brainly.com/question/14429071

The figure shows a line graph and two shaded triangles that are similar:


Which statement about the slope of the line is true? (1 point)

It is 7 throughout the line.
It is fraction 1 over 7 throughout the line.
The slope from point O to point A is fraction 1 over 7 times the slope of the line from point A to point B.
The slope from point O to point A is seven times the slope of the line from point A to point B.

Answers

True:

3rd One

4th One

False: All of the others.

It's a straight line, so it is going to have straight qualities and straight inequalities throughout the graph.

simplify rs

r (0,a)

s (b,c)

p (b,-c)

q (0,-a)

Answers

Answer:

see explanation

Step-by-step explanation:

Calculate RS using the distance formula

d = [tex]\sqrt{(x_{2 -x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = R(0, a) and (x₂, y₂ ) = S(b, c) , thus

RS = [tex]\sqrt{(b-0)^2+(c-a)^2}[/tex]

     = [tex]\sqrt{b^2+(c-a)^2}[/tex]

Following are the calculation to the distance of rs:

Given:

Please find the question.

To find:

distance in rs=?

Solution:

Using the formula of distance:

[tex]\to d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

points:

[tex]\to R=(0,a)\\\\\to S=(b,c)[/tex]

[tex]\to (X_1, y_1) = R(0, a) \\\\ \to (x_2, y_2 ) = S(b, c)[/tex]

Calculate RS distance by using the above formula:

[tex]\to RS=\sqrt{(b-0)^2+(c-a)^2}\\\\\to RS=\sqrt{(b)^2+(c-a)^2}\\\\\to RS=\sqrt{(b)^2+(c-a)^2}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{\sqrt{b^2+(c-a)^2}}[/tex]"

Learn more about the distance:

brainly.com/question/12662141

Given the two points determine the equation of the line.


A(2,5); B(4,9)
y=-2x + 1
O y = 2x +1
O y = -2x - 1
O y = 2x-1

Answers

the answer is y= 2x + 1

suppose CM and DM intersect AB as shown. allison states angleAMC + angleCMD + angleDMB = angleAMB. which justifies allison’s statement?

Answers

Answer:

A. Angle Addition Postulate

Step-by-step explanation:

<AMC, <CMD, and <DMB are three angles on a straight line which makes up <AMB.

According to angle addition postulate, the measure of <AMB is the sum of these three angles.

Therefore, angle addition postulate justifies Allison's statement that states:

<AMC + <CMD + <DMB = <AMB.

Definition of supplementary angles deals with two angles adding up to equal 180°. So, definition of supplementary angles definitely does not justify his statement.

Segment addition nor construction of an angle bisector do not also justify his statement.

The right answer is: A. Angle Addition Postulate.

I don't understand this at all.

Answers

Answer:

i think the answer is A

Step-by-step explanation:

Answer please. For money.

Answers

x = 21.75 (third option)

lol i accidentally added a comment sorry

Stacy wants to go on a vacation that will cost her at least $1540. She has $1825 saved but has
$65 deducted every week from her paycheck to pay for her insurance. At most, how many
weeks can she have these deductions made in order to afford her vacation

Answers

Answer:

4 weeks

Step-by-step explanation:

First,, we should subtract the vacation price from her savings to get the base. That is 1835-1540=295. Then we can do 295/65,, and then we get 4  7/13. So,, she can only afford 4 weeks of these deductions in order to have enough money for her vacation.

What is 10 to the 5th power times 456

Answers

Answer:

45,600,000

Step-by-step explanation:

10 to the 5th power is 100,000 times 456 which is 45,600,000

Correct me if I am wrong

Hope this helps!

HELP MEE YALL 6TH GRADE MATH

Answers

Answer:

probably 10

Step-by-step explanation:

Answer:

its 10/10

Step-by-step explanation:

all you have to do is add the top numbers the bottom says the same

9x+7 when x+3

and

x4 when x =3
pls do step by step

Answers

Answer:

34

Step-by-step explanation:

9x+7 when x=3

Plug 3 into the equation for the variable x

So, it would be 9(3)+7

Multiply 9×3 together to get 27

Finally, add 27 and 7 together

The answer should be 34

Answer:

x=1

Step-by-step explanation: 9x+7=16

Subtract 7 from both sides.

9x=16−7

Subtract 7 from 16 to get 9.

9x=9

Divide both sides by 9.

​Divide 9 by 9 to get 1.

x=1

Cuantos casos de co vid hay en colombia 26 de octubre y cuantos casos y muertes reportan hoy?

Answers

Answer:

The country's capital is the region most affected by the pandemic. So far it has registered 308,645 positive cases. In recent weeks there has been an increase in cases, however, the Intensive Care Units continue to be controlled. Bogotá has been experiencing economic reactivation for several weeks, but they do not rule out some drastic measures in the future

Step-by-step explanation:

what value of x makes x -4 = -2 a true statement a.6 b.2 c.-2 d.-6​

Answers

Answer:

I think the answer is 2

Answer:

b) 2

Step-by-step explanation:

x-4= -2

2-4= -2

hope it will help you......

Question 1 of 10
A birthday cake was cut into equal pieces, and 3 pieces were eaten. The
fraction below shows how much cake was left over. According to the fraction,
into how many pieces was the cake cut?
7
10
o
A. 3
B. 7
C. 10
D. 13

Answers

Answer:

Step-by-step explanation:

It’s 10 pieces in all before people ate it.

x + (2x + 40) + (3x – 50) = 15,002

Answers

Answer:

2497.22...

Step-by-step explanation:

Answer:

x + (2x + 40) + (3x - 50) = 15002

Remove the parentheses

x + 2x + 40 + 3x - 50 = 15002

Combine like terms

x + 2x + 3x + 40 - 50 = 15002

6x - 10 = 15002

6x = 15002 + 10

6x = 15012

x = 15012/6

x = 2502

Step-by-step explanation:

Hope it helps :)

Brainliest pls?

Need help on these 2 questions please??? 14 points ?

Answers

Answer:

8 is congruent 9 isnt

Step-by-step explanation:

Answer: 8. is Congruent and 9. Isn't Congruent

Step-by-step explanation:

PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST) 93 POINTS


From the grocery store you need to purchase 1/2 lb cheese, 3 lbs sliced ham, 2 loaves of bread, 4 bags of potato chips, and 1 container of salsa. You have a coupon for $4.00 off if your purchase totals more than $15.00 or 10% off if the total is more than $20.00. The food sales tax is 3%. What is the total cost of the groceries after the best discount is given and taxes applied?


Item Cost

Cheese $1.99/lb

Sliced Ham $3.29/lb

Bread $1.59/loaf

Potato Chips $1.99/ea OR 2 for $3.00

Salsa $1.39/container




$17.96





$21.44





$16.86

Answers

the answer is letter b

what id the greatest common factor shared by 24 and 54

Answers

Answer:

6.

Step-by-step explanation:

t - 6 1/3 = - 9 3/4
solve this !

Answers

Answer: T=-3 5/12

Step-by-step explanation: 6 1/3-6 /13

6 1/3-9 3/4= -3 5/12

T= -3 5/12

Answer:

[tex]t=-2\frac{1}{12}[/tex]

Step-by-step explanation:

(-3)^4 in expanded form

Answers

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[tex] ({ - 3})^{4} = ( - 3) \times ( - 3) \times ( - 3) \times ( - 3) \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

3x3x3x3

Step-by-step explanation:

1. 4 is the exponent so you would put down (-3) 4 times but, since the -3 is in parentheses it automatically becomes positive.

2. So, instead of writing (-3)x(-3)x(-3)x(-3) or -3x-3x-3x-3 you would write 3x3x3x3.

I hope this helps:)

Arthur bought a life insurance policy at $10.98 per month for a 20 year term. What will he pay over 20 years for the premium?

A. $2,830.00
B. $988.20
C. $1,800.00
D. $2,635.20

Answers

D is the right answer

A. $2,830.00 He will pay 2,830.00 for the premium.

Find the area A of the polygon with the given vertices.
A(7,0).B(10,0). C(10,-1). D(7,-1)
square units

Answers

Answer:

9

Step-by-step explanation:

no

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