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

What is the domain of this quadratic function?

Answers

Answer: A) all real numbers

The graph goes on forever in both directions along the x axis. This indicates any x value can be plugged into the quadratic to get some y output. There are no restrictions. The domain is the set of all possible x inputs of a function.

What’s the answer hurry

Answers

Answer:

y=12x

Step-by-step explanation:

According to the table

48=12(4) which is true

60=12(5) which is true

96=12(8) which is true

Answer:

12, 60/5 is 12, 48/4 is 12, 96/8 is 12

Jasmine needs to solve the equation 9x + 12 = 3(x-8). Which
equations represent a first step Jasmine could use to solve the original
equation? Select all that apply.

Answers

Answer:

To find the value of x

1. Solve what it is in the parentheses

2. Combine like numbers on each side of the equation if is possible

3. Subtract 12 on both sides of the equation

4. Subtract 3x on both sides of the equation

5. Divide by 6 both sides of the equation

Step-by-step explanation:

9x + 12 =  3(x-8)

9x + 12 = 3x -24

     -12          -12

      9x = 3x -36

     -3x   -3x

     

      6x = -36

       6        6

        x = -6

The equation that represent the first step that should be required is 9x + 12 = 3x -24.

Calculation of an equation:

Since the equation is

9x + 12 = 3(x-8)

So

9x + 12 = 3x -24

6x = -36

x = -6

So based on this, we can say that The equation that represent the first step that should be required is 9x + 12 = 3x -24.

Learn more about an equation here: https://brainly.com/question/17599700

Please help I don’t understand

Answers

Answer:

y = -2x+4

Exp:

Slope (m) =

ΔY

ΔX

=

-2

1

= -2

θ =

arctan( ΔY ) + 360°

ΔX

= 296.56505117708°

ΔX = 2 – 1 = 1

ΔY = 0 – 2 = -2

Distance (d) = √ΔX2 + ΔY2 = √5 = 2.2360679774998

Equation of the line:

y = -2x + 4

When x=0, y = 4

When y=0, x = 2

solve for c a(b-c)=d​

Answers

Answer; c= -d/a + b

Step-by-step explanation:

I think the answer would be c=-d/a+b;)

Answer this for 15 points

Answers

Answer:

A.

Step-by-step explanation:

y = mx + b

y = -2/3 x + b

(x, y) = (3, 0)

0 = -2/3 (3) + b

0 = -2 + b

b = 2

y = -2/3 x + 2

Answer: A.

Answer:

y = - 2/3 + 2

Step-by-step explanation:

Step 1:

y = mx + b     Slope Intercept Form

Step 2:

y = - 2/3x + b   Input Slope

Step 3:

0 = - 2/3 ( 3 ) + b       Input x and y

Step 4:

0 = - 2  + b     Multiply

Step 5:

2 = b       Add 2 on both sides

Answer:

y = - 2/3 + 2

Hope This Helps :)

Use the drop-down menu to complete the sentence.

Resistance is measured in units called _____.

Answers

Answer:

ohms

Step-by-step explanation:

Resistance is measured in units called ohms (symbol: Ω).

What is resistance?

Resistance is a property of an electrical component that resists the flow of electric current through it.

We have,

Resistance is measured in ohms, which is the unit of electrical resistance. One ohm is the resistance value through which a current of one ampere will flow when a potential difference of one volt is applied across it.

Resistance is an important concept in electrical engineering and physics, as it is a fundamental property of electrical circuits and components.

Thus,

Resistance is measured in units called ohms (symbol: Ω).

Learn more about resistance here:

https://brainly.com/question/22388715

#SPJ5

14
Bolve for the value of z:
5
Z
25

Answers

Answer:

The answer is 15

Step-by-step explanation:

Thats what I got

Extra points!!
Given: Circle M
Given: Segment MA bisects Segment BC
Prove: Angle B is congruent to Angle C

Answers

Answer:

See Explanation

Step-by-step explanation:

[tex] In \: \odot M, \: \overline{MA} \: bisects \: \overline {BC}\\... (given) \\\\

\therefore \overline{MN} \: bisects \: \overline {BC}\\... (\because B-N-C) \\\\

\therefore BN \cong NC... (1)\\\\

In\: \triangle BMN \:\&\:\triangle CMN\\\\

BM\cong CM\\ (radii \: of \: same \: circle) \\\\

MN\cong MN\\ (common \:side) \\\\

BN \cong NC\\ (from\:1)\\\\

\triangle BMN \:\cong\:\triangle CMN\\.. (by\: SSS\: postulate) \\\\

\therefore \angle B\cong \angle C.. (CACT) [/tex]

I need help finding the slope, The y - intercept, and the equation?

Answers

Slope: -2/3

Y intercept: 5

Equation: y = -(2/3)x + 5

Hope this helped :)

COILD SOMEONE DO THIS PROBLEM FOR PLEASE!! LOOK AT THE IMAGE ABOVE! Show full work pls it’s due today

Answers

9514 1404 393

Answer:

  c.  x = 1

Step-by-step explanation:

c. The Pythagorean theorem applies. The square of the hypotenuse is the sum of the squares of the other two sides.

  2² = x² +(√3)²

  4 = x² +3

  1 = x² . . . . . . subtract 3

  1 = x . . . . . . . take the square root

Alex is x years old. Addison is y years younger. Find their combined age in 10 years’ time.

Answers

Answer:

x+10-y

Step-by-step explanation:

i'm not 100% sure about this response, but i'd assume the answer is like this for the following reasons:

alex is x years old, and 10 years have passed, meaning 10 years are added onto his age (x+10). addison is still the same amount of years apart from him in age, so you subtract y from that (x+10-y).

Which scatter plot shows a nonlinear association for the data?
10
8
6
10-
8
6-
4
2
2
092746810
0 246810
yt
10
8
6
4
2
y+
10
8
6
2
0 246810
0 249698 10x

Answers

Answer:

10, 8, 6, 4, 2

Step-by-step explanation:

An error was made in the solution of the equation. Identify the mistake. . 4 -2x = -2 +4 2x = 2 22 · 6 Your answer O This is a required question​

Answers

Answer:

3.54

Step-by-step explanation:

What is 2
1
4
·
9
5
?

Answers

Answer:

20,330‬

Step-by-step explanation:

214 times 95 is 20,330‬.

20,330 I think correct me if I’m wrong

A leather jacket is priced at $130. There is an 8% sales tax rate. What is the sales tax for the jacket in dollars and cents?​

Answers

Answer:

$10.40

Step-by-step explanation:

Multiply $130 with 0.08 to get the sales tax. 0.08 is the same as 8%, just in decimal form.

$130 * 0.08 = $10.40

530, 6%, 1 year i dont think the answer is 3189 it told me i was wrong so yea please help

Answers

Answer:

6% of 530 is 31.8 hope this is what you ment

what is the Greatest common factor shared by 80 and 100

Answers

Answer:

20

Step-by-step explanation:

[tex]GCD(80,100)\\\\\longrightarrow 80=2^4\cdot5\\\\\longrightarrow 100=2^2\cdot5^2\\\\[/tex]

so for two is

[tex]2^2[/tex]

and for 5 is

[tex]5[/tex]

so we multiply both

[tex]\longrightarrow 2^2\cdot5 \\\\=4*5\\\\=20[/tex]

we can use the euclidean algoritm as follows

[tex]100=80(1)+20\\\\80=20(4)\:\:\:\:\:\:\:\:\uparrow gcd[/tex]

Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in wall per gallon?
35/25
1 7/25
1/2
1 3/32

Answers

Answer:

Since your answer needs to be in walls per gallon I would assume you divide 4/5 by 5/8 since that would tell you how many walls he can paint in an hour.

4/5 walls÷5/8 gallons=1.28walls/gallon.

Step-by-step explanation:I hope this helps.  Let me know if anything is unclear.

Write (150 ^ 3) ^ 7 using a single exponent

Answers

Answer:

4.9878851e+45

Step-by-step explanation:

John bought 3 pants for 25 dollars each and paid with a one hundred-dollar bill. Write a numerical expression to represent this situation and then find how much money John gets back from the cashier?

Answers

your expression would be (3x25)-100

Please help me with this question.

Answers

X=3/2 or 2x=3 i think that should work for you

A flat screen tv at Best Buy costs $699 . The sales tax in Virginia is 5.3%. How much tax will you pay on the TV?

Answers

Answer:

736.05

Step-by-step explanation:699.00 x 5.3%=37.047

699.00 + 37.05 = 736.05

Answer:

$37.05

Step-by-step explanation:

$699 × 5.3%

We must convert 5.3% into just a decimal (not a percentage)

To do so, move the decimal to the left two places.

This would be 0.053

699 × 0.053 = 37.047

Although the exact number is 37.047, money is only paid within two decimals places, so let's round up to the nearest hundredth place

37.047 rounds up to 37.05

$37.05 is how much tax will be paid on the TV

Find the area of the geometric figure.

Answers

Answer:

area is 210 mi

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

21 x 7 = 147

14 - 7 = 7

7 x 9 = 63

147 + 63 = 210

explain the slope rules

I need them for my notes.

many thanks <3

Answers

Answer:

Rules for Calculating the Slope of Line

Find two points on the line. Count the rise (How many units do you count up or down to get from one point to the next?) Record this number as your numerator. Count the run (How many units do you count left or right to get to the point?)

Step-by-step explanation:

The number line below represents which combined inequality? (10 points)

number line with a closed circle on negative 6 and 5 with shading in between

x greater than or equal to −6 or x less than or equal to 5
x greater than or equal to −6 and x less than or equal to 5
x less than or equal to −6 and x greater than or equal to 5
x less than or equal to −6 or x greater than or equal to 5

Answers

Answer:

x is greater than or equal to −6 and x less than or equal to 5 (second option).

Step-by-step explanation:

This would be written as an "and" inequality; -6[tex]\leq[/tex]x[tex]\leq[/tex]5. Because the circle is closed on the number line, x is greater than or equal to −6 and x less than or equal to 5, and that's pretty much the answer!

Hope this helps!!!! Have an awesome day :3

Alberto bought his bicycle for$275. He sold for $350. What was the amount of his Percentage profit?

Answers

Answer:

Step-by-step explanation:

$350 -$275= $75 profit

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

y=2x+3 for the slope

Answers

x= -3/2

Step-by-step explanation:

y=2x+3 for the slope

move the variable to the left

divide both sides

solution solve

What is the equation of a line that is perpendicular to the line y = 2x + 4 and passes through the point (-2, 3)?

Answers

Answer:

[tex]y=-\frac{1}{2} x+2[/tex]

Step-by-step explanation:

The given equation is written in slope-intercept form:

[tex]y=mx+b[/tex]

where:

m is the slopeb is the y-interceptx and y are the corresponding coordinate points (x,y)

The slope is 2:

When two lines are perpendicular, their slopes will be opposite reciprocals. Find the slope of the line perpendicular to the given equation:

[tex]m_{1}=2[/tex]

This can be seen as:

[tex]m_{1}=\frac{2}{1}[/tex]

Flip the fraction (reciprocal):

[tex]\frac{2}{1}[/tex] → [tex]\frac{1}{2}[/tex]

Now find the opposite:

[tex]\frac{1}{2}[/tex] → [tex]-\frac{1}{2}[/tex]

So the slope of the perpendicular line is:

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

Now make an equation written in point-slope form:

[tex]y-y_{1}=m(x-x_{1})[/tex]

where:

m is the slope[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the corresponding coordinate points [tex](x_{1},y_{1})[/tex]

Insert information:

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

Simplify to slope-intercept form. Solve for y:

Use the distributive property:

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

Add 3 to both sides to isolate the variable:

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

:Done

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