How is the graph of y = log (x) transformed to produce the graph of y = log (2 x) + 3?

Answers

Answer 1

Answer:

Step-by-step explanation:

The graph of log 2x has the same shape as that of log x, except that it is compressed horizontally by a factor of 2.

Additionally, that +3 indicates that we must translate the above graph upwards by 3 units.

Answer 2

we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.

We can transform [tex]y = \log x[/tex] into [tex]y = \log 2\cdot x +3[/tex] by means of the following operations:

Replace [tex]x[/tex] by [tex]2\cdot x[/tex]. (Dilation factor: 2)Translate the resulting expression 3 units in the +y direction. (Vertical translation)

That is, we represent the operations defined above mathematically:

1) [tex]y = \log x[/tex]

2) [tex]y = \log 2\cdot x[/tex]

3) [tex]y = \log 2\cdot x + 3[/tex]

In a nutshell, we must replace [tex]x[/tex] by [tex]2\cdot x[/tex] and then translate the function 3 units in the +y direction.

We kindly invite to check this question on transformation rules: https://brainly.com/question/17478764

How Is The Graph Of Y = Log (x) Transformed To Produce The Graph Of Y = Log (2 X) + 3?

Related Questions

helpppppp pleasee.Use the regression for Clothes-4-You coat sales to
make predictions.
How many coats should Clothes-4-You expect to sell
when the average temperature is 80°F?
What is the predicted temperature when 125 coats are
sold?​

Answers

Answer:

1.) 26.2

2.) -22.9

Step-by-step explanation:

i took the test

17 divided by 768 in long Division

Answers

Answer:

45 remainder 3.

Step-by-step explanation:

What is Blaine's driving rate in miles per hour

Answers

Sorry, but I don't see any information for me to use to answer that question.

Where is the information with the problem

83%
18)
Suppose two parallel lines are cut by a transversal. Which angles MUST be supplementary?
vertical angles
corresponding angles
alternate exterior angles
alternate interior angles

Answers

Supplementary angles are two angles that add up to 180.
Both alternate exterior angles and interior angles can be supplementary.

Write the expression: the sum of the quantity h and 3 divided by 6.

A) h/6 + 3
B) h/3 + 6
C) h+3/6
D) 6/h+3

Answers

Answer: C

Explanation: The word sum in math problems represents addition. So the sum of h and 3 ( h + 3 ) divided by 6

The expression which represents the sum of the quantity h and 3 divided by 6 is (h+3)/6 so option (C) is correct.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given,

The sum of the quantity h and 3 = h + 3

It is divided by 6 so, (h + 3)/6

Hence "The expression which represents the sum of the quantity h and 3 divided by 6 is (h+3)/6".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Which is equivalent to sin 51°?

A) cos 51°
B) cos 39°
C) tan 39°
D) tan 51°​

Answers

the answer is B
have a great day

The value which is equivalent to sin 51° is cos 39°. The correct option is B) cos 39°

Complementary angle theorem

From the complementary angle theorem, we have that

The sine of an angle is equal to the cosine of its complementary angle

That is,

sin θ = cos (90° - θ)

Recall: Complementary angles sum up to 90°

Then, we can write that

sin 51° = cos (90° - 51°)

sin 51° = cos 39°

Hence, the value which is equivalent to sin 51° is cos 39°. The correct option is B) cos 39°

Learn more on Complementary angle theorem here: https://brainly.com/question/26546085

Use the diagram to complete the table by matching the Theorem with the angle relationship.

Answers

Answer:

The Table with Correct reasons are as follows.

Step-by-step explanation:

The Table with Correct reasons are as follows

       Answer                                                  Angle Relationship

c. Corresponding Angles                       ∠ 1 ≅ ∠ 5

d. Same Side Interior                             ∠ 4 + ∠ 5 = 180

a. Alternate Exterior Angles                    ∠ 3 ≅ ∠ 6

b. Alternate Interior Angles                    ∠ 4 ≅ ∠ 5

c. Corresponding Angles                       ∠ 2 ≅ ∠ 6

What is the most efficient way to solve the equation?
5j = 40

Answers

Answer: j = 8

Step-by-step explanation: To solve for j in this equation, we want to get j by itself on the left side of the equation. Since j is being multiplied by 5, to get j by itself, we need to divide by 5 on the left side of the equation. Since we divided by 5 on the left side, we must also divide by 5 on the right side.

On the left side, notice that the 5's cancel out so we are simply left with j. On the right side, we have 40 divided by 5 which gives us 8 so we have j = 8.

Finally, remember to check your answer by substituting an 8 back into the original equation. So we have 5 (8) = 40 which is a true statement so our answer checks. Remember to show all your work when solving equations.

The Answer is :J=8  =)

missy sold between seven and 12 glasses of lemonade every hour at her lemonade stand. If she sold lemonade for two hours how many glasses could she have sold?

Answers

Answer:

"she could have sold between 14 and 24 glasses"

Step-by-step explanation:

7 to 12 glasses sold per hour

Min 7 glasses and Max 12 glasses

If she sold for 2 hours, her minimum would be:

7 * 2 = 14 glasses

and her max would be:

12 * 2 = 24 glasses

Hence,

she could have sold between 14 and 24 glasses

Can somebody please help me with this problem??? I can't figure it out...

Answers

We can use the Pythagorean theorem to solve. (a² + b² = c²)

Fill in with what we know → 6² + b² = 11²

Simplify → 36 + b² = 121

Subtract 36 to both sides → 36 - 36 + b² = 121 - 36

Simplify → b² = 85

Take the root of both sides → √b² = √85

Simplify → b = 9.2195...

Round if necessary → 9.2195 = 9.22

Hence, b equals 9.2195.. (unrounded) or 9.22 (rounded).

Best of Luck!

7.08 × 26
Estimate and then find the exact answer.​

Answers

Answer:

184.08

Step-by-step explanation:

A retailer who sells fashion boots estimates that by selling them for x dollars each, he will be able to sell 70−x boots each week. Use the quadratic function R(x)=−x2+70x to find the revenue received when the average selling price of a pair of fashion boots is x. Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.

Answers

Answer: $35 is the selling price and $1225 is the maximum revenue.

Step-by-step explanation:

Since we have given that

[tex]R(x)=-x^2+70x[/tex]

We need to find the maximum revenue.

So, We will first derivative it w.r.t. x.

So, it becomes,

[tex]R'(x)=-2x+70[/tex]

Now, we will find critical points.

So, R'(x) = 0

So, it becomes,

[tex]-2x+70=0\\\\-2x=-70\\\\x=\dfrac{70}{2}=35[/tex]

Now, to check whether it yields maximum revenue or not.

So, second derivative w.r.t. x, we get that

R''(x) = -2<0

So, At $35, it yields maximum revenue.

Amount of maximum revenue would be

[tex]R(35)=-(35)^2+70\times 35=-1225+2450=\$1225[/tex]

Hence, $35 is the selling price and $1225 is the maximum revenue.

How much greater is the probability that a motorcyclist will die in a motor vehicle crash compared to the occupants of a car?

10 times greater
20 times greater
35 times greater

Answers

Answer:

My personal opinion to this question would be 20 times greater.

Step-by-step explanation:

This is because in a car, there is more safety as there is airbags for the driver and the passenger seat also if the people sitting on the back, lean forward from the crash, they would most probably hit their head on the headrest.

Round 22,451 with 10

Answers

Answer:

22,450

Step-by-step explanation:

the ones place is below 5 so you keep the number

Answer:

22,450

Step-by-step explanation:

22,451 rounded to the nearest 10 is 22,450, as 1 rounds down to 0.

:)

1. If f(x) = log2 (x) and g(x) is the image of f(x) after a
translation five units to the left, which equation
represents g(x)?
1. g(x) = log 3 (x + 5)
2. g(x) = log 3 (x) + 5
3. g(x) = log 3 (x - 5)
4. g(x) = log 3 (x) - 5

Answers

Hi! The correct answer is 2. g(x) = log3 (x) + 5. Message me if you need further help.

The transformation of a function may involve any change. The correct option is 2. The value will be g(x) = log₂(x+5).

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k \times f(x)

Horizontal stretch by a factor k: y = f\left(\dfrac{x}{k}\right)

As we know to shift a function towards the left horizontally, we need to add the number of units to the value of x. Therefore, the function of g(x) will be written as,

g(x) = log₂(x+5)

Hence, the correct option is 2. The value will be g(x) = log₂(x+5).

Learn more about Transforming functions:

https://brainly.com/question/17006186

#SPJ2

How do i find out what is 5% of 30

Answers

Answer: 1.5

Step-by-step explanation: To find 5% of 30, first write 5% as a decimal by moving the decimal point 2 places to the right to get .05.

Next, the word "of" means multiply, so we have (.05)(30) which is 1.5.

So 5% of 30 is 1.5.

Answer:

1.5

Step-by-step explanation:

To solve, you put (5%) in the calculator, then (30) next to it, and the calculator gives you your answer. I think that's the easiest way to do it.

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 10 cubic feet and the volume of each large box is 24 cubic feet. A total of 23 boxes of paper were shipped with a combined volume of 426 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answers

x+y=23 and 10x+24y=426 can be used to determine the number of small and large boxes shipped where x represents the number of small boxes and y represent the number of large boxes.

Step-by-step explanation:

Given,

Volume of small box = 10 cubic feet

Volume of large box = 24 cubic feet

Total boxes shipped = 23

Combined volume = 426 cubic feet

Let,

x represent the number of small boxes.

y represent the number of large boxes.

x+y=23    

10x+24y=426

x+y=23 and 10x+24y=426 can be used to determine the number of small and large boxes shipped where x represents the number of small boxes and y represent the number of large boxes.

Keywords: linear equation, addition

Learn more about linear equations at:

brainly.com/question/11258952brainly.com/question/11343416

#LearnwithBrainly

plz someone help me 7(2m−1)−35m=65(4−3m)
Solve for m.
​Enter your answer in the space provided. Enter only your answer.

Answers

Answer:

Step-by-step explanation:

1. m = -1/5

2. c = -9.75

3. q = 0

Answer:

m = 89/56 = 1  33/56

(Can be simplified to 1.58)

Jake owns twice as many DVDs as Louis.Bo has sixty fewer DVDs than five times Louis’s collection. If Jake and Bo have the same amount of DVDs how DVDs are in Louis’s collection?

Answers

There are 20 number of DVD's in Louis collection

Solution:

Let "J" be the number of DVD's with Jake

Let "B" be the number of DVD's with Bo

Let "L" be the number of DVD's with Louis

Given that Jake owns twice as many DVDs as Louis

So we can say,

number of DVD's with Jake = 2(number of DVD's with Loius)

J = 2L  ------ eqn 1

Given that Bo has sixty fewer DVDs than five times Louis’s collection

So we can say,

number of DVD's with Bo = 5 times number of DVD's with Louis - 60

B = 5L - 60 ---- eqn 2

Given that Jake and Bo have the same amount of DVDs

number of DVD's with Jake = number of DVD's with Bo

J = B ---- eqn 3

Let us solve eqn 1, 2, 3 to find value of "L"

From eqn 1 and eqn 3,

2L = B  ----- eqn 4

Substitute eqn 4 in eqn 2

2L = 5L - 60

2L - 5L = -60

-3L = -60

L = 20

Thus there are 20 number of DVD's in Louis collection

Louis has 30 DVDs in his collection.

Let's denote the number of DVDs Louis has as L. According to the problem, Jake owns twice as many DVDs as Louis, so Jake has 2L DVDs. Bo has sixty fewer DVDs than five times Louis's collection, which means Bo has 5L - 60 DVDs.

Since Jake and Bo have the same amount of DVDs, we can set their quantities equal to each other:

2L = 5L - 60

Now, let's solve for L:

5L - 2L = 60

3L = 60

L = 60 / 3

L = 20

Louis has 20 DVDs in his collection.

How do I simplify -3(x-4)

Answers

The answer is = 3x+12

Explain what these ratios all have in common: 8:5,16:10,24:15 . Create a diagram to support your answer please and thank you

Answers

Answer:

Step-by-step explanation:

8:5, 16:10, 24:15

these can be written as 8/5, 16/10, 24/15

8/5

16/10 reduces to 8/5

24/15 reduces to 8/5

so basically, they are all the same ratio in simplest form

y equals 4x to the 3rd power minus 3 plus 2x to the second power

Answers

Y=4x^3 - (3+2x)^2 hope this helped! I wrote it out in the picture
It equals 3,969x........,,,.

Suppose an iphone loses 63% of its value each year. Write a function that represents the value of the phone after x years.

Answers

Answer:

The function which represent the phone value after x years                      f = i [tex](0.37)^{x}[/tex]

Step-by-step explanation:

Given as :

The rate of depreciation of i-phone value each year = r = 63%

The initial value of i-phone = $ i

The final value of i-phone = $ f

The time period for depreciation = x year

Now, According to question

The final value of i-phone = The initial value of i-phone × [tex](1-\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, $ f = $ i × [tex](1-\dfrac{\textrm r}{100})^{\textrm time}[/tex]

Or, $ f = $ i × [tex](1-\dfrac{\textrm 63}{100})^{\textrm x}[/tex]

Or, $ f = $ i × [tex](0.37)^{x}[/tex]

So, The function which represent the phone value after x years =                    f = i [tex](0.37)^{x}[/tex]

Hence, The function which represent the phone value after x years                     f = i [tex](0.37)^{x}[/tex]  Answer

The cost of pumpkin seeds is proportional to their weight. A 24-ounce bag of pumpkin seeds costs $6.00. What is the unit rate for the pumpkin seeds?

$0.24 per ounce
$0.25 per ounce
$0.40 per ounce
$0.60 per ounce

Answers

Answer:

$0.25 per ounce

Step-by-step explanation:

Look at this and now tell me if my deleted answer was right

https://brainly.com/question/14303747

Unit rate has to do with comparison or the proportionality of an item to its unit value or unit of measure.

The unit rate for the pumpkin seeds is $0.25 per ounce.

Based on this question, unit rate is the cost of 1-ounce of pumpkin seeds

From the question:

24-ounce of pumpkin seeds = $6.00

1- ounce of pumpkin seeds = ?

Cross Multiply

1 - ounce × $6.00 / 24-ounce

= $0.25

Therefore, unit rate for pumpkin seeds is $0.25 per ounce.

To learn more, visit the link below:

https://brainly.com/question/15711228

Which pair of ratios does not
form a true proportion?
A) 6:16 and 21:56
B) 2 to 10 and 15 to 75 C) 9/11=27/15
D) y = 5x

Answers

Answer:

C

Step-by-step explanation:

a juice company produced 8064 cartons of juice in 21 days each day they produced the same the same number of carton and delivered those carton 216 area of coffee shops the cart the cartons were delivered in cases of six cartons per case and each coffee shop received an equal number of cases in each delivery. how many cases were delivered to each coffee shop each day​

Answers

Answer:

The each coffee shops receives 4 cases of juice everyday.

Step-by-step explanation:

The juice company produced 8064 cartons of juice in 21 days each day they produced the same number of cartons.

Therefore, each day the company produces [tex]\frac{8064}{21} = 384[/tex] cartons.

The juice company delivers those cartons in 16 areas of coffee shops.

So, each coffee shop receives [tex]\frac{384}{16} = 24[/tex] cartons of juice.

Now, the cartons were delivered in cases of six cartons per case and each coffee shop received an equal number of cases in each delivery.

Hence, each coffee shops receives [tex]\frac{24}{6} = 4[/tex] cases of juice everyday. (Answer)

On Friday and Saturday, there were a total of 200 cars in the parking lot of a movie theater. On Friday, 120 cars were in the parking lot.

A. What percent of the total number of cars were in the parking lot on Friday?

Show your work.







B. What percent of the total number of cars were in the parking lot on Saturday?

Show your work.

Answers

Answer:

(A) 40%

(B) 60%

Step-by-step explanation:

Given:

Total number of cars = 200

Cars in parking lot on Friday = 120

Total number of cars = Total cars on Friday + Total cars on Saturday.

⇒ 200 = 120 + Total cars on Saturday.

⇒ Total cars on Saturday = 200 - 120 = 80

So, 80 cars were in parking lot on Saturday.

(A)

Percentage of cars in parking lot on Friday is given as:

[tex]=\frac{\textrm{Cars in parking lot on Friday}}{\textrm{Total cars parked}}\times 100\\\\=\frac{120}{200}\times 100\\\\=\frac{120}{2}=60\%[/tex]

Therefore, 60% of the cars were in the parking lot on Friday.

(B)

Now, since 60% of the cars were parked on Friday, the remaining percent will be on Saturday.

Therefore, percentage of cars in parking lot on Saturday = 100% - 60% = 40%. This can be verified with the same formula used in part (A).

[tex]=\frac{\textrm{Cars in parking lot on Saturday}}{\textrm{Total cars parked}}\times 100\\\\=\frac{80}{200}\times 100\\\\=\frac{80}{2}=40\%[/tex]

simplify c + 6 < -20

Answers

Answer:

Step-by-step explanation:

c + 6 < -20

Subtract 6 from both side

c +6 -6 < -20-6

c < -26

So value of c should be less than -26. Value of c = { - ∞ ...... -28, - 27 }

Eg:

If c = -27

-27 + 6 = - 21 . -21 is less than -20

round 98 inches to the nearest foot

Answers

Answer  8.17

Step-by-step explanation:

1.divide 98 by twelve, since there are 12 inches in a foot

98 \ 12

2.then round to the nearest tenth. 8.16 is rounded to  8.17

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

Answers

Answer:

43

Step-by-step explanation:

Remove parenthesis.

−6+3(2−4⋅−3+6)−5

Multiply −4 by−3.

−6+3(2+12+6)−5

Add 2 and 12.

−6+3(14+6)−5

Add 14 and 6.

-6+3(20)-5

Multiply 3 by 20.

-6+60-5

Add -6+60.

54-5

Subtract 54 and 5.

43

Other Questions
Rebecca moves to a large city that had two event stadiums. The larger stadium can hold 4.5 times 10^4 people, which is about 15 times as many people as the smaller stadium can hold. Which expression could represent the approximate amount of people the smaller stadium can hold? A 2.00x10^6 hertz radio signal is sent a distance of 7.30x10^10 meters from earth to a spaceship orbiting Mars. How much time does it take for the radio signal to travel from earth to the spaceship Someone solve this please Helppp can someone solve this please The ghost said he was doomed to walk the night by day he had to what 1) Members at a yoga school pay $10 per class plus a one-time $100 membership fee. Non-members pay$15 per class. How many classes would a member have to take to save money compared to taking classes as a non-member?2) Translate the statement into an equation. Then solve the equation. The sum of 8 and 3 times a number is 23. 6) Members at a yoga school pay $7 per class plus a one-time $120 membership fee. Non-members pay $11 per class. How many classes would a member have to take to save money compared to taking classes as a non-member? Answer all questions please, and if u can show u work, please...3)A rental car costs $36 for one day plus an additional $0.42 per mile. What is the cost of renting a car for one day and driving it 78 miles? 4) Alice earns 1.5 times her normal hourly rate for each hour she works after 40 hours in a week. She worked 50 hours this week and earned $660. What is her normal hourly rate?5) Cynthia orders 27 prints of a photograph she took. It costs her a total of $242.73. Which equation can be used to find how much each print cost? The FEMA Diversity Council Serve as "change agents" focused on creating a "culture of diversity" across FEMA through ________.(Select ALL that apply)a. visible commitment and frequent communication. b. reporting and disciplining all employee behavior that does not support diversity. c. by making diversity a key factor in organizational planning. d. both a and c. Why can many different species coexist and thrive in areas close to the equator? Fan Kuan, used many kinds of brushstrokes as he painted "Travelers Among Mountains and Streams." They were variously called raveled rope, raindrops, ax cuts, nailhead, and wrinkles on a devil's face." During which cultural time period did he paint? Compared to those who only speak one language, people who speak two languages are typically better able to perform complex processes and are less likely to experience symptoms of dementia. These cognitive benefits of speaking multiple languages occurs as a result of Chancery courts were founded on the proposition that children were under the protective control of the king, or _________________, which is the Latin phrase that refers to the role of the king as father of his country. An engineer chooses to use bamboo as a building material because it growsquickly and needs little space to grow. This is an example of Apex The image below shows two dilated figures with lines WX and W'X' drawn. If the larger figure was dilated using a scale factor of 4, what relationship do lines WX and W'X'have? SULAMe llamo Jorge Lpez. Lpez es mi:SellidoA. apellidoB. gustoC. llamoD. seor Write an equation that is perpendicular to3x - 5y = 5 and passes through the point(9, -14). HELP ME PLEASEWhat are the components that could be used in a mathematical formula? Check all that apply.variableexpressionvalueoperatorresult Which of the following snacks is appropriate for toddlers?A) 2 tablespoons of mashed banana and 1/2 cup of whole milkB) two cherry tomatoes and a cheese stickC) a snack-size bag of trail mix made with oats, raisins, and almondsD) six small strawberries and 6 ounces of nonfat yogurt To be considered for inclusion in the Barbizon Film Festival, a film must belong either to the category of drama or of comedy. Drama always receives more submissions but has a lower acceptance rate than comedy. All of the films are either foreign or domestic. This year, the overall acceptance rate for domestic films was significantly higher than that for foreign films. Within each category, drama and comedy, however, the acceptance rate for domestic films was the same as that for foreign films. From the cited facts it can be properly concluded that A. significantly fewer foreign films than domestic films were accepted B. a higher proportion of the foreign than of the domestic films submitted were submitted as dramas C. the rate of acceptance of foreign films submitted was the same for dramas as it was for comedies D. the majority of the domestic films submitted were submitted as comedies E. the majority of the foreign films submitted were submitted as dramas Advancements in adolescents' ability to process information and engage in abstract thought are due to a thickening of the _________ The systems view is important to managers because it a. underscores the importance of the organization's environment. b. allows them to eliminate the interaction among various elements of the organization. c. gives them a set procedure for making decisions. d. reduces their risk of human error. e. shifts the focus from outside the company to inside the company. Steam Workshop Downloader