1.consider the function
F(x)=log3x and g(x)=4log3( x+1 ) and answer the following questions

A. Describe each of the transformations required to transform the graph of f(x) to g(x)

B. Using the transformations you described above, draw a scetch of g(x). (On a graph)

C. Describe and give the equations for any asymptotes

D. List any x and y intercepts for any asymptotes and What is the behavior of g(x)?

Answers

Answer 1

Function transformation involves changing the form of a function

The transformation from f(x) to g(x) is a horizontal shift 3 units left, followed by a vertical stretch by a factor of 4The x and y intercepts are -0.67 and 1.91, respectively.The behavior of g(x) is that, g(x) approaches infinity, as x approaches infinity.

The functions are given as:

\(\mathbf{f(x) = log3x}\)

\(\mathbf{g(x) = 4log3(x+1)}\)

(a) The transformation from f(x) to g(x)

First, f(x) is shifted left by 1 unit.

The rule of this transformation is:

\(\mathbf{(x,y) \to (x + 1,y)}\)

So, we have:

\(\mathbf{f'(x) = log3(x + 1)}\)

Next. f'(x) is vertically stretched by a factor of 4.

The rule of this transformation is:

\(\mathbf{(x,y) \to (x,4y)}\)

So, we have:

\(\mathbf{g(x) = 4log3(x+1)}\)

Hence, the transformation from f(x) to g(x) is a horizontal shift 3 units left, followed by a vertical stretch by a factor of 4

(b) Sketch of g(x)

See attachment

(c) Asymptotes

The graphs of g(x) have no asymptote

(d) The intercepts, and the behavior of f(x)

The graph crosses the x-axis at x =-0.67, and it crosses the y-axis at y = 1.91

Hence, the x and y intercepts are -0.67 and 1.91, respectively.

The behavior of g(x) is that, g(x) approaches infinity, as x approaches infinity.

We know this because, the value of the function increases as x increases

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1.consider The Function F(x)=log3x And G(x)=4log3( X+1 ) And Answer The Following Questions A. Describe

Related Questions

FIND THE HEIGHT OF THE TRAPEZOID A =80 CM2 7CM 9cm what is H

Answers

\(\text{Area = }\frac{(B\text{ + b) }\cdot\text{ a}}{2}\)

B = 9

b = 7

A = 80

a = ?

Substitution

\(\begin{gathered} \text{ 80 = }\frac{(9\text{ + 7)}\cdot a}{2} \\ \text{ 80 = }\frac{16a}{2} \\ \text{ 80 = 8a} \\ \text{a = }\frac{80}{8} \\ a\text{ = 10 cm} \end{gathered}\)

The height of the trapezoid is 10 cm

You and four friends plan a surprise party. Each of you contributes the same amount of money m for food. Write an algebraic expression for the total amount of money contributed for food.

Answers

Answer:

y=x/4

Step-by-step explanation:

i don't know if this is right but i hope this helps :)

What value of x is in the solution set of 3(x – 4) > 5x + 2?

What value of x is in the solution set of 3(x 4) > 5x + 2?

Answers

Answer:

-10

Step-by-step explanation:

expand: 3x-12>5x+2

subtract 3x and subtract 2 to both sides

-14>2x

which is just

2x<-14

so x<-7.

the only value is -10. :D

Answer:

-10

Step-by-step explanation:

3(x – 4) > 5x + 2

Distribute

3x -12 > 5x+2

Subtract 3x from each side

3x-12-3x > 5x-3x+2

-12 > 2x+2

Subtract 2 from each side

-12 -2 > 2x+2-2

-14 > 2x

Divide by 2

-14/2 > 2x/2

-7 > x

X must be less than -7

-10 is less than -7

Please help!

Will mark brainliest!!

Please help!Will mark brainliest!!

Answers

Answer:

Let m = Number of months

Company A: 60+ 42.95 m

Company B: 25+49.95 m

60+ 42.95 m= 25+49.95 m

Subtract 42.95 from both sides

60 = 25 + 7m

Subtract 25 from both sides

35= 7m

Divide both sides by 7

m = 5

OAmalOHopeO

Pls Help, I will give 5 star and thanks, Plus Brain to correct answer, Plus extra points if correct!!



The table shows the relationship between the participants walking and running for the week's cross-country practices.



Walk (laps) 3 B 15

Run (laps) 5 10 D

Total (laps) A C 40



At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?

They will walk 7 laps and run 17 laps for a total of 32 miles.

They will walk 12 laps and run 20 laps for a total of 32 miles.

They will walk 14 laps and run 18 laps for a total of 32 miles.

They will walk 10 laps and run 22 laps for a total of 32 miles.

Pls Help, I will give 5 star and thanks, Plus Brain to correct answer, Plus extra points if correct!!

Answers

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

What is the direct proportional relationship?

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

Walked = 3/8 x Total Distance.Ran = 5/8 x Total Distance.

For a total distance of 32 miles, the distances walked and run are given:

Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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Graph the relation thank u and have a nice day

Graph the relation thank u and have a nice day

Answers

Answer:

first relation is correct

So option A is correct.

1.
A salesman earns $300 a week plus 20% of his sales. Which equation can be used to determine his
salary S if his weekly sales is x dollars?

Answers

Step-by-step explanation:

S = 300 x .20(x)

hope this helps

James has 9 and half kg of sugar. He gave 4 and quarter of the kilo gram of sugar to his sister Jasmine. How many kg of sugar does James has left?

Answers

Answer:

5.25 kg of sugar

Step-by-step explanation:

We Know

James has 9 and a half kg of sugar.

He gave 4 and a quarter of the kilogram of sugar to his sister Jasmine.

How many kg of sugar does James have left?

We Take

9.5 - 4.25 = 5.25 kg of sugar

So, he has left 5.25 kg of sugar.

Find the slope of the line

Find the slope of the line

Answers

Answer:

-3 / 2

Step-by-step explanation:

the answer is a fraction.

go "down 3" and "right 2"

this explains the fraction in word terms (down represents the negative number while right represents the direction of the point)

If you like my answer please mark me brainliest <33!!

A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.

Answers

Answer:

30 angels

Step-by-step explanation:

what is 6123-1144 with barrowing


Answers

Answer:

4979

Step-by-step explanation:

NOTE: For All Calculations In This Lab, Use The Approximation Of 62,500 Inches To The Mile When Necessary. ALWAY

Answers

By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving

The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.

For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.

Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.

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.

calculate the distance traveled over 9hrs 45 km at a speed of 840km/h

Answers

The distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

Speed can be thought of as the rate at which an object covers distance.

A fast-moving object has a high speed and covers a relatively large distance in a given amount of time, while a slow

moving object covers a relatively small amount of distance in the same amount of time.

To calculate the distance traveled over 9 hours at a speed of 840 km/h, follow these steps:

1. Identify the time and speed given in the student question: 9 hours and 840 km/h.

2. Use the formula for distance:

distance = speed × time.

3. Plug in the values:

distance = 840 km/h × 9 hours.

4. Calculate the distance:

distance = 7,560 km.

So, the distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.

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please help!!

8+w+5w

Answers

8+6w


if this helped brainilist me it helps me out alot

8+6w
you first have to combine like terms
so 5w + w would be 6w
then you see you can’t combine anything else so it would just be
8+ 6w

The weight of arctic polar bears is normally distributed with a mean of 980 pounds and a standard deviation of 105 pounds. What is the probability that a randomly selected arctic polar bear will weigh between 910 and 1,080 pounds?

Answers

The probability that a randomly selected arctic polar bear will weigh between 910 to 1080 pounds is 0.5775    .

To find the probability , we first standardize the weight range of interest using the z-score formula ;

⇒ z = (x - μ)/σ ;

Where x = weight  , μ = mean weight , and σ = standard deviation .

the mean weight of the arctic polar bears is (μ) = 980 pounds ;

the standard deviation of the weight is (σ) = 102 pounds ;

The lower end of the range:

⇒ z₁ = (910 - 980)/105 ≈ -0.67  ;

The upper end of the range:

⇒ z₂ = (1080 - 980)/105 ≈ 0.95 ;

Now by using a standard normal distribution table , the probability between these two z-scores can be written as :

⇒ P(-0.67 < Z < 0.95)

⇒ P(Z < 0.95) - P(Z < -0.67)

⇒ 0.8289 - 0.2514 = 0.5775  .

Therefore, the probability is approximately 0.5775 or 57.75%  .

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solve these.............​

solve these.............

Answers

Step-by-step explanation:

Hope this will help you. Btw sorry for the bad handwriting

solve these.............

What percent of the youths surveyed prefer reading electronic books? Round your answer to the nearest tenth of a percent.

What percent of the youths surveyed prefer reading electronic books? Round your answer to the nearest

Answers

Total number of people surveyed that read print be 54.

What is meant by percent?

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified.

When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage. All of something is 100 percent, half of it is 50 percent, and none of it is 0%. To calculate a percentage, multiply the result by 100 after dividing the part of the whole by the entire.

Total number of youths surveyed

= total number of those surveyed - total number of youths surveyed

=  119 - 64 = 55

Total number of youths that read electronic books 55 - 23 = 32

Total number of adults that read electronic books = 65 - 32 = 33

Total number of adults that read prints = 64 - 33 = 31

Total number of people surveyed that read print = 119 - 65 or 23 + 31 = 54

The complete question is:

A survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books.

23 youths said they preferred reading books printed on paper.

64 adults were surveyed.

65 total people said they preferred reading electronic books

119 total people were surveyed.

Fill in the missing values in the table below.

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What percent of the youths surveyed prefer reading electronic books? Round your answer to the nearest

Diane owns a small marketing company in austin. she has heard about a new restaurant opening in her town. diane wants to do business with the restaurant. which type of communication should she use for the purpose of an inquiry? a. a business letter b. an email c. a handwritten note d. a memorandum

Answers

Diane owns a small marketing company in Austin, the type of communication should she use for the purpose of an inquiry is a Business letter. This is further explained below.

A business letter is a letter from one company to another company or organization and its customers, clients, or other external parties. The general style of letters depends on the relationship between the parties.

A business letter is a formal document that is often sent from one company to another or, for example, from a company to its customers, employees and stakeholders. Business letters are also used for professional communication between individuals.

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ANSWER QUICK TO GET BRAINLIEST How do you put decimals when you're converting bases?

Answers

Answer:

Divide the decimal number to be converted by the value of the new base.

Get the remainder from Step 1 as the rightmost digit (least significant digit) of new base number.

Divide the quotient of the previous divide by the new base.

Record the remainder from Step 3 as the next digit (to the left) of the new base number.

Repeat Steps 3 and 4, getting remainders from right to left, until the quotient becomes zero in Step 3.

The last remainder thus obtained will be the Most Significant Digit (MSD) of the new base number.

Step-by-step explanation:

Stock in boomer branding inc started the week at $26.50 per share during the week the following changes in the share price were registered

Answers

Answer:33333333333333333333333333333333333

Step-by-step explanation: This isnt the answer i need points

.In a multiple regression model, the variance of the error term `eâ is assumed to be the same for all values of the dependent variable.
A)the same for all values of the independent variable
B)zero.
C)the same for all values of the independent variable.
D)one.

Answers

In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.

In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.

The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.

The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.

This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).

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If you buy lean ground beef and it is listed as 85% lean, how many grams of fat are in 0.75lb of this product? ( 1lb=454 g)

Answers

In 0.75lb (340g) of 85% lean ground beef, there are approximately 72 grams of fat.

To calculate the grams of fat in 0.75lb of 85% lean ground beef, we need to determine the fat content based on the percentage given. The term "85% lean" indicates that 85% of the weight of the ground beef is lean meat, while the remaining 15% is fat.

First, we convert 0.75lb to grams. Since 1lb is equal to 454g, multiplying 0.75lb by 454g/lb gives us 340g.

Next, we calculate the fat content by multiplying the weight of the ground beef (340g) by the percentage of fat (15%).

340g * 0.15 = 51g

Therefore, in 0.75lb (340g) of 85% lean ground beef, there are approximately 51 grams of fat.

However, the question asks for the fat content, so we subtract this value from the total weight to find the grams of fat:

340g - 51g = 289g

Therefore, there are approximately 72 grams of fat in 0.75lb (340g) of 85% lean ground beef.

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How many milliliter in 1 microliter?

Answers

From the given  information provided, by converting the units there are 0.001 milliliters in 1 microliter.

This means that if you have 1 microliter of liquid, it is equal to 0.001 milliliters of liquid.

The conversion factor between milliliters (mL) and microliters (μL) is:

1 mL = 1000 μL

Therefore, to convert microliters to milliliters, you divide the number of microliters by 1000.

For example, if you have 500 μL of liquid, you can convert it to milliliters by dividing 500 by 1000:

500 μL / 1000 = 0.5 mL

So, 500 microliters of liquid is equal to 0.5 milliliters of liquid.

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if two polygons are similar the corresponding sides must be

Answers

If two polygons are similar the corresponding sides must be proportional (option a).

If two polygons are similar, it means that they have the same shape but possibly different sizes. In similar polygons, the corresponding angles are equal, and the corresponding sides are proportional. This means that the ratios of the lengths of corresponding sides in the two polygons are equal. Therefore, the correct answer is that the corresponding sides must be proportional. The correct option is a.

The complete question is:

If two polygons are SIMILAR, then the corresponding sides must be

a. proportional

b. congruent

C. parallel

d. similar

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Please hurry I will mark you brainliest

Please hurry I will mark you brainliest

Answers

Answer:

To find width when given perimeter and length you must multiply the length by two and subtract that amount from the perimeter. Then divide the new number by two.

Step-by-step explanation:

Lindsey bought a picnic basket originally priced at $40 but on sale for 50% off. After 10% sales tax, what was the total cost?
$

Answers

The total cost price of the basket is $22.

What is Discount ?

 The discount is determined by dividing the purchase price by the item's par value. The discount is a type of cost price reduction or deduction for a product. It is primarily employed in consumer interactions when discounts on various goods are offered to customers. A percentage represents the discount rate.

Here ,

Original cost price of the basket = $40

After 50% offer the cost price of the bag is,

=> 40- 50% of 40

=> 40 - 20

=> $20.

Now the sales tax is 10% then,

=> 20+ 10% of 20

=> 20+ 2

=>$22

Therefore the total cost is $22 after discount.

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find all missing variables and the measures of each angle

find all missing variables and the measures of each angle

Answers

Answer:

X is 67 and the measure of the angle is 52 and Y is 32 and the measure of the angle is 128 degrees

Step-by-step explanation:

Suppose initially that the United States is consuming 18 boots and 2 shirts and Canada is consuming 4 boots and 12 shirts, as indicated in the figure. ​ Then, suppose the United States and Canada specialize by each only producing the good for which they have a comparative advantage and then trade. In​ particular, suppose the United States trades Canada half of its production for half of what Canada produces.
The United States will have ___ additional​ shirt(s) after the trade ​(enter a numeric response using an​ integer) and __ additional​ boot(s). At the same​ time, Canada will be able to consume ___ additional​ shirt(s) as a result of the trade and ___ additional​ boot

Answers

The United States will have 16 additional​ shirt(s) after the trade ​(enter a numeric response using an​ integer) and 0 additional​ boot(s). At the same​ time, Canada will be able to consume 14 additional​ shirt(s) as a result of the trade and 0 additional​ boot

With Alaska in the northwest and Hawaii extending the country's reach into the Pacific Ocean, the United States is a confederation of 50 states that encloses a sizable portion of North America. Significant Atlantic Coast cities include Washington, DC, and New York, a centre of international culture and economics. Chicago, a major city in the Midwest, is renowned for its significant architecture, whereas Hollywood, near Los Angeles on the west coast, is renowned for its film production.

If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.

The US will consume 16 shirts with trade. (4+12=16 and 16-2=14) The US will have 14 additional shirts.

With commerce, the US will consume 18 boots. 18-18=0

0 additional boots.

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Pls just say a b c or d

Pls just say a b c or d

Answers

This answer is c in this question

Answer:

c

Step-by-step explanation:

Brainliest, 100 points, and multiple choice!!
------------------------------------------------------------------------
Which single transformation is shown in the picture?

Hint: Label the pre-image and image with corresponding points. Pay particular attention to the orientation of the points.

Brainliest, 100 points, and multiple choice!! ------------------------------------------------------------------------Which
Brainliest, 100 points, and multiple choice!! ------------------------------------------------------------------------Which

Answers

Answer:

clarify

Step-by-step explanation:

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