The total number of audiences who went to watch movies in a certain cinema from January to December can be modeled by the function f(x) = 4x3+10x2+2984x+12032 and the number of movies showed from January to December can be modeled by g(x) = 2x + 8, where x is the number of months since January. Which of the following expressions correctly describes the average number of audiences per movie?

The total number of audiences who went to watch movies in a certain cinema from January to December can be modeled by the function f(x) = 4x3+10x2+2984x+12032 and the number of movies showed from January to December can be modeled by g(x) = 2x + 8, where x is the number of months since January. Which of the following expressions correctly describes the average number of audiences per movie?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given, f(x)=15000+3000x , where x is the number of siblings and f(x) is the financial aid of the…

Q: The bar graph shows the percentage of people 25 years of age and older who were college graduates in…

Q: Given each pair of functions, calculate f (2), g (3) and f (g (x)). f (x) = 2x – 3 g(x) = a? - 7x +9…

A: The given functions are: f(x)=2x-3 and g(x)=x2-7x+9

Q: The annual number of cars and trucks sold by a dealership can be modeled by the functions given…

A: Given: x is the year from 2000 Cars sold: c(x)=1.118x3-22.1492x2+95.2693x+1210.7673 Trucks sold:…

Q: A bulk food storage bin with dimensions 3 feet by 4 feet by 5 feet needs to be increased in size to…

Q: In the year 2000, about 98.7% of households had telephone landlines. The number has decreased with…

Q: The bar graph on the right shows the average cost of room and board at four-year public and private…

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Definition used - The domain of the function - All the input values which a function can take are…

Q: A class has two options to pass the class: either the homework grade is at least 60% or the final…

A: Given Information: There are two options for a class to pass. Either the homework grade is at least…

Q: The wildlife game commission poured 5 cans of fish (each can contained approximately 100 fish) into…

A: We have to find the number of fish in the lake.

Q: By cutting away an x-by-x square from each corner of a rectangular piece of cardboard and folding up…

A: Since, it is given that by cutting away an x-by-x square from each cornerof a rectangular piece of…

Q: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."

A: Suppose the rule of the function f is "add one" and the rule of the function g is "multiply by 8."…

Q: Scotty McTiger hits a golf ball with an initial speed of 280 feet per second. The heights of the…

A: Given query is to find the time when ball hit the ground.

Q: Felix gets paid $5.25 per hour for being a waiter at a local restaurant. His boss also pays him $6…

A: See answer below

Q: Suppose a company sells kids bicycles. The company's profit can be represented by the function P =…

A: Company's profit can be represented by the function P = x2 +3x -5250, where x is the number of bikes…

Question

The total number of audiences who went to watch movies in a certain cinema from January to December can be modeled by the function f(x) = 4x³+10x²+2984x+12032 and the number of movies showed from January to December can be modeled by g(x) = 2x + 8, where x is the number of months since January. Which of the following expressions correctly describes the average number of audiences per movie?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A house painter has found that the number of job that he has each year is decreasing with respect to the number of years he has been in business. The number of jobs he has each year can be modeled as 104.35 jobs j(x) = X where x is the number of years since 2004. The painter has kept records of the average amount he was paid for each job. His income per job is presented in the table. Average Income per Job Year 2004 2005 2006 2007 2008 2009 2010 Income (dollars) 430 559 727 945 1228 1597 2075 (a) Fill in the blanks to complete an exponential model for average income per job, p, with input x aligned to years since 2004. (Remember to paste the unrounded function model into your calculator before reporting the answer with all numerical values rounded to three decimal places.) p(x) = dollars per job gives the average amount the painter was paid per job x years since 2004✓ ✔ . 0≤x≤6 (b) The equation for the painter's annual income is t(x) = [j(x)p(x) ✔ dollars. (c) Using the unrounded…
Fill out the table of values and select whether each function is odd, even or neither.
Given the following functions, find each of the values: f(x) 3 x² - 36 g(x) = x6 (f + g)(2) = (f – 9)( – 2) = (f g)(- 5) = (3) 9. Question Help: DVideo Calculator
Keyla went to the top of a bridge, threw a water balloon up into the air and watched it crash on the ground below. The height of the balloon, as a function of time, could be modeled by the function: f(x) =-(x - 4)² + 20. what is the maximum height that the balloon reaches?
Two YouTube videos were uploaded at the same time - one is a video of a puppy and the other is a video of a kitten. The puppy video was watched 300 times right away, and 500 times per minute after that. The kitten video was watched 2 times right away, and the total number of views increased by a factor of 4 each minute after that. Find the function describing the view count of the puppy video, P, t minutes after it was uploaded. P(t) = Find the function describing the view count of the kitten video, K, t minutes after it was uploaded. K(t) In which minute will the view count of the kitten video overtake the view count of the puppy video?
If f(14)=27, find f-1(27)
Find the point of diminishing returns for the given revenue function.R=−1.85(x3−24x2−27)R=-1.85(x3-24x2-27)For this function, RR stands for revenue and xx is the amount spent on advertising (in thousands of dollars).Amount spent on advertising: $ thousandRevenue: $ thousand
Complete the table given the following function: f(x) = -2x^2+1 f(x) - 2x² + 1 = - X f(x) -4 -31 -2 1 3 Ⓒ 1
A ball is dropped from a height of 40 feet. The function f(x)=40(0.6)xf(x)=40(0.6)x gives the height in feet of each bounce, where xx is the bounce number. What is the height of the fourth bounce to the nearest tenth of a foot? 5.2 feet 14.4 feet 40 feet 118.6 feet
A farmer wishes to build a divided pasture adjacent to the river, as shown in the diagram. Express the total area of the pasture as a function of x if 1000 feet of fencing is available for construction.
The worldwide sales in millions of hand-held PCs can be modeled by the function P(x) 1.85(x 1998) + 4 where x is the year. Use the function to determine the year when sales reach $25 million.
The number of pet dogs in the United States can be represented as p(t) million where t is the number of years since 2003.† (a) Write a sentence of interpretation for p(0) = 65.2. In the year , there were million pet dogs in the United States. (b) Write the function notation for the statement "There were 66.9 million pet dogs in the United States in 2009." p( )= ?