A company expects that the number N(x) of a product sold during a week is related to the amount spent on advertising by the function N(x) = - 8x3 + 264x2 + 3240x + 18,000, where x (with 0sxs 27) is the amount spent on advertising in thousands of dollars. What is the point of diminishing returns? The point of diminishing returns is (Simplify your answer. Type an ordered pair. Do not use commas in the individual coordinates.)

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: Write the following functions as a sum of squares: (i) g(x) = x² – 2x and (ii) p(x) = 4x² +12x – 7.…

A:

Q: The number of Instagram monthly active users (in millions) between 2013 and 2015 can be modeled…

A: The number of instagram monthly active users between 2013 and 2015 be the…

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

A:

Q: Which polynomial function has a y-intercepts at X = -2, - 1, and 1? O A a(x) = 2x3-3x2- 3x + 2 b(x)…

A: putting the values of x = 1,-1 and -2  f(x) should be 0.

Q: Which function is equivalent to f(x) = 16x² + 40x + 25? %3D

A: f(x)=16x2+40x+25

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

A:

Q: Give the range of the following function- 6x-18/3x+9

A: We have to find the range

Q: A highway engineer develops a formula to estimate the number of cars that can safely travel a…

A:

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: From 2005 through 2010, an Internet sales company was hiring new employees at a rate of n(x) = 588 +…

A: We need to find function.

Q: What is another method for combining functions?

A: The functions can be combined by method of composition. That is, Let f:A→B & g:B→C be two…

Q: Is x^2 +x^5 an add function. Yes or no,?

A: I think there's a spelling mistake as you have written an add function which I think should be odd…

Q: The total number of audiences who went to watch movies in a certain cinema from January to December…

A:

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: Write the following functions as a sum of squares: (i) g(x) = x² – 2:r and (ii) p(x) = 4x²+12x – 7.…

A:

Q: A medium-sized shopping mall is open from 8:00 A.M. to 6:00 P.M. The number a C(t) = -50t² + 460t +…

A: A medium-sized shopping mall is open from 8.00 A.M to 6.00 P.M. The number of parked cars in a mall…

Q: Billy is on the roof of a building and drops a tennis ball off the side. The ball follows a path…

A: Here we have to find out how far away from the building the ball landed, we need to determine the…

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: Given H(a)=a4-3a^2-a+1, the domain is

A: The domain of a function is the set of all values of the variable for which the function is define.…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.