Mia opens a coffee shop in the first week of january.  the function  w(x) = 0.002x3  - 0.01x2  models the total number of customers visiting the shop since it opened after  x  days.  she then opens an ice cream parlor in the month of february.  the function  r(x) =  x2  - 4x  + 13  models the total number of customers visiting the parlor since it opened after  x  days.  which function represents the  difference,  d(x), in the number of customers visiting the two shops? d(x) = 0.002x3  + 1.01x2  - 4x  + 13d(x) = 0.002x3  + 0.99x2  + 4x  - 13d(x) = 0.002x3  - 1.01x2  + 4x  - 13d(x) = 0.002x3  - 0.99x2  - 4x  + 13

Delbert keeps track of total of the total number of points he earns on homework assignments, each of which is worth 60 points. at the end of the semester he has 810 points. write an equation for delbert’s average homework score a in terms of the number of assignments n.

Which of the following parabolas opens up?

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.