Fast food companies know that the number of products they sell is a function of the price of the product. For example, if they sell a certain product for a lower cost they will sell more of that product. However, if they sell the product for too low of a cost they lose money even though they are selling more. At Frank's Hamburger Barn, they discovered that if they price their hamburger at $3.75 each, they will sell 32,000 hamburgers in a month. However, they found that if they want to sell 49,600 hamburgers in a month, they need to sell them for $2.65 each. The owners of Frank's also discovered that in order to make a profit they need to sell the hamburgers for at least $2.25 a. What quantity represents the input in this situation? Define a variable to represent this quantity. b. What quantity represents the output in this situation? Define a variable to represent this quantity. c. Without using regression, determine a formula for the linear function,f, that represents the given situation. d. Determine a practical domain for the function f. e. Determine a practical range for the function f.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
See image. Can you please keep the steps clearly labeled (like a., b., c., d., etc.)? Thank you!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
