Posts Tagged ‘equals’
Tuesday, November 17th, 2009
Overview of the Break-Even Point
Description
A detailed tutorial on the break-even point. Step by step tutorial including several examples of the break-even point for reference.
Overview
The break-even point is used very often in business math and accounting, and first appears in basic algebra classes. The break-even point is where the cost of something equals the revenue. In other words, the break-even point is where there is no profit lost or gained on a transaction. Most businesses aim to get above the break-even point, although they will at least aim for it so they do not fall below it.
Tags: accounting, algebra, break, break-even, business, cost, equals, even, fixed, function, gained, lost, point, price, profit, revenue, variable
Posted in Algebra | No Comments »
Friday, October 9th, 2009
Notation in Set Theory
Description
A detailed tutorial of the notation in set theory. Step by step tutorial including several examples of the notation in set theory for reference.
Overview
The notation for set theory, also called set notation or set-builder notation, is simple. It consists of a special curled bracket enclosing the elements of the set. It also includes a variable, x. When using the notation for set theory, your elements will be arranged such as {x|x = …}. You could have what x is equal to, what x in not equal to, you could say that x is less than or greater than something, or that x must be something. Whatever x is, is part of your set. If x is a natural number less than 2, then your only element is 1. Reading the set and writing the set is not difficult, but can be confusing if you don’t understand that all x stands for is all the elements of the set, and has no significance outside of that.
Tags: bracket, discrete math, elements, equals, Math, notation, set, set-builder, theory, variable, x
Posted in Discrete Math | No Comments »
Friday, October 9th, 2009
Ordered Pairs Explained
Description
A detailed tutorial on ordered pairs. Step by step tutorial including several examples of how to solve problems using ordered pairs for reference.
Overview
An ordered pair is a set of two elements that is in a specific order, that is, (a, b) would be different from (b, a), unless a = b. In ordered pairs, the order of the elements are extremely important. And example of a well-known ordered pair would be a Cartesian coordinate.
Tags: a, arithmetic, b, cartesian, coordinate, element, equals, graph, Math, order, ordered pair, pair, set
Posted in Arithmetic | No Comments »
Thursday, October 8th, 2009
How to Use the Second Derivative Test
Description
A detailed tutorial on how to use the second derivative test. Step by step tutorial including several examples of how to use the second derivative test for reference.
Overview
The second derivative test is more well-known than the first derivative test, and is often thought to be more accurate. The second derivative test states that if the second derivative of a function is less than zero, then there is a local maximum at x. If the second derivative of a function is greater than zero, then there is a local minimum at x. However, if the second derivative of a function is equal to zero, then the local maximum or minimum cannot be determined. Then you must use the first derivative test to figure it out. The second derivative test can also be used to figure out the concavity of a function – that is, if a curve is pointing up or down. This is normally used to help create the image of the function on a graph.
Tags: Calculus, chart, concavity, critical points, curve, derivative, equals, extrema, extremum, first derivative test, function, graph, Math, maxima, maximum, minima, minimum, negative, positive, second derivative test
Posted in Calculus | No Comments »
Thursday, October 1st, 2009
Identity Properties of Multiplication and Addition
Description
A detailed tutorial of the identity properties of multiplication and addition. Step by step tutorial including several examples of the identity properties of multiplication and addition for reference.
Overview
There are two definitions of the identity property. The first deals with multiplication. It states that anything multiplied by one is itself. The second property deals with addition. It states that any number with zero added to it equals itself. As you can see, they are very similar to each other. Sometimes the zero property of multiplication is confused with the identity property for multiplication, although it is something different.
Tags: add, addition, arithmetic, equals, identity properties, identity property, itself, Math, multiplication, multiply, one, zero
Posted in Arithmetic | No Comments »
Tuesday, September 15th, 2009
An In-Depth Look at the Transitive Property
Description
A detailed tutorial on the use of the transitive property. Step by step tutorial including several examples of how to use the transitive property for reference.
Overview
The transitive property states that if a = b, and if b = c, then a = c. This makes sense, because the first statement, a = b, tells us that a must be the same value as b. The second statement then tells us that b = c, meaning that b and c have the same value. If c has the same value as b, and b has the same value as a, then a = c. In time the transitive property becomes something we do so often that we don\’t even think about it being an actual property anymore.
Tags: arithmetic, equals, Math, property, transitive, transitive property, values
Posted in Arithmetic | No Comments »
