Purplemath What is Cramer's Rule? Cramer's Rule is a method of solving systems of linear equations by dividing the values of two determinants. One determinant comes from the coefficient matrix; the other is created by replacing the column for a particular variable with the "answer" column whi...
That's really all there is to2-by-2determinants. Just make sure you multiply and subtract in the right order, and you'll be fine. You can use the Mathway widget below to practice finding the values of the determinants of2-by-2matrices (or skip the widget and continue on to thenext ...
The effect of ALEKS math support on standardized math test scores in middle school A quantitative causal-comparative and correlation research studied Assessment and Learning in Knowledge Spaces (ALEKS) at a middle school in rural Georgia... AD Fanusi - Dissertations & Theses - Gradworks 被引量: ...
What is an example of a function (in math)? One example of a function would be a pairing of families with their current (primary) home addresses. Given a family, there will be only one address at which the family members live for most or all of the year. The set of all the address...
MathHelp.comThink back to when you first learned about how to solve linear equations. If you were given something like 3x = 6, you would solve by dividing both sides by 3. Since multiplying by is the same as dividing by 3, you could also multiply both sides by to get the same answer...
Rational Roots TestWorked ExamplesPurplemath What is a zero or root of a polynomial? The zero of a polynomial is an input value (usually an x-value) that returns a value of zero for the whole polynomial when you plug it into the polynomial. When a zero is a real (that is, when the...
MathHelp.com Change of Base Formula You may have noticed that your calculator only has keys for figuring the values for the common (that is, the base-10) log and the natural (that is, the base-e) log. There are no calculator keys for any other bases. ...
When typingmath as text, such as in an e-mail, the "pipe" character is usually used to indicate absolute values. The "pipe" is probably a shift-key somewhere north of the "Enter" key on your keyboard. While the "pipe" denoted on the physical keyboard key may look like a "broken" ...
Purplemath What does it mean to operate on functions? "Operations on functions" is the process of taking two functions and applying binary arithmetical operations to those functions. This is a fancy way of saying that, in addition to evaluating and graphing functions, you can also do arithmetic...
Purplemath What is a vertical asymptote? Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. The graph of the rational function will never cross or even touch the vertical asymptote(s), since this would cause division by zero. Math...