Rings homomorphisms, if A is an ideal and phi is onto S,then phi(A)is an id...

if A is an ideal and phi is onto S,then phi(A)is an ideal.

Vertical angles,

Permutations, How many ways can five people line up if two of them cannot s...

How many ways can five people line up if two of them cannot sit together?

Geometric Sequences, How do you write an exponential decay function to mode...

How do you write an exponential decay function to model a situation?

Financial Polynomial., Compounded semiannually P dollars is invested at ann...

Compounded semiannually P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1 + r/2)^2 represents the valu

Subsitution, y=4x-5 y=2x+1

y=4x-5 y=2x+1

Linear Algebra, Find regular grammar for a(a+b)*(ab*+ba*)b

Find regular grammar for a(a+b)*(ab*+ba*)b

One-to-one function, A function is called one-to-one if no two values of x ...

A function is called one-to-one if no two values of x produce the same y. It is a fairly simple definition of one-to-one although it takes an instance of a function which isn't one

Factorable quadratic equation, Let's begin with                         ...

Let's begin with                                                       x 2 + bx and notice that the x 2 hold a coefficient of one. That is needed in order to do this. Now,

Graph of piecewise functions, We should graph a couple of these to make sur...

We should graph a couple of these to make sure that we can graph them as well. Example : Sketch the graph of the following piecewise function. Solution Now while w