Explain Even function

Let us study about Even function and odd function,

Even function

A function f : AB is said to be an even function if
f(x) = f(-x) for all xA.

how to find domain and range of f depends on the definition of the function.
Examples of even function are

y = cosx, y = x2, y = secx
A polynomial with only even powers of x is an even function.


I hope the above explanation was useful.

factoring trinomials calculator

Hi Friend, Good Afternoon!!!

Let us learn about "factoring trinomials calculator"
The equation or a function is in the structure of ax²+bx+c =0 (where a≠0, b, c are constants ) called as trinomials. We can also refer it as a quadratic function. An algebraic expressions which has 3 terms known as trinomials. The trinomials having highest power 2.The trinomials have the two roots. There are two ways to factor the trinomial according to the co-efficient of x² . In the following section we are going to learn how to factor the trinomials by using trinomials calculator.

Factor Trinomials Calculator Method 1:

For factoring the trinomials we must know the below two methods.

Factor trinomial calculator Method 1:

If the coefficient of x² is one. That is a=1.

x²+bx+c=(x-r₁)(x-r₂), In this r₁ and r₂ are the roots of the trinomial equation

(x - r₁) and (x - r₂) are the factors of the trinomial.

In our next blog we shall learn about "factors of 24"I hope the above explanation was useful. Keep reading and leave your comments.

Grams & Kilograms

Let us study about Grams and kilograms,

Grams : Unit of mass equal to 0.001 kilogram , the basic unit of mass in the metric system . The gram is the unit of mass in the cgs system . It is approximately equal to 0.035 avoirdupois ounce, or 0.0022 pound; a 1-pound mass equals about 453.6 grams.


Kilograms : Fundamental unit of mass in the metric system , defined as the mass of the International Prototype Kilogram, a platinum-iridium cylinder kept at Sèvres, France, near Paris. Copies of this standard are deposited at bureaus of standards throughout the world, and other units of mass are defined in terms of it. When the metric system was originally devised, the kilogram was defined so that 1,000 cubic centimeters (1 cubic decimeter) of pure water has a mass of exactly 1 kilogram.

Now guess how to convert grams to kilograms,

just convert grams to kilograms by dividing by 1000.

I hope the above explanation was useful.

How to divide numbers

Let us study how to divide numbers,
Meaning of the term division is dividing the group into equal parts. Use of the term division is dividing. During the division we can get the quotient and the remainder. We can do division in single digit, double digit, treble digit, 4 digits and 5 digits etc. Let us see 4 digit divisions in this article.
Division:

Division means divide the group into dividend. Division is represented by the symbols ‘/’, ‘) (‘or ‘ [] ’. Normally division has one operator and two operands.

For example:

a [] b here the variable ‘a’ and b is called as operands and the symbol’ [] ’is called as operator. By the way of division we get quotient and remainder.

I hope the above explanation was useful, now let me give some examples of dividing numbers.

Subtracting integers

let us study about Integers,
n number theory, a partition of a positive integer n is a way of writing n as a sum of positive integers. Two sums which only differ in the order of their summands are considered to be the same partition; if order matters then the sum becomes a composition. A summand in a partition is also called a part. The number of partitions of n is given by the partition function p(n).

I know how to subtract integers

To subtract integers, rewrite as adding opposites and use the rules for addition of integers.

Recall that rules for addition of integers is:

Rule 1:

The sum of two or more positive integers is a positive integer.
The sum of two or more negative integers is a negative integer.

Rule 2:

To find the sum of a positive and a negative integer:
Subtract the two numbers (ignore the signs) and then keep the sign of the larger integer.

Example:

9 -14 = 9 + (-14) = -5

-12 - 6 = -12 + (-6) = -18

-10 - (-7) = -10 + (- - 7) = -10 + 7 = -3

I hope the above explanation was helpful.

Cumulative Line Graph

Let me explain about Cumulative Line Graph ( Ogive ),
Data may be expressed using a single line. An ogive (a cumulative line graph) is best used when you want to display the total at any given time. The relative slopes from point to point will indicate greater or lesser increases; for example, a steeper slope means a greater increase than a more gradual slope. An ogive, however, is not the ideal graphic for showing comparisons between categories because it simply combines the values in each category and thus indicates an accumulation, a growing or lessening total. If you simply want to keep track of a total and your individual values are periodically combined, an ogive is an appropriate display.

For example, if you saved $300 in both January and April and $100 in each of February, March, May, and June, an ogive would look like Figure 1 .

Figure 1

Ogive of accumulated savings for one year.

An ogive displays a running total. Although each individual month's savings could be expressed in a bar chart you could not easily see the amount of total growth or loss, as you can in an ogive.
I guess the above explanation was helpful, now let me explain you graphing linear inequalities in two variables.

Improper Fraction

Let Us Learn About Improper Fraction

If the numerator of a fraction is greater than or equal to denominator, then such a fraction is called an improper fraction.

For Example 13/4, 17/12, 125/23, 271/100 ..........

An improper fraction is one in which Numerator (top number) is greater or equal to bottom number(denominator).

Improper fraction results in mixed number. A mixed number is written as a whole number plus fraction.

In simple words improper fraction is always greater than or equal to 1.

We shall learn about Mixed Fraction in our next blog

keep reading and leave your comments.