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The prime numbers (or prime integer, often basically called a "prime" for short) is a +ve integer p>1 that has no positive integer divisors other than 1 & p itself. A prime number p is a positive integer consist exactly one +ve divisor other than 1.)

For example, the only divisors of 13 are 1 & 13, making 13 a prime number, while the number 24 has divisors 1, 2, 3, 4, 6, 8, 12, & 24 (corresponding to the factorization 24=2^3·3), making 24 not a prime number. Other than 1 any +ve integer which are not prime are called composite numbers.

Prime numbers are the numbers that cannot be factored or, more exactly, are numbers n whose divisors are trivial & given by exactly 1 & n.

The number 1 is a special case which is thought about neither prime nor composite. Although the number 1 was thought about a prime , it requires special treatment in so plenty of definitions & applications involving primes greater than or equal to 2 that it is usually placed in to a class of its own and the list prime numbers.

A nice reason not to call 1 a prime number is that if 1 were prime, then the statement of the essential theorem of arithmetic would must be modified since "in exactly one way" would be false because any n=n·1. In other words, distinctive factorization in to a product of primes would fail if the primes included 1 need Math Problems Help.?

Who states "Why is the number 1 made an exception? This is an issue that schoolboys often argue about, but since it is a query of definition, it is not arguable."

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Introduction to plot line graph:

Scatter plot and line graphs are the important types of graphs in math. Scatter plot is mainly used to collection of large data and with the help of this we have to determine the position of the data. Line graphs are similar to scatter plots but here individual data is marked on the graph and they are joined by the line. In this article we are going to study about scatter plot and line graph with suitable diagrams and examples.

Scatter plots:

Scatter plots describes the relation between 2 variables by displaying dot points on the 2 dimensional graphs. The variable that is marked in the x axis is known as the explanatory variable and then the variable that is marked in the y axis is known as the response variable. Here scatter a line plot are marked by the dot in the graph plane. But this dot represents the several number of data.

Diagram of the scatter plot:

Uses of scatter plots:

Scatter plots provides the relationship between two variables. They are strength and their size, outliers and then shape.

Resultant facts:

• Data points are closed under the trend line with an upward slope then that scatter plot has strong positive correlation
• Data points are closed under the trend line with an downward slope then that scatter plot has strong negative correlation
• Data points are look like shotgun blast then no correlation is there Look here for math help.

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Introduction to plot line graph:

The coordinate graph is called as a Cartesian plane. The graph contains a few vertical lines called coordinate axes. The vertical y axis value and the horizontal axis value is the x axis value. The points of intersection of those 2 axes values are called the origin of coordinate graphing pictures. To a right point of the origin on the x axis value and above the origin on the y axis represents positive real numbers. To the left point of the origin value on the x axis or below the origin on the y axis represent negative real numbers. In this article we shall discuss about plot a line graph.

For line plot example:

Example 1:
Solving the given linear technique equation and plot the line graph.
2x - y – 8 = 0 ----- (1)
Solution:
In the first step we reduce the equation (1) in the form of y = mx + c, we get the following term
2x – y - 8 = 0
2x – y = 8
2x = y + 8
Multiply -1 for equation (1), we get
- 2x = - y - 8
y = 2x – 8
We plot the table for above equation,there we get Incredible Online Math
X 2 3 4
Y -4 -2 0

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Introduction for types of functions graphs:
Function graphs f is the collection of all ordered pairs (x, f(x)). In particular, and the real number is x, a graph means the graphical representation of this collection , in the form of a curve on a Cartesian plane, together with Cartesian axes, etc.Curve sketching is Graphing on the Cartesian plane.An ordered pair (x₁, x₂) of real numbers can be an function input x , the graph is the collection of all ordered triples (x₁, x₂, f(x₁, x₂)), and its graphical representation is a surface .

Types of Functions Graphs for Exponential:

For any number a ≠ 1,a>0, the function f : R → R defined by f(x) = ax is called an exponential function.
Note: R+ (the set of all positive real numbers) for exponential function the range
Examples of this types:
Draw the graphs of exponential functions examples f : R → R+ defined by (1) f(x) = 2^x (2) f(x)=3^x (3) f(x)=10^x
Solution:
For all these function f(x) = 1 when x = 0. Thus they cut the y axis at y = 1. For any real value of x, they never become zero. Hence the related curves to the above function do not meet the x-axis for real x. (or meet the x-axis at − ∞) Fig

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Introduction for intermediate algebra Help:
Intermediate algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures. Together with geometry, analysis, topology, combinatorics, and number theory, algebra is one of the main branches of pure mathematics.
The part of algebra called elementary algebra is often part of the curriculum in secondary education and introduces the concept of variables representing numbers.

The Fundamental Operations in Intermediate Algebra

In intermediate algebra and in other branches of mathematics, letters are used to represent numbers with unknown or unassigned values.

A number represented by a letter is called a literal number, and any number expression in which one or more number symbols are letter is called a literal expression.

In any number expression the parts connected by the signs + or - are called terms. An expression by either of the signs + or – consists of one terms, and is called a monomial. An expression consisting of three terms is a trinomial. In general, an expression consisting of two or more terms is called a polynomial in intermediate algebra.

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Introduction about grade 10 math patterns:

We are going to Learn grade 10 math patterns problem solving. This pattern problems are easy to understand and solve. in this problem involve basic solving problems. The following topics are studied in the 10 grade,

• Number systems
• Measurements
• Algebra
• Geometry
• Algebraic geometry
• Trigonometry
• Handling data

The grade 10 math patterns solving problems are given below.

10 Grade Math Patterns Example Problems:

Example 1:
Find the 12^th term of an A.P. 6, 1, -4…
Solution:
Consider the A.P in the form a, a +d, a + 2d…
Here, a = 6, d = 1 – 6 = -5, n = 12
t_n = a + (n-1) d
t₁₂ = 6 + (12 – 1) (-5) = 6 + (11x – 5) = 6 – 55 = -49
The 12^th term is – 49
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--> Introduction to free math help now:
It is the study of quantity, structure, space, and change help with math. The Great mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics is used all over the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Now, we are going to get free help with some of the math problems.

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Example problem :
Simplify the expression: 29x + 7y - 15x - 9y + 2x + 2z
Solution:
29x + 7y - 15x - 9y + 2x + 2z
Add the like terms in the given expression
(29 - 15 + 2) x + (7 + (-9)) y + 2z
Simplify the expression online math homework help
16 x - 2y + 2z

So, the answer is 16 x - 2y + 2z.