Familiarization with math

Let us learn steps to divide and simplify:

How to divide a fraction is the technique to perform, it only requires multiplication. keep the first fraction as it is when two fractions are dividing and then multiply the first fraction with the reciprocal of the second fraction (i.e. invert of the second fraction). Example: How to divide fractions 1/6 / 7/8 Keep the first fraction 1/6 as it is = 1/6 And then reciprocal the second fraction = 8/7 Need help with linear programming examples 1/6 x 8/7 = (1 x 8)/ (6 x 7) = 8/42 = 4/21.this is after multiplying both the fractions.
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Introduction to Solve exponential equations

Online Solving makes the student to interact with the online tutors and let them to clear their doubts in solving exponential equation.

Solving it online makes exponential equation is one of the instant types of learning where student can solve the problem easily with the guidance of online educators.

Equation is which has the variables in the exponent. Same log,logarithmic rules are used to find Exponential equation do you want to learn how to calculate pi.

Solving Exponential Equations Online ...

• To find the exponential equation, take log on either sides and solve the variables.
  
• When the base of the exponential equation is equal on either sides, then the equation can be solved by using the property, if b^x = b^y, then x = y, where b > 0 and b ≠ 0.
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Do you work out fractions

* If they add six fraction values, when the fractions have same denominator values means adding six fractions done basically. Denominators are same means, they add the numerator. If there is a necessity, simplify the result fraction values.

* When the fractions have different denominator values means convert the denominator in to common denominator by using the L.C.M and then they perform rename the fraction values and add fractions get help with online graphing calculator with table.

* When the fractions have mixed numbers means they add the mixed numbers in six different ways such as converting mixed numbers in to improper fractions and another way they add the whole numbers and fractional numbers separately.
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Introduction for Linear Programming:

Linear programming solver is the universal method of most favorable part of limited wherewithal such as labor, substance, engine, resources etc., to quite a few competing behavior such as goods, services, jobs, projects, etc, on the fundamentals of known criterion of optimality. The phrase limited at this point is used to describe the availability of scarce resources during planning period. The principle of optimality usually means either performance, return on investments, utility, time, distance etc.

Structure of Linear programming examples:

The LP model contains the following 3 fundamental elements.

• The decision variable that we seek to determine.
• Objective (goal) that we aim to optimize (minimize or maximize )
• Constraints that we need to satisfy.

Formulation of linear programming problem:

The procedure consists of the subsequent chief steps

Step 1: Study the given situation to find the key decision to be made.

Step 2: Identify the variables involved and designate them by symbols x_j (j=1, 2…)

Step 3: Express the feasible alternatives mathematically in terms of variables, which generally are: x_j >=0 for all j for Math Question and Answer.

Step 4: Identify the constraints in the problem and express them as linear inequalities or equation involving the decision variables

Step 5: Identify the objective of the function and express it as a linear function of the decision variables.

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Let us learn about bar graph examples:

In pictograph, we use pictures to represent data. This Process of representing numerical data take more time and it is difficult to compare two items. Here rather than symbols and pictures it is better to use bars. This type of using bars is called bar graph or bar diagram. The bar-graph represents the information by rectangular bars in which a unit square is taken to indicate the value of certain number or quantity. Here, let us know how to draw or how to construct the simple bar graph.

Simple Bar Graph-example Problem :

1. Draw the simple bar graphs for every month expenditures of a family:

items	expenditures
House rent	2000
Food	3000
Education	800
Electricity	400
Transport	600
miscellaneous	600

Solution:
Bar graphs showing the every month expenditure of a family on various items.

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Let us learn about plane trigonometry:

Trigonometry is the division that deals with study of plane and spherical triangles. Plane trigonometry consists of 2 dimensional triangles the ones that we can draw on the paper.or we can say Plane trigonometry is the sub division of trigonometry in which its principles are applied to the plane triangles.If enough sides and angles are known we can calculate the remaining sides and angles as well as area and hence we can solve the triangles. Triangles can also be solved by the law of sine and law of cosines.

Important things to remember

1) Pythagorean theorem

2) Trignometric Functions

3) law of Sines and Cosines

4) Trigonometric identities

5) Half and double angle formula

Do you need to know more about kinds of triangles .

Basic Formulas Used in Plane Trigonometry

Pythagorean theorem

As square of the hypotenuse is = sum of the squares of the other 2 sides in the Right Triangle.The hypotenuse is the longest side.if two sides of triangles are given as a and b and hypotenuse = c so according to the theorem

From the above right triangle we have ( hypotenuse)²= (leg)²+ (height)²

c²= a²+ b²

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Introduction to algebra factorising:

In algebra equations factorisation is one of the important method. Factorisation gives the x values of the given algebraic equations. Factoring the equations gives the desired value of the function. It is very easy and simple. General form of the algebraic equation can be written as, ax² + bx + c. In factorisation, we find two or more factor values. Quadratic equations are mainly used for factorising process.

Problems - Algebra Factorising

Find the factor value of the given quadratic equation x² - 2x - 35 = 0

Solution:

Given quadratic equation is x² - 2x - 35 = 0

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First, we have find the two numbers that add to be give the value of (- 2) and give the product of (- 35).

For in this case, that two numbers are - 7, 5. So we exchange - 2x as (- 7x + 5x)

Therefore, the given equation can be rearranged and written as,

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

Then, group the first two terms and second two terms

(x² - 7x) + (5x - 35) = 0

Take the biggest common number from the group, we get

x (x - 7) + 5 (x - 7) = 0

(x + 5) (x - 7) = 0

Separately equate the two values to zero, we get

x + 5 = 0, x - 7 = 0

x = - 5, 7

Answer:

The factors are x = - 5, 7

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