fields such as finance and statistics, and you'll likely use them within everyday situations, such as splitting a bill, calculating a gratuity or working out a discount. Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex. According to the Quadratic Formula, x, the solution for Ax 2+Bx+C= 0 , where A, B and C are numbers, often called coefficients, is given by : Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: 1500 • x - (1500 • (x-10)) 15000 The conversion is done automatically once the nominator, e.g. 1500, and the denominator, e.g. 5, have been inserted.

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Percentages are represented by the symbol "%" and provide a standardized method to compare quantities or indicate changes. You'll find them used in Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator Adding fractions that have a common denominator : Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula Parabola, Finding the Vertex:

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Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step2above, -60 and 50 Give it a try now with a similar division by 5. What is the Quotient and Remainder of 1500 Divided by 5? Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell: To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier. L. Mult. • L. Num. 1500 • x

1500*5 | Microsoft Math Solver Solve 1500*5 | Microsoft Math Solver

Now the clever bit: Take the coefficient of x, which is 10, divide by two, giving 5, and finally square it giving 25 For any parabola, Ax 2+Bx+C,the x-coordinate of the vertex is given by -B/(2A). In our case the x coordinate is 5.0000 Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x-intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root). To calculate a percentage based upon a part (X) and a total (Y), divide the value of the part (X) by the total or whole amount (Y). Then, multiply the result Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or whole numbers, including 1500 and 5, of course. Now, on the left hand side, the x• x-10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

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A percentage is a number that expresses a portion or proportion of a whole in relation to 100. As an example, if 80% of a class passed an exam, it means that Step-2 : Find two factors of -3000 whose sum equals the coefficient of the middle term, which is -10. As an example, if you want to find what percentage 15 is of 300, you would divide 15 by 300, resulting in 0.05. Multiplying 0.05 by 100 gives you 5%. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :Use our percentage calculator to work out increases, decreases or percentage differences. Common uses include calculating tax, statistics, savings increases, Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

x-5) | Microsoft Math Solver Solve 2(x-5) | Microsoft Math Solver

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole Parabolas have a highest or a lowest point called the Vertex .Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .We know this even before plotting "y" because the coefficient of the first term, 1, is positive (greater than zero).