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Find the max/min value of the function: f(x) = 5x^2 - 20x + 15

A quadratic function will either have a minimum or a maximum value depending on the shape of the function. A quadratic function with a positive value in front of the x^2 term has a U shape and therefore has ...
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Answered by Peter H. Maths tutor
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Expanding Brackets: (x+3)(x+4)

Expanding Brackets: 1) FOIL (first pair, outer pair, inner pair, last pair) 2) (x+3)(x+4)=x^2+4x+3x+12 3) exemplifying why to do FOIL method by subbing in a value for x (e.g. x=3) 4) (3+3)(3+4)=6x7=42 5) usi...
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Answered by Ruben P. Maths tutor
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Simplify fully 3(3 – x) – 2(x – 4)

3(3 – x) – 2(x – 4)Open out the brackets--> 9 - 3x - 2x + 8Simplify--> -5x +17
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Answered by Laura C. Maths tutor
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What does differentiation mean and represent? (A-Level students)

Simply put, differentiation allows you do find the gradient of a line, whether it is linear or a curve. When you first learn about the equation of a straight line, commonly displayed in the form y=mx+c, wher...
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Answered by Sam T. Maths tutor
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Express 56 as a product of its prime factors

56 7 x 8 products of 56, 7 is a prime factor 2 x 4 2 is a prime factor 2 x 2 Therefore, 56 as a product of its prime factors is 7 x 2 x 2 x 2 OR 7 x 2^3
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Answered by Isabella T. Maths tutor
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