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Prove that 0.5757... (recurring) = 19/33. Hence, write 0.3575757... (recurring) as a fraction in its lowest terms.

Two parts to the question. Let's focus on part one:Let x = 0.575757... (1)This means that 100x = 57.575757... (2)If you subtract (1) from (2), we get: 99x = 57Divide both sides by 99: x = 57/99Simplify: x = ...
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Answered by Oliver V. • Maths tutor
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Find the positive solution to b^2 +5b – 6 =o

(b-1)(b+6)=0 b= 1 and -6 Positive Solution = 1
Answered by • Maths tutor
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Find the stationary points of y = x^3 -3x^2 - 9x +5

A stationary point is a point where dy/dx = 0.First we need to find dy/dx. This is done by differentiating y term by term to get dy/dx = 3x^2 - 6x - 9.Setting this equal to zero, we need to solve 3x^2 - 6x -...
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Answered by Adam S. • Maths tutor
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Make x the subject 2x+3=3x-1

rearrange by taking away 2 and adding 1
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Answered by Katherine A. • Maths tutor
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Find the values of x: x^2 + 14x + 22 = 4x -2

x 2 + 14x + 22 = 4x -2 1) First you should arrange the equation into the format ax 2 + bc + c = 0. This gives x 2 + 10x + 24 =02) Factorise into (x+n)(x+m) = 0. To work out what n and m are, you must figure ...
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Answered by Gemma M. • Maths tutor
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