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solve the Simultaneous equations: y= x+6 and y=2x^23

2x²= x + 62x² - x - 6 = 0
[+-1 x-12]2x² - 4x + 3x - 6 =02x(x-2) 3(x-2) = 0(2x + 3)(x-2) = 0x =2 or -3/2
y = 2 + 6 y = 8
y = -3/2 + 6y = 9/2
(2,8)(-3/2...

Answered by Lehana D. • Maths tutor

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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...

Answered by Oliver V. • Maths tutor

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Find the positive solution to b^2 +5b – 6 =o

(b-1)(b+6)=0b= 1 and -6Positive 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 - 6...

Answered by Adam S. • Maths tutor

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