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Solve (3x +1)/x + (2x-1)/3 = -3, giving x to two decimal places.

(3x+1)/x +(2x-1)/3 = (2x² + 8x + 3)/3x by cross multiplying.

So equation becomes 2x²+ 8x + 3 = -9x by multiplying both sides by 3x. Adding 9x to both sides gives 2x²

Answered by Jorge A. • Maths tutor

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Example Oral Question: Was hast du letztes Wochenende gemacht?

Zum Beispiel: Letztes Wochenende bin ich mit meinen Freunden ins Cafe gegangen, um Kaffee zu trinken, und mit einander zu reden. Das hat mir gut gefallen, weil wir sehr gut mit einander a...

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A car is moving on an inclined road with friction acting upon it. When it is moving up the road at a speed v the engine is working at power 3P and when it is moving down the road at v the engine is working at a power P. Find the value of P.

Incline is at θ where sin θ = 1/20 and mass of the car is 800kg and v is 12.5 m/s

Up the road: Power = Fv F = R + (800g)/20

...

Answered by Jonathan M. • Maths tutor

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Given two functions f and g where f(x)=3x-5 and g(x)=x-2. Find: a) the inverse f^-1(x), b) given g^-1(x)=x+2, find (g^-1 o f)(x), c) given also that (f^-1 o g)(x)=(x+3)/3, solve (f^-1 o g)(x)=(g^-1 o f)(x)

a) For an inverse function- "inputs become outputs" so swap the positions of the input-variable (i.e "x") with the output variable (i.e f(x)) and then rearange. Once rearanged so that...

Answered by Kendra K. • Maths tutor

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I can't take my books into the exam, how do I memorise them?

First thing is, try not to worry, it's only natural to panic about being able to quote your texts in a closed book exam but you have to remember that the examiners are not expecting you to be able to reci...

Answered by Sophy L. • English Literature tutor

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