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Consider how accurate it is to describe the USA as having a two-party system.

The United States of America is infamous for a lack of electoral success by third parties, such as the Libertarians and Greens. This is perhaps best explained by the first-past-the-post electoral systsem ...

Answered by Jamie W. • Government and Politics tutor

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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...

Answered by Imogen L. • German tutor

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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

3524 Views

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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