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Simplify 3/(x+1) + (3x-9)/2 = 1, to get a quadratic equation in the format ax^2 + bx + c = 0.

First, add the two fractions together. The common denominator is 2(x+1), or 2x+2. The first fraction becomes 6/(2x+2). The second fraction becomes (x+1)(3x-9)/(2x+2), or (3x 2 -6x -9)/(2x+2). Added together,...
Answered by • Maths tutor
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How do I know if a curve is convex?

The second differential of the equation of the curve will be positive if it is convex. This is because, by definition, convex means that the gradient of a curve is increasing. To find the gradient of a curve...
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Answered by Josh W. • Maths tutor
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Discuss two factors that may affect ethnic differences in educational achievement

The ethnic differences in educational achievement are clearly visible. Sociological theories take into account both the factors within the educational system and external from it, that may have caused the af...
GZ
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How can I revise for unseen poetry?

No one can predict which poem will appear in the Unseen Poetry section of your GCSE, but becoming more comfortable with identifying poetic techniques and why poets might use these to achieve a particular eff...
JB
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Why are some government bonds negative?

Government bonds have only become negative in recent years, and we partially explain this by adapting our standard demand-supply diagram. Unlike in a normal market, government bonds are not valued by price, ...
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Answered by Tristan O. • Economics tutor
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