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How do you factorise a quadratic equation?

Often quadratic equations of the form a x 2 + b x+ c =0 can be easily solved by factorising. First, find pairs of numbers that multiply together to make c . Note that if c is positive, the two numbers will h...
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Answered by Matt M. • Maths tutor
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What are the causes of genetic mutations ?

Muataions within genes can be caused by several ways. Sometimes they can be spontaneous or other times they can be induced by environmental factors. These factors can include chemicals such as chemicals foun...
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Answered by Amy M. • Biology tutor
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Describe the process of translation

Translation takes place on ribsomes, which can be found on the rough endoplasmic reticulum (ER) or within the cytoplasm. Once the mRNA has been exported from the nucleus it binds to a ribsome. The ribosome s...
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Answered by Amy M. • Biology tutor
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If f(x)=7-4x, given that f(c)=9, find c

f(c) means let x=c. Remember that c is just an unknown number. The expression f(c)=9 means that when we put c through the function f(x)=7-4x, it gives the answer 9. Therefore we know 7-4c=9 is true. Now we h...
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Answered by Emma F. • Maths tutor
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Find the tangent of the following curve, y=xe^x, at x=1 expressing it in the form y=mx+c?

Firstly, we calculate the y-value when x=1, namely y=e. Then we need to find the gradient of this curve at x=1, which can be determined by taking the derivative of y and then valuate it at x=1. So dy/dx=xe^x...
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Answered by Bruno S. • Maths tutor
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