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Express 3(x^2) - 12x + 5 in the form a(x - b)^2 - c.

Starting with a(x - b)^2 - c, if we expand the bracket we get: a(x^2 - 2xb + b^2) -c Since we need to end up with the coefficient on x^2 being 3 and in the expression above x^2 is only multiplied by a, this ...
LH
Answered by Lucy H. • Maths tutor
11079 Views

What does ELISA measure?

ELISA, an acronym for enzyme linken immunoabsorbant assay, is a means of measuring the amount of a specific antibody in serum through treating a 96 well plate with antigens that stick well to the plastic wal...
KM
Answered by Kyle M. • Biology tutor
4884 Views

What is historiography and how can it be used in an exam essay?

Historiography is history as written by academics who are experts in the areas they have studied, and so their commentary and interpretations are regarded as reliable and credible. Though not explicitly necc...
CR
Answered by Chloe R. • History tutor
3108 Views

Why do firms only make normal profit in a perfectly competitive market?

Under a perfectly competitive market, there are a large number of buyers and sellers, where each of them are price-takers. If we imagine a supply and demand diagram, the S=D at equilbrium. If firms are initi...
SS
Answered by Shivani S. • Economics tutor
5795 Views

Write the complex number Z=1/2+sqrt(3)/2j both as a function involving cos & sin, and as a function involving an exponential.

|Z| = sqrt(1/2^2 + (sqrt(3)/2)^2) = 1 arg(Z) = arctan((sqrt(3)/2)/(1/2)) = pi/3 Z = cos(pi/3) + jsin(pi/3) Z = e^j(pi/3) Apologies for the use of sqrt(), I have no way yet of using the symbol on my laptop
SR
Answered by Sol R. • Maths tutor
4689 Views