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Simplify the numerator (top) by finding the pair of numbers which multiply together to give the C term of the quadratic, and add to give the B term. This gives 2 and 5 so the equation becomes (x+2)(x+5) /...

Twin studies are exceptionally important when studying the effect of genes on behaviour and psychopathology. Twins can be MZ (monozygotic) twins who share 100% of their DNA so they have identical genotype...

The equation dQ = mcdT tells us how the temperature of an object changes when heat energy dQ is added. In this case the specific heat capacity c is the same for the contents of both beakers since...

Original value = 150,000  10% original value =15,000  After 3 years year is 2008, house value = 150,000 - 3*(15,000) = 105,000Until start of 2012 from start of 2008, so 4 years of compound intrest.  New v...

a) 50 pens total. 2 + 7 = 9. Number of pens is done in 9s.  50/9 = 5r5, so multiple of 5.  Then 25 + 75 pens.    10 red and 35 yellow, 45 pens             
b) 18 red / 2 = [9]r0   31 yellow ...