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We know the presence of the quadratic means there must be two solutions for x. We can solve this problem by treating the formulas for the graphs as simultaneous equations. We can substitute in the formula...

Lets take 18 and 48 as our two numbers for an example.
Break both down into products of their prime factors using factor trees: 18=3x3x3x2 and 48=3x2x2x2x2.
Write the prime factors as a Venn dia...

a) the triangle is isosceles so the two missing angles must be identical. all angles in a triangle add up to 180. therefore, 180-40=140 140/2 = 70* = xb) this triangle has two angles given already, so the...

y = x² + ax + bWhen x=1:47 = (1)² + a(1) + b47 = 1 + a + b46 = a + bWhen x = 260 = (2)² + a(2) + b60 = 4 + 2a + b56 = 2a + b Let this be equation 1Let 46 = a + b be equati...

100 + (3.5 x 15) = 152.50 100 x 1.03¹⁵ = £155.80 Therefore he should choose savings account B because after 15 years he will have gained more money through interest than in account A...