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Angela wants to bake a cake. She needs:250g flour250g sugar3 eggs125g butterEach costs:1kg flour 90p1kg sugar £1.206 eggs £1.15250g butter xShow your working.(0.25 x 0.9) + (0.25 x 1.2) + (0.5 x 1.15) + 0...

First, if k=0 then the equation has no real roots since in this case we would have 5=0 (this is a proof by contradiction).
A quadratic equation of the form ax^2+bx+c=0 has no real roots if the discri...

12x³ +18x²-8x-12

70% of 140 can be split up into 50% of 140 and 2 lots of 10% of 140. 50% of 140 is the same as 140 divided by 2, which equals 70. 10% of 140 is the same as 140 divided by 10, which gives 14. Therefore 70 ...

Method 1) Find two numbers which multiply to 12, and who’s sum is -7. ( This could be done by writing out the factors of 12, and seeing which add to -7.) From doing this we get -3 and -4, therefore our an...