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Tom starts with 50 balls. Amy starts with 28 balls. If Tom gives 22 balls to Amy, what percentage of balls does Tom have compared with Amy?

This question requires 2 logical steps. The first is to calculate how many balls Tom and Amy have after the transaction. The second is to use a formula to calculate the percentage of balls left . Reading ...

Answered by Dominic D. • Maths tutor
2693 Views

Show that x^2 +6x+ 11 can be written as (x+p)^2 +q

x2 +6x +11this is a quadratic so we try to factorise it. x2 +6x can be turned into (x+3)2 -9 and we plus the 11 from the beginning so the final answer should look like (x+...

Answered by Abdullahi M. • Maths tutor
4352 Views

Expand and simplify (x − 4)(2x + 3y)^2

Answer: 4x3 + 12x2y + 9xy2 - 16x2 - 48xy - 36y2

Answered by Daisy H. • Maths tutor
3389 Views

Solve the following simultaneous equations: y-3x+2=0, y^2-x-6x^2=0

(1) y-3x+2=0
(2) y2-x-6x2=0
Using (1): y=3x-2
Sub y value into (2): (3x-2)2-x-6x2=0
Expand the brackets: 9x2-13x+4-x-6x

Answered by Phoebe A. • Maths tutor
7255 Views

Prove that cos(4x) = 8(cos^4(x))-8(cos^2(x)) + 1

cos(4x) = cos(2(2x)) = 2(cos^2(2x)) - 1 = 2 (cos^2(x) - 1)^2 - 1 = 8(cos^4(x)) - 8(cos^2(x)) + 1

Answered by Harry T. • Maths tutor
5283 Views

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