Top answers


complete the square of x^2 + 2x - 6

There is always a systematic approach to answering questions that require you to complete the square. Before you start answering the question make sure the coefficient of x^2 is 1 . For this particular examp...
VG
Answered by Viroshan G. Maths tutor
4838 Views

Describe the set of transformations that will transformthe curve y=x^ to the curve y=x^2 + 4x - 1

First complete the square on the curve in the answer to obtain y=(x+2) 2 - 5 Now if you were to call your original equation y=f(x) you could see that the new equation is simply y=f(x+2) - 5This is now just a...
SD
Answered by Shavon D. Maths tutor
3578 Views

Differentiate y=(x^2 + 2x)cos(3x)

Here we need to use the product rule in order to differentiate as we have two functions involved that are being multiplied together. Therefore we use the formula:dy/dx = u dv/dx + v du/dxFirst let u=(x^2 + 2...
KB
Answered by Katie B. Maths tutor
4116 Views

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 the...
DD
Answered by Dominic D. Maths tutor
3721 Views

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

x 2 +6x +11this is a quadratic so we try to factorise it. x 2 +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+3) 2 +2 and thus p=3 and q=2.
AM
Answered by Abdullahi M. Maths tutor
5617 Views