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Express x*2 + 10x - 3 in the form (x+p)*2 + q

Step 1 - half the "x" coefficient = +5 Therefore p = +5 and place in brackets (x+5) 2 Step 2 - square the value of p and subtract 5*2 = 25 (x+5) 2 - 25Step 3 - add the number with no x (x+5) 2 - 25...
CS
Answered by Chloe S. • Maths tutor
5057 Views

£X was invested for 5 years, earning compound interest of 2% per year. After 5 years the total value of the investment was £11,040.81. How do I calculate the value of the invested amount £X?

We know that to calculate the final value V of an investment of £ X after t years, earning an interest rate of r being compounded annually, we use the following Compound Interest formula: V = X * (1 + r ) t ...
VP
Answered by Vishal P. • Maths tutor
4391 Views

Simplify fully (y+3)^2

Firstly expand the brackets to make (y+3)(y+3)Next I find it easy to remember that you don't times anything together that's in the same bracket when expanding. So - y x y = y^2y x 3 = 3y3 x y = 3y3 x 3 = 9So...
LC
Answered by Laura C. • Maths tutor
6205 Views

How do I use product rule when differentiating?

Problems like this usually look something like: Find the differential of (x 2 e 2x ). The product rule is used when we have to differentiate two different functions multiplied by eachother, so we should alwa...
JK
Answered by Jasvir K. • Maths tutor
3846 Views

In the case of vectors, how do I find the shortest distance between a point and a line?

The key word in the question is 'shortest'. The shortest distance from a point to a line is always the perpendicular distance. If we calculate the appropriate angles and lengths/distances, we can use trigono...
SK
Answered by Saskia K. • Maths tutor
7031 Views