Search our library of Maths questions

Top answers

Maths

All levels

solve 3 cos (2y )- 5 cos( y)+ 2 =0 where 0<y<360 degrees

cos(2y)= (cos(y))^2 - (sin(y))^2 identitynow consider identity (cos(y))^2+(sin(y))^2=1by rearranging this to (cos(y))^2 - 1 = - (sin(y))^2 we can now substitute it into our first identity to obtaincos(2y)...

Answered by Leah S. • Maths tutor

3609 Views

Solve the Equation: 2ln(x)−ln (7x)=1

This is an equation laid out in terms of the natural logarithm, which essentially is the reverse function of e^x. From this equation we need to find a solution for x =? Since we know that this ...

Answered by Dhruv G. • Maths tutor

5892 Views

Fahima buys 2 packets of bread rolls costing £1.50 for each packet 1 bottle of ketchup costing £1.60 3 packets of sausages Fahima pays with a £10 note. She gets 30p change. Fahima works out that one packet of sausages costs £2.30 Is Fahima right?

Let's denote the price of sausages as S as it's the only unknown.Let's use simple algebra to solve this.To find the total price of all of the items she purchased ( i.e. the value), we multiply price by th...

Answered by Maria C. • Maths tutor

11853 Views

I don't understand how to expand and simplify brackets such as (x-3)(x+5)

In my opinion, the best way to expand and simplify brackets is to use the FOIL method which stands for the following:F - firstsO - outersI - innersL - lasts.This means that you multiply the first numbers ...

Answered by Sophie D. • Maths tutor

3711 Views

3x+18=14x+2

Firstly you need to re arrange the equation in order to get x's on one side and the numbers on the other side.If you subtract 2 from both sides of the equations, you end up with 3x+16= 14x.Now if you subt...

Answered by Jerry G. • Maths tutor

3484 Views