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Prove that (4x–5)^2 – 5x(3x – 8) is positive for all values of x.

To begin we need to simplify the expression. First we multiply out (4x–5)^2 to get 16x2+40x+25 and then we multiply out 5x(3x – 8) to get 15x2-40x. This makes the whole expression 16...

HW
Answered by Hannah W. Maths tutor
9019 Views

Find the values of x where the curve y = 8 -4x-2x^2 crosses the x-axis.

A curve crosses the x-axis when y=0, if we put that into the equation above we get the quadratic equation 0=8-4x-2x2. The solutions to this equation are the values of x where y=0, which is the ...

HW
Answered by Hannah W. Maths tutor
6858 Views

Calculate the angle x in the following diagram. The area of the square is 16cm squared and the total area is 36.6cm squared.

This question was very difficult to explain through words; if it were to be used in a question paper, it would be presented as a diagram. I intend to use the whiteboard during the inteview to explain both...

DP
Answered by Daniel P. Maths tutor
6025 Views

Solve the simultaneous equations: 3x + 2y =4 4x + 5y =17

You are trying to find out the value of 'x' and the value of 'y'. 

This means that you need to be able to take away one equation from the other. 

3x + 2y = 4 - we are going to times this equ...

EW
Answered by Ellie W. Maths tutor
9532 Views

A stone, of mass m, falls vertically downwards under gravity through still water. At time t, the stone has speed v and it experiences a resistance force of magnitude lmv, where l is a constant.

A stone, of mass m, falls vertically downwards under gravity through still water. At time t, the stone has speed v and it experiences a resistance force of magnitude lmv, where l is a constant.  QUESTION:...

RH
Answered by Ronan H. Maths tutor
4897 Views

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