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Work out the value of 2a^2 + b^3 when a = 5 and b = –3

To work out the values you need to sub in a and b into the equation, giving you: 2(5)2 + (-3)3 From this we use the rules of BODMAS to first complete the orders and obtain: 2*25 + (-...

KM
Answered by Kyle M. Maths tutor
5433 Views

Each day Chen buys pasta or a sandwich. Where Pasta costs £3.20 and Sandwich costs £2.75. For 45 days, the relative frequency of Chen buying a sandwich was one fifth. Altogether, how much did he pay?

Firstly work out how many days Chen bought a sandwich, which was one fifth of 45 days. So 45/5 = 9. We then multiply 9 by the cost of a sandwich, 92.75 = 24.75. The remaining days Chen must have bough...

KM
Answered by Kyle M. Maths tutor
3563 Views

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
9604 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
7603 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
6403 Views

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