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f(x) = 5x − 12. (i) Calculate f(4). (ii) Find f( x + 1). Give your answer in the form ax + b .

i) (5 x 4) -12 = 8 ii) 5(x + 1) - 12 5x + 5 -12 5x - 7

Answered by Santiago M. • Maths tutor

4804 Views

Differentiate y= 8x^2 +4x +5

dy/dx= (2 * 8)x^(2-1) +4 = 16x + 4

Answered by Juevaneeta J. • Maths tutor

3899 Views

Express (3 + 13x - 6x^2)/(2x-3) in the form Ax + B + C/(2x - 3)

The answer is -3x + 2 + 9/(2x-3). That is A = -3, B = 2 and C = 9.

I will use the whiteboard during my interview to explain the working.

Answered by Sam M. • Maths tutor

5234 Views

Christine has more money than David. If Christine gave David £30, then they would have the same amount. If David gave Christine £33, then Christine would have twice as much money as David. How much money does each person have?

We need to start by translating the sentences into algebraic equations. There are 2 unknowns, Christine’s money and David’s money. Let Christine’s money= x Let David’s money = y If Christine gave David £3...

Answered by Ben C. • Maths tutor

3147 Views

Solve the equation "3y + 5 = 11" to find the value of y.

Remember that both sides of the equation need to 'balance', so any changes that we make to the right hand side must also be made to the left hand side.

Let's start by getting rid of the '5' on the...

Answered by Roshni P. • Maths tutor

6048 Views