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Solve x^2 + 8x + 12 = 0

x = -6 or -2

3410 Views

Jules buys a washing machine. 20% VAT is added to the price of the washing machine. Jules then has to pay a total of £600 What is the price of the washing machine with no VAT added?

In this question we will label the washing machine as x. In order to answer this question we need to understand that the final price of the washing machine (£600) is the price of the machine with...

Answered by Ophelia M. • Maths tutor

25300 Views

Find the derivative of f(x)=exp((tanx)^(1/2))

We use the chain rule. Let u(x)=exp(x), v(x)=x^1/2, w(x) = tan(x).
Then f(x) = u(v(w(x))). So by the chain rule, f'(x) = u'(v(w(x)))*(v(w(x)))'.
u'(x) = exp(x).
By the chain rule...

Answered by Luke D. • Maths tutor

4066 Views

If a train leaves for a 130 mile journey at 1.30pm, and travels at a constant speed of 50 miles per hour, at what time will it arrive?

First, calculate the time taken for the train to complete its journey:
Distance = 130, Speed = 50, Time = Distance/Speed = 130/50 = 2.6 hours.
Next, use this to calculate the time of arrival:

Answered by Luke D. • Maths tutor

5086 Views

Write 144 as a product of its prime factors

To do this, we draw a prime factor tree (whiteboard). The easiest way is to keep dividing by 2 (which is a prime number) until we get an odd number. 144/2 = 72 and 72/2 = 36 and 36/2 = 18 and 18/2 = 9 whi...

Answered by Ewan S. • Maths tutor

28339 Views