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The average age of a group of 6 people is 21. One more person joins the group and the average is now 25. How old is the new member of the group?

To work out averages we add up all of the ages and divide by the number of people in the group. So that means in the first group, before the new person joined in, all the ages added up and divided by 6 equal...
AK
Answered by Alok K. • Maths tutor
32579 Views

Differentiate f(x) = 3x^2+5x+3

Remember the rules for differentiation? We take each term which looks like ax n where a and n are just numbers and we turn it into: (an)x n-1 So for this example, we go term by term and get: f'(x) = 6x 2 + 5...
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Answered by Alok K. • Maths tutor
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The quadratic equation 2x^2-8x+1 = 0 has roots a and b. Find the value of a + b and ab

There is no need to solve the quadratic equation here. Use the formulae for the sum and product of roots where: a+b = -b/a and ab = c/a Therefore in this instance: a+b = -(-8)/2 = 4 and ab = 1/2
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Answered by Alok K. • Maths tutor
9549 Views

To what extent is the national minimum wage beneficial to society?

Always begin answering questions by providing a definition. This is key in economics. Therefore, start by explaining that the national min. wage is the governments guarentee of a minimum wage per hour that i...
CS
Answered by Connor S. • Economics tutor
10104 Views

How to translate complex Latin sentences?

In the GCSE Latin language papers you will inevitably come across some sentences that require a bit more attention and care to render an appropriate translation. Although these sentences may appear intimidat...
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Answered by Felix O. • Latin tutor
20594 Views