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Factorise x^2 + 8x + 12 (2017 non-calculator paper)

This question requires you to work through methodically in stages. We want two numbers, a and b, which fit into brackets of the form: (x + a)(x + b). By doing this, we have simplified the expression through ...
EM
Answered by Ella M. • Maths tutor
4558 Views

Name and describe a method of protecting (a) an invention and (b) a new product that is similar in function to an existing design but differs in shape.

Patent - Gives exclusive right to make, use or sell a new invention for a set period of 20 years. It allows the designer to take legal action, but it must be shared in detail in the public domain. It must me...
SM
2751 Views

Solve the simultaneous equations x + y = 3 and x^2 + y^2 = 5

Find an expression for y y = 3 - x sub this into the second equation x^2 + (3 - x)^2 = 5 then expand the brackets x^2 + x^2 - 6x + 9 = 5 simplify 2(x^2 - 3x + 2) = 0 factorise 2(x - 2)(x - 1) = 0 so x = 2, 1...
KW
Answered by Kate W. • Maths tutor
16700 Views

y = 2x^3 + 15x^2 + 24x + 10 Find the stationary points on this curve and determine their nature

First differentiate the function to obtain dy/dx = 6x^2 + 30x + 24 Then set this equal to 0 and solve to find the x values of the stationary points 6x^2 + 30x + 24 = 0 6(x^2 + 5x + 4) = 0 6(x +1)(x+4) = 0 th...
KW
Answered by Kate W. • Maths tutor
10648 Views

How do I know when to use the ‘imparfait’ (imperfect) and ‘passé composé’ tenses?

Be assured that this question makes all French learners stop and think sometimes! So I will do my best to explain it in a way that helps me remember when to use which tense. Both of these tenses are used to ...
SF
Answered by Sarah F. • French tutor
3648 Views