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Simplify 5p + 2q – 3p – 3q

Firstly, look at the number in front of the letter 'p'. This is 5p and -3p. By ignoring the 'p', as they both have it, do 5-3 which is 2 and so that part of the answer will be 2p. Then look at the letter 'q'...
RA
Answered by Radhika A. • Maths tutor
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Matthew gets £100 for his 16th birthday and chooses to invest the money into a bank with a 2% annual interest rate. By which birthday will Matthew have more than £150 in his account?

This a geometric sequence with first term 'a' as 100 and common ratio 'r' of 1.02. 100 x 1.02 n > 150 1.02 n > 150/100 =1.02 n > 1.5 log 10 (1.02 n ) > log 10 (1.5) Using power rule, n[log 10 (1....
Answered by • Maths tutor
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What is the length of a if a triangle has lengths of b=6.4cm and c=5.6cm with an angle A=107.9 degrees?

We are going to have to use the cosine rule for this type of question. The cosine rule is a2=b2+c2 - 2bcCosATherefore a2= (6.4 6.4) + (5.6 5.6) - (2 6.4 5.6)*Cos107.9 If we plug this into our calculator we w...
MK
Answered by Maria K. • Maths tutor
3507 Views

A car is travelling with a velocity of "0.5t^2+t+2" m/s at t=0 (where t is in seconds), find the acceleration of the car at a) t=0 b)t=2

Acceleration can be described as the ' rate of change of velocity ' as it is simply how quickly the car is increasing/decreasing in velocity. Therefore as the velocity is described as an expression of t - ti...
DE
Answered by Dominic E. • Maths tutor
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simply fully (2x^2 -3)^2 - (2x^2 + 2)^2

= (2x^2-3)(2x^2-3) -{(2x^2+2)(2x^2+2)}= 4x^4-6x^2-6x^2+9 -(4x^4+4x^2+4x^2+4)= 4x^4-12x^2+9-4x^4-8x^2-4= -20x^2+5= -5(4x^2-1) or 5(-4x^2+1)
MS
Answered by morgan s. • Maths tutor
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