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Expand and simplify (x+4)(x-3)

We need to multiply out each bracket and it is best to do this systematically, multiplying each term in the left hand bracket by each term in the right hand bracket. (x+4)(x-3) = (X x X) + (X x -3) + (4 x X)...
EM
Answered by Eleanor M. • Maths tutor
33934 Views

There are 300 passengers on a plane, 7/20 of them are men, 30% are women, the rest are children. Work out the number of children.

300 x (7/20) = 300/20 x 7 = 15 x 7 = 105 = number of men on the plane. 300 x 0.3 = 90 (Or 300/10 x 3) = number of women on the plane. 105 + 90 = number of adults on the plane = 195. 300 - 195 = 105 = number ...
HT
Answered by Hannah T. • Maths tutor
5741 Views

Put the next fractions in an increasingly order: 1/2, 3/4, 2/3, 5/6

To solve the problem, we will have to find the maximum common denominator (mcd). We decompose the denominator of every fraction obtaining, 2=2; 3=3; 4=2 2 ; 6=2x3. Now, we take the common factors with the bi...
LA
Answered by Lucia A. • Maths tutor
8302 Views

Find the derivative of the next function using the implicit method: x^2 sin(x+y)-5 y e^x​​​​​​​=0

Using the implicit form derivative rule: y'=-F x ' / F y ' : y'=-(2 x sin(x+y)+x 2 cos(x+y)-5 y e x ) / (x 2 cos(x+y)-5 e x )
LA
Answered by Lucia A. • Maths tutor
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When performing differentiation in core 3, in what circumstances do I apply the chain, product and quotient rule?

You must apply the chain rule whenever you see a function contained within another function. For example, if you were to differentiate (sin x) 2 you would apply the chain rule as the sin function exists insi...
JS
Answered by James S. • Maths tutor
3783 Views