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Fully simplify the expression: 4 / (sqrt(8) + 4)

Notice that the square root of 8 can be simplified: 4 / (sqrt(4) * sqrt(2) + 4) = 4 / (2 * sqrt(2) + 4) Divide top and bottom of the fraction by two: 2 / (sqrt(2) + 2) Rationalise the denominator: (2 / (sqrt...
OM
Answered by Oliver M. • Maths tutor
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Given that y=(4x+1)^3sin 2x , find dy/dx .

So this function is the product of two functions of x, so we use the product rule to differentiate it. The rule states if y=uv, dy/dx=(du/dx)v+(dv/dx)u. In this function we assign u=(4x+1) 3 and v=sin2x. Whe...
TF
Answered by Tom F. • Maths tutor
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c) Sharon is organising an event. The tickets cost 12 pounds each. Sharon paid 200 pounds for the cost of the event. How many tickets will Sharon have to sell to make a profit? (2 marks)

Divide the cost of the event by the cost of the tickets to find how many tickets are required to break even 200/12 = 16.67 17 tickets would need to be sold to make any profit.
CP
Answered by Claire P. • Maths tutor
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a) Solve 6x + 13 =2x +5 (2 marks) b) Expand and simplify (q + 7)(q - 3) (2 Marks)

a) 6x+8=2x, 8=-4x, x=-2 b) q 2 + 7q -3q - 21, q 2 + 4q - 21
CP
Answered by Claire P. • Maths tutor
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How do I sketch a quadratic function on graph paper?

First you need to draw a set of axis and choose a sensible scale, This is detrmined by parts of the equation such as the x and y intercept. Then what we need to do is to make a table of values. We can do X f...
JB
Answered by Jacob B. • Maths tutor
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