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Solve the inequality x^2 < -8x + 9

Notice that the inequality may be rearranged to give the quadratic x^2 + 8x - 9 < 0.Factorise the quadratic to give (x-1)(x+9) < 0.Treating the expression as an equality, recall that if the product ...

IS
Answered by Isaac S. Maths tutor
3661 Views

For any given journey, ABC Taxis charge customers a base fare of £5 plus 80p per mile. XYZ Taxis charge a base fare of £3 plus £1.20 per mile. Find the number of miles, x, that must be traveled in order for ABC taxis to be the cheaper journey option.

This question can represented in algebraic form:
ABC Taxis = 0.8x + 5XYZ Taxis = 1.2x + 3
Noting that the units must be consistent throughout the question, so we have changed the pence into mile...

EM
Answered by Euan M. Maths tutor
2898 Views

Briefly describe the different steps of mitosis (6 marks)

There are 4 clear phases in mitosis that need to occur in a specific order so that a cell can successfully copy it's DNA and then divide. They are; prophase, metaphase, anaphase t...

BH
Answered by Ben H. Biology tutor
11844 Views

Sketch the graph of y=3sin(2x +pi/2)

Understand what each tranformation does.Sketch in progressive steps, by considering what happens to important points, intersections and max/min values. i.e First 3sin(x)Then pi/2 translationThen 2x transf...

JT
Answered by James T. Maths tutor
3140 Views

Determine (27/8)^3/2

Understanding we can split it into numerator and denominator and find individually.Understanding that ^1/3 is same as cube root and why, by considering that ^2 is squaring27^2/3 = 3^2 = 98^2/3 = 2^2 = 4 =...

JT
Answered by James T. Maths tutor
2902 Views

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