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Factroise x^2+9x-22 inro its simplest form

This is a basic question that many GCSE student struggle with, the key way to answer this question is to develop a strong technique, understand the process and stick to it!What two number when timed together...
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Answered by Ifrah K. • Maths tutor
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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 &lt; 0.Factorise the quadratic to give (x-1)(x+9) &lt; 0.Treating the expression as an equality, recall that if the product of ...
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Answered by Isaac S. • Maths tutor
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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 miles. (80p = £0....
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Answered by Euan M. • Maths tutor
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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 =9/4
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Answered by James T. • Maths tutor
3975 Views

Solve the simultaneous equations for x and y: 3x+2y = 14 and 5x-y = 6

3x + 2y = 14 -&gt; 15x - y = 6 -&gt; 2Answer: x = 2 and y =4Solution:multiply both sides of equation 2 by 2: 10x - 2y = 12add this to equation 1: 3x + 10x + 2y -2y = 14 +12simplify: 13x = 26divide by 13: x =...
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Answered by Megan F. • Maths tutor
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