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Solve the following quadratic equation.

x 2 +7x+10 = 0 factorise this into the form (x+a)(x+b)=0 by finding out what 2 numbers multiply to make 10 and add up to 7. the 2 numbers that fit this criteria are 5 and 2 so (x+5)(x+2)=0, if we expanded th...
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Answered by Amber G. • Maths tutor
3555 Views

Expand the brackets: (x + 5)(x - 3)?

An easy way to remember how to expand double brackets is using FOIL . FOIL stands for First , Outer , Inner , and Last . First indicates that we multiple the first two terms of each bracket (x * x = x 2 ). O...
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Answered by Daniel W. • Maths tutor
5185 Views

Calculate the interest on borrowing £40 for 3 years if the compound interest rate is 5% per year.

The method for finding compound interest is: Original Amount x Multiplier Time So, from the question we know that: Original Amount= 40, Time= 3 years, so we say 3 Next we need to work out the multiplier: The...
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Answered by Kathleen B. • Maths tutor
4132 Views

Given a material with dimensions 1.5 x 1.1 x 1.6 mm ^3 and a mass of 0.5kg. What is the density of this material? Give your answer in kg/m^3

First it’s important to check units, we notice that the dimensions are given in mm. Therefore in order to convert this to m^3 we need to multiply the volume in mm by (10^-3)^3 which gives us 2.64 x 10^-9.Nex...
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Answered by Davina V. • Maths tutor
2808 Views

If L1 is y = 3x + 15 and L2 is 3y + 20 = 9x show whether or not L1 and L2 are parallel.

Theory - Two lines on a graph will be parallel if their gradient is the same. The general equation of a line is y = mx + c where y and x are variables, m is the gradient and c is the y intercept. hence if th...
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Answered by Chris M. • Maths tutor
3181 Views