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How can you expand brackets? e.g: (x-4)(x+7)

The answer is of the form ax 2 +bx+c The a term is found by the product of the coefficients of the x in the brackets. e.g ( 2 x+7)( -4 x+6) would give -8 x 2 . However for this example, we will only use coef...
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Answered by Sam T. • Maths tutor
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The turning point on a quadratic function

often with functions you may be required to find the maximum or minimum point in a curve. This can be especially present in a quadratic function. These are functions that have an x raised to the power of two...
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Answered by Ankur G. • Maths tutor
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Solve the equation: (2x+3)/(x-4)-(2x-8)/(2x+1)=1

By solving this equation we are trying to find the value of x . First we must combine the two fractions into one by finding the common denominator. The least common denominator in this case is (x-4)(2x+1), i...
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Answered by Erin W. • Maths tutor
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I don't understand how functions work. How do I decide if something is a function?

There is a definition which a pairing between to sets has to satisfy in order to be a function. It is like a checklist, we can go over it and tick each box to see if something is a function. First rule is: i...
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Answered by Zsolt V. • Maths tutor
6358 Views

A car costs £300. The price is then reduced by 20%. However, the shop increases the new price by 15%. Fadhila says, "20 - 15 = 5, so the original price of the car has been reduced 5%". Is she right? What is the final price of the car?

Fadhila is wrong. To work out price increases/decreases we need to multiply the original price by a decimal number. A reduce by 20% means multiplying by 0.8: we need to take away 20% of the original number. ...
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Answered by Emma T. • Maths tutor
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