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Maths
GCSE

How do you factorise a quadratic? Something like x^2 + 4x + 3

When factorising a quadratic the idea is to separate it into two brackets, so first, I usually write out the empty brackets like this; (x___)(x___) You then need to think of numbers that you can put in th...

JA
Answered by Jordan A. Maths tutor
3244 Views

The functions f and g are defined on R , the set of real numbers by f(x) = x^2 - 5x +2, and g(x) = 1 - x. Find h(x) = f(g(x)), and j(x) = g(f(x)).

Part 1: Step 1: Substitute in (1-x) for x in the equation f(x) = x^2 -5x +2 Step 2: Break the brackets Step 3: Collect like terms to simplify Part2: Step 1: Substitute in (x^2 -5x +2) for x in the equatio...

DH
Answered by Daniel H. Maths tutor
9687 Views

3 shops sell TVs and all 3 are having sales. Here are the three original prices of the TVs and their discounts: X12: £150 (25%), Teli-vise: £235 (1/2 off), Xpert: £60 (with a year of weekly £8 payments). Which TV is the cheapest once discounted.

X12 = £150 x (1-0.25) = £112.50 Teli-vise: £235 / 2 = £117.50 Xpert: £60 + (12 x £8) = £156 Therefore the X12 is the cheapest television after the discount has been applied.

GC
Answered by George C. Maths tutor
4422 Views

Adam can pay for his gym membership in one go at £180 or in monthly sums of £20. Work out the percentage increase of paying monthly to 1 decimal place.

We need to start by working out the price Adam will pay for the entire year if he chooses the monthly option. We do this by multiplying £20 x 12 months = £240. Next we need to find the difference (increas...

TN
Answered by Timothy N. Maths tutor
3700 Views

Solve the simultaneous equations: 3x+2y=4 and 2x+y=3

When solving simultaneous equations there are several options, the two most common methods being substitution and elimination. For this example I shall use elimination. In order to do so, either x or y mu...

CG
Answered by Catherine G. Maths tutor
11676 Views

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