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the turning point of curve is when the gradient of the curve is 0. to find the gradient of the curve, we need to differentiate the curve.y = x² + 3x - 10dy/dx = 2x + 3gradient = 2x + 3 = 02x = ...

Well, when solving quadratic equations we have two options, either A: factorize the equation and solve or B: Use the '-b' formula. Option A is usually a lot quicker but does require you to practice factor...

Two ways to do it. Manually work them all out: 5^a = 1/25 means a = -2, 5^b=25sqrt(5) means b = 2.5, 5^c = 1/sqrt(5) means c = -0.5. So a + b + c = -2 + 2.5 + 0.5 = 0.
C...

Firstly, work out the cost of the tickets without any additional charges.(£10 x 4) + (£3 x 2) = £40 + £6 = £46Now, add on the 10% booking fee. 10 % of £46 = £46 x 0.10 = £4.60New cost = £46 + £4.60 = £50....

Step 1: First rearrange second equation for either x or y (in this example it is easier to make y the subject of the equation: y = 13+3xStep 2: Substitute the expression obtained for y into the first equa...