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Find the turning point of the graph y = x2^ + 3x − 10

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 = x 2 + 3x - 10dy/dx = 2x + 3gradient = 2x + 3 = 02x = -3x = -1.5now...
EG
Answered by Estella G. • Maths tutor
5852 Views

How do you solve a quadratic equation? eg: x^2 + 2x - 8

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 factorizi...
AK
Answered by Ahad K. • Maths tutor
3201 Views

5^a = 1/25, 5^b = 25sqrt(5), 5^c = 1/sqrt(5). What is the value of a + b + c?

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. Can alternatively remember that (x t )...
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Answered by Connor H. • Maths tutor
3409 Views

Katie wants to buy 4 adult show tickets for £10 each and 2 child show tickets for £3 each. There is a 10% booking fee and 3% is then added for paying by credit card. Work out the total charge for Katie if she pays with a credit card.

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 = £50.60F...
RP
Answered by Riana P. • Maths tutor
2714 Views

Solve algebraically the simultaneous equations: (x^2)+(y^2) = 25 , y-3x = 13

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 equatio...
SB
Answered by Spondan B. • Maths tutor
2893 Views