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How do you solve a quadratic inequality?

Treat it as a normal quadratic equation and solve by factorising: eg. x² - 5x - 24 > 0 x² - 5x - 24 = 0 (x + 3)(x - 8) = 0 x = -3 or x = 82) Sketch the curve, showing the po...

Answered by Abeda A. • Maths tutor

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Tim flies on a plane from London to Tokyo. The plane flies a distance of 9000 km. The flight time is 11 hours 15 minutes. Work out the average speed of the plane in kilometres per hour.

Speed = Distance/TimeSpeed = 9000/11.25Speed = 800 km/h

Answered by Nicholas E. • Maths tutor

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Factorise 2x^2 - 7x -4

2 x -4 = -8 -8 x 1 = -8 (2x^2-8x)+(x-4) 2x(x-4) + 1(x-4) (2x+1)(x-4)

Answered by Nicola M. • Maths tutor

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A right-angle triangle has a hypotenuse of 8cm and an angle of 30 degrees. What is the opposite's length?

sinx = o/h sinx x h =o sin30 x 8 = 4cm The opposite is 4cm

Answered by Nicola M. • Maths tutor

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Solve the simultaneous equations 5x+2y=13 and x-2y=5.

5x+2y=13 + x-2y = 5 6x =18Firstly you need to either add or subtract one equation from the other. The way to decide this is to either focus on the x's or the y's. The trick to solving these simult...

Answered by Amy J. • Maths tutor

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