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Solve the simultaneous equation: y=x^2+2x-2 y=4x+6

You want to make the equations equal one another. If both equal y it can be written like this: x²+2x-2=4x+6Then simplify by putting the terms on one side and equaling 0: x²-2x-8Now p...

Answered by Rosie D. • Maths tutor

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Given that y is directly proportional to square root of x and that y = 20 when x = 49 find an expression to represent x and y.

y = k √x20 = k √49 20/7 = ktherefore y = 20/7 √x

Answered by Ann P. • Maths tutor

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Two ordinary fair dice are rolled. Work out the probability that both land on a value less than 4.

The probability of an event= Number of ways an event can occur/ Total number of possible outcomesBoth dices land on values less than 4. This means they both can be 1,2 or 3. Therefore, number of ways the ...

Answered by George S. • Maths tutor

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If x:y=7:4 and x + y = 88, work out the value of x – y.

Total of parts: 7+4=11therefore if we divide 88 in 11 “parts” we get each part as 8.hence if x corresponds to 7 parts then x=8X7=56 and if y corresponds to 4 “parts” y=4X8=32THEREFORE: x-y=56-32=24

Answered by Georgina H. • Maths tutor

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Find the points where f(x)=x^2-5x-14 meets the x-axis and find the turning point

Set x^2-5x-14=0. So (x-7)(x+2)=0So function meets x-axis at (-2,0) and (7,0).
To find turning point, differentiate function and set equal to 0.2x-5=0. So x=5/2. Substitute x=5/2 into f(x) to give y c...

Answered by Daanesh B. • Maths tutor

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