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Work out the integer values that satisfy: x^2−7 x+ 11<0

It's easier if we first visualise the function on a graph, then we can see in which regions it is negative. From there we can see which integer values lie in this region. A positive quadratic function has...

Answered by Jamie P. • Maths tutor

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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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