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Maths
GCSE

Solve the following quadratic inequality: 6x^2 -x -35 < 0

Begin by factorisation: (3x+7)(2x-5) < 0 Then determine which values of x give 0 -7/3 and 5/2Draw a sketch of the graph Y intercept = -35Then determine where less than 0 - under x axis. Reach -7/3<x...

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Answered by Luke Y. Maths tutor
3121 Views

Integrate x^2 + 1/ x^3 +3x +2 using limits of 1 and 0

By noticing the the numerator (x^2 + 1) is similar to the derivative of the denominator (x^3 +3x +2) you can integrate the function by using natural logarithms, to form the logarithm ln( x^3 +3x +2). Howe...

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Answered by Aaron T. Maths tutor
3270 Views

Complete the square for x^2 + x - 6.

First, let us separate the constant term and complete the square for (x^2 + 1x).
x^2 + x - 6 = (x^2 + x) - 6
Now, let us halve the coefficient of x.
0.5 of +1 = +0.5
Write (x )^2 with ...

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Answered by Larra T. Maths tutor
3049 Views

A farmer has a garden shaped into an isosceles triangle. Its side is 7m. He needs to enclose the perimeter, using copper wires, in order to avoid undesirable incidents. Each meter of copper wire cost 2£. How much does he need to pay to secure his garden?

Each side of the triangle is 7 meters, because it is an isosceles triangle. P= perimeterP = 7 +7 +7 P= 21 meters
Each meter of copper wire costs 2 £ so,
Total cost= Perimeter in meters * Cost ...

ID
Answered by Iosif D. Maths tutor
3195 Views

Julia wants to buy a new computer. 20% VAT is added to the price of the computer so that she now has to pay £300. What was the original price of the computer without VAT.

First the most important aspect to recognize is that the original price of the computer is 100%, the additional 20% of VAT makes the total value of the computer change to 120%. Therefore, the 120% = £300....

PS
Answered by Patricio S. Maths tutor
5081 Views

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