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Factorise and simplify the following equation: (2x^2 + 5x + 3) / (x + 1)

Firstly, you must factorise the quadratic equation on the numerator of the fraction. Observe that the x^2 has a coefficient of 2 and the term with no x terms is 3. 3 can only be factorised by 1 and 3. Also, ...
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Answered by Molly C. • Maths tutor
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The time taken for a wave to pass a point is 2.5 seconds. What is the frequency of the wave?

For this, we need to use the equation F = 1/T (where F = frequncy, and T = period). The period of this wave is the time taken for one whole wave to pass i.e. from one wave crest to the next wave crest. Here ...
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Answered by Fraser P. • Physics tutor
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Expand and simplify (2x+5)(x^2 + 3x -1)

The answer should be 2x 3 + 11x 2 +13x - 5 Remeber to multipy both brackets together, and collect like terms. (Watch out for the minus sign)
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Answered by Fraser P. • Maths tutor
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Explain two Christian beliefs about the ascension of Jesus. Refer to sacred writings or another source of Christian belief and teaching in your answer.

As described in Luke 24:53, the disciples are said to have returned to Jerusalem after the ascention 'with great joy'; thus Christians see the event as a celebration rather than a loss. Although the disciple...
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Give two ways in which christians believe the Holy Spirit is at work in the world

1: It allows the establishing of communication with God on a personal level in prayer 2: It can be seen to bring strengh to people in times of need
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