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Solve 3x – 5 < 16

Key points: Approach in exactly the same way as if there was an = instead of an <.When trying to solve the inequality, remember that whatever you do to one side of the inequality you must also do to th...

JM
Answered by John M. Maths tutor
3127 Views

Solve 2x^2+ 7x -8 = 0, giving your answer to 2 decimal places.

You can solve this equation using the quadratic formula: x = -b +/- root(b2- 4ac) 2aSo, a=2, b=7, c=-8:x = -7 +/- root(72- 4 x 2 x -8) 2 x 2...

MK
Answered by Michelle K. Maths tutor
7473 Views

Find the exact solution, in its simplest form, to the equation ln(4y + 7) = 3 + ln(2 – y) (Core Maths 3 Style Question)

First we subtract ln(2-y) from both sides to get "ln(4y+7) - ln(2-y) = 3". By applying the laws of logs from C2, we have "ln[(4y+7)/(2-y)] = 3". Therefore, if we put them as exponents ...

DB
Answered by Danielle B. Maths tutor
3993 Views

Prove algebraically that 
(2n + 1)^2 – (2n + 1) is an even number for all positive integer values of n. (3 marks)

We can show something is even if it is a multiple of two, as every multiple of two is even. It is useful to see certain tricks, and I will aim to teach you these in my tutorials, these tricks make problem...

BH
Answered by Ben H. Maths tutor
5446 Views

How do I convert the following, 0.089, into standard form?

Your final answer should consist of a number between 1 and 10 multiplied by 10 to the power of a particular number. This particular number we will call x. We begin by noting that 0.089 is required to beco...

BA
Answered by Beth A. Maths tutor
5614 Views

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