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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 of ...
DB
Answered by Danielle B. • Maths tutor
4586 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 problems e...
BH
Answered by Ben H. • Maths tutor
7136 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 become ...
BA
Answered by Beth A. • Maths tutor
7215 Views

In the isosceles triangle ABC, AB=AC and angle B=(3x +32)degrees and angle C=(87-2X)degrees

First of all i would get the student to draw a diagram with the labelled sides and angles. Then i would test their knowledge of shapes and angles by asking them what the angles in a triangle add up to. Once ...
CB
Answered by Catherine B. • Maths tutor
12059 Views

In an office there are twice as many females as males. 1/4 of females wear glasses. 3/8 of males wear glasses. 84 people in the office wear glasses. What is the total number of people in the office?

Let's figure out what information we have and let's translate it into mathematical terms. Let f = number of females in the office m =number of males in the office "Twice as many females than males"...
TG
Answered by Thomas G. • Maths tutor
9884 Views