Answer:
n = 2
Step-by-step explanation:
2n - 8 = -2 (-3n + 12) + 8
2n - 8 = -(-6n + 24) + 8
2n - 8 = 6n - 24 + 8
2n - 8 = 6n - 16
-4n = -8
Divide each side by 4
n = 2
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Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip. How much did they get altogether?


Let Pip get be x and fiona get be x+35
Ratio = 6:1





Write the first few terms of the sequence.
f₁ = 6
f₂ = f₁ + 5 = 11
f₃ = f₂ + 5 = 16
f₄ = f₃ + 5 = 21
and so on
The sequence is
6, 11, 16, 21, ...,
This is an arithmetic sequence with a common difference of 5.
In function notation, the sequence is

This represents the equation of a straight line with n as the independent variable and f as the dependent variable.
The slope is 5.
A graph of the line is shown below.
Answer:
The sequence is

The slope is 5.
Answer:
A model is an estimate of a data set.
A useful model can be used to make predictions.
Step-by-step explanation:
There are various models used in mathematics which are used to predict variables. The regression model is used to predict the relation between two variables. There are various other models which help to predict the future events and outcome of these events.