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matrenka [14]
2 years ago
5

Starter

Mathematics
1 answer:
4vir4ik [10]2 years ago
4 0

Answer:

1) £2 = €2.32

£5 = €5.80

£50 = €58

2) The graph will be a straight line

3) (0, 0)

4) Label the independent variable, £ on the x-axis and dependent variable € on the y-axis

Step-by-step explanation:

1) The given conversion factors is £1 = €1.16

Therefore;

£2 = 2 × €1.16 = €2.32

£2 = €2.32

£5 = 5 × €1.16 = €5.80

£5 = €5.80

£50 = 50 × €1.16 = €58

£50 = €58

2) The shape of the plot of the directly proportional currencies graph will be a straight line

3) Given that the £ is directly proportional to the € and that the value of the € can be found directly by multiplying the amount in £ by 1.16, without the addition of a constant, the graph crosses the axes at the origin (0, 0)

4) The y-axes which is the dependent variable should be labelled €, while the x-axis which is the independent variable should be labelled £

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Step-by-step explanation:

\frac{ {r}^{2}  - 4r + 5}{r - 4}  -  \frac{ {r}^{2}  + 2r - 8}{r - 4}  \\  =  \frac{ ({r}^{2} - 4r + 5) - ( {r}^{2}  + 2r - 8) }{r + 4}  \\  =   \frac{ {r}^{2} -  {r}^{2}  - 4r - 2r + 5 - 8 }{r - 4}  \\  =   \frac{ - 6r - 3}{r - 4}

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