Jamilia has a weather station in her backyard. She uses a rain gauge to track the total rainfall during two storms.

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

3 0

Answer:

1) The graph is linear, because it has an upwards slope of 5, we can tell because 3*5 =15 and 6*5=30.

2)Real world meaning is the delta change. Hence in this case it's the increase in rain over time. More rain or raining harder as time progresses.

3)It is not linear because the second sample shows a slope of 7.5 meanwhile the third sample shows a slope of 6 which allows us to conclude that it is not linear.

4)The y intercept means the total rain that was present at the start of the recording which essentially means there was no rain when she started the experiment.

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Find the domain for the rational function f of x equals quantity x end quantity divided by quantity x minus 5 end quantity.

Gennadij [26K]

Answer:

All real numbers except for 5.

Step-by-step explanation:

$f(x)=\frac{x}{x-5}$

The domain of rational functions is determined by the denominator. The denominator cannot equal zero since if they do, the function will be undefined.

Thus, we need to find the zero(s) of the denominator to determine the domain.

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Therefore, the domain of the rational function is all real numbers except for 5.

In set builder notation, this is:

$\{x|x\in \mathbb{R}, x\neq 5\}$

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