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harkovskaia [24]
2 years ago
8

Explain what the slope of each line below represents. Then find the slope and give its units

Mathematics
1 answer:
fgiga [73]2 years ago
7 0

Answer:

The slope represents the rate of change of water volume stored in a storage tank.

The slope here is -900 in units of gallons per month. (gal/mos)

Step-by-step explanation:

The slope is rise over run, going from left to right.

Looking at the difference in time then, it is a period of ten months, and the volume difference is -9000 gallons.

The slope then is -9000 gallons divided by 10 months, which is -900 gallons per month

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\text{Put the value of}\ x\ \text{to}\ AC\ \text{and}\ BC:\\\\AC=2(5)+12=10+12=22\\\\BC=7(5)-2=35-2=33\\\\AC:BC=22:33=\dfrac{22}{33}=\dfrac{22:11}{33:11}=\dfrac{2}{3}=2:3

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Question
mixer [17]

The intervals are given as follows:

  • In range notation: [-282, 20,320].
  • In set-builder notation: {x|x ∈ ℝ, -282 <= x <= 20,320}

<h3>What is the range of elements notation for interval?</h3>

The range of elements notation for interval is given by:

[a,b].

In which:

  • a is the smallest value.
  • b is the greatest value.

In this problem these values are given by:

a = -282, b = 20,320.

Hence the interval in range notation is given by:

[-282, 20,320].

<h3>How to write the interval in set-builder notation?</h3>

The same interval can be written as follows, using set-builder notation?

{x|x ∈ ℝ, a <= x <= b}

Hence, for the situation described in this problem, the set-builder notation for the values is:

{x|x ∈ ℝ, -282 <= x <= 20,320}

More can be learned about notation of intervals at brainly.com/question/27896097

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