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Artemon [7]
3 years ago
5

50 POINTS

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0

Answer:

The answer is below

Step-by-step explanation:

The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds: A linear model with ordered pairs at 0, 60 and 2, 75 and 4, 75 and 6, 40 and 8, 20 and 10, 0 and 12, 0 and 14, 0. The x axis is labeled Time in seconds, and the y axis is labeled Height in feet. Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 16 seconds.

Answer:

Part A:

Between 0 and 2 seconds, the height of the balloon increases from 60 feet to 75 feet  at a rate of 7.5 ft/s

Part B:

Between 2 and 4 seconds, the height stays constant at 75 feet.

Part C:

Between 4 and 6 seconds, the height of the balloon decreases from 75 feet to 40 feet at a rate of -17.5 ft/s

Between 6 and 8 seconds, the height of the balloon decreases from 40 feet to 20 feet at a rate of -10 ft/s

Between 8 and 10 seconds, the height of the balloon decreases from 20 feet to 0 feet at a rate of -10 ft/s

Hence it fastest decreasing rate is -17.5 ft/s which is between 4 to 6 seconds.

Part D:

From 10 seconds, the balloon is at the ground (0 feet), it continues to remain at 0 feet even at 16 seconds.

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Answer:

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Step-by-step explanation:


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4 0
3 years ago
Which expression completes the factored form of this quadratic expression? x2 + 4x – 5
Advocard [28]
Find factors of -5 that, when added together, will give 4

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(x + 5)(x -1)

Using the FOIL method (First, Outside, Inside, Last), we can get the question again.

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x² - x + 5x - 5
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hope this helps
5 0
3 years ago
This is 10 points plz help ( ONLY ANSWER THIS IF YOU HAVE AN EXPLANATION AND IF YOU KNOW WHAT THE ANSWER IS)
Alenkinab [10]

Answer:

d = x + 90

Step-by-step explanation:

Total dollars to be paid by Mr. Sykes = Rent for the boat for 3 hours + cost of damage

= 90 + x

6 0
3 years ago
Read 2 more answers
Expand (- 3a - 5x) (- 2b - 4y).​
vekshin1

Answer:  −3a(−2b−4y).−5x(−2b−4y). to this  

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Step-by-step explanation: hope this helps :)

8 0
3 years ago
Read 2 more answers
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