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tiny-mole [99]
3 years ago
12

Is the set of integers closed under the operation

Mathematics
1 answer:
Kay [80]3 years ago
6 0

The answer "yes" applies to addition, subtraction, and multiplication. This is because we can take any two integers and add them to get some other integer

eg: 5+7 = 12

We can subtract two integers to get some integer

eg: 9-1 = 8

And we can multiply two integers to get an integer

eg: 4*6 = 24

--------------

The only one that isn't closed is division. We can divide some integers to get another integer

eg: 10/2 = 5

but there are cases where dividing two integers does not lead to another integer

eg: 8/5 = 1.6

The result 1.6 is not an integer since it has a decimal part

Also, the example your teacher provides has

1/6 = 0.167 approximately which is also not an integer

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tobin should have divided by three

Step-by-step explanation:

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Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet
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The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

<h3>How to model the function?</h3>

Given that:

x stands for time and y stands for height in feet

So, we have the following coordinate points

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A parabolic motion is represented as:

y =ax^2 + bx + c

At (5,0), we have:

25a + 5b + c = 0

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Substitute c= -25a - 5b

121a + 11b -25a - 5b = 0

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Take LCM

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[tex]b =256/31

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c= -25a - 5b

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y =ax^2 + bx + c

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y = -16/31x^2 + 256/31x - 880/31

Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

Read more about parabolic motion at:

brainly.com/question/1130127

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