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steposvetlana [31]
3 years ago
7

Try It for Example 3: Is 3.14144144414444... a rational number? Explain your reasoning. *

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
5 0

it's irrational

A rational number can be put over a fraction, while this number continues forever

attashe74 [19]3 years ago
4 0

I will try to make this as simple as possible.

First off, we need to know what a rational number is: A rational number is any number that can be made by dividing 2 integers. For example:

1.5 would be a rational number because 1.5 = 3/2 (3 and 2 are both integers)

With that being said, let's begin.

First off, let's start with -0.3, let's ask ourselves, can we make this number by dividing 2 integers, the answer is yes, we can, by doing we have the equivalent of -0.3, so now we know it's a rational number.

As for the second one, it can't be a rational number because it can't be made by dividing to integers, so the answer is:

-0.3 is a rational number, but 3.14144144414444 is not.

Hope this helped! c:

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Answer:

Option 3) -6,-5/2

Step-by-step explanation:

we know that

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ax^{2} +bx+c=0

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in this problem we have

4x^{2} +34x+60=0  

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substitute in the formula

x=\frac{-34(+/-)\sqrt{34^{2}-4(4)(60)}} {2(4)}

x=\frac{-34(+/-)\sqrt{196}} {8}

x=\frac{-34(+/-)14} {8}

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3 years ago
Which of the following is the inverse of y=12^x
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An object dropped from a height of 600 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t)=600 - 16t^2
gulaghasi [49]

Answer:

t as a function of height h is  t = √600 - h/16

The time to reach a height of 50 feet is 5.86 minutes

Step-by-step explanation:

Function for height is h(t) = 600 - 16t²

where t = time lapsed in seconds after an object is dropped from height of 600 feet

t  as a function of height h

replacing the function with variable h

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Divide through by -16

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Take square root of both sides

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substituting h = 50 in the equation

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