Which of the following is an example of a rational number?

Mathematics

1 answer:

ivolga24 [154]3 years ago

6 0

<h3>Answer: Choice B</h3>

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Explanation:

Using your calculator, you should find that

sqrt(125) = 11.1803 approximately
sqrt(196) = 14 exactly
sqrt(207) = 14.387 approximately
sqrt(220) = 14.832 approximately

Each approximate result has its decimal digits go on forever without any pattern. So we cannot write those values as a fraction of two integers. The decimal expansion must have some kind of pattern that repeats forever, so we could consider it rational.

Only choice B results in a whole number. The value 14 is the same as 14/1, showing it can be written as a fraction of two integers. Therefore choice B is rational.

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How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

Harlamova29_29 [7]

The answer
f(x) = 0.7(6)x = f(x) = 0.7(6)^x, and g(x) = 0.7(6)–x= g(x) = 0.7(6)^-x=1/0.7(6)^x
so 
g(x) =1/0.7(6)^x=1 /f(x)

 the relationship between f and g are g(x) =1 /f(x) or g(x) . f(x) = 1

7 0

3 years ago

Read 2 more answers

Urgent! Will award brainliest... Factor the following polynomial: <img src="https://tex.z-dn.net/?f=3a%5E%7B2%7D-21a%2B3

umka2103 [35]

Answer:

$3 (a-2) (a-5)$

Step-by-step explanation:

The first step is to find the GCF. Here, it's 3.

$3(a^2-7a+10)$

Then, you factor the polynomial in the parenthesis.

To find the factors, you will need to find 2 numbers that add to -7, and multiply to 10. -2 and -5 add to -7 and multiply to 10. Now, replace -7a with the factors.

$a^2-2a-5a+10$