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3 years ago

John has a piece of string that is 634 inches long, and Kerry has a piece of string that is 712

Mathematics

2 answers:

nikitadnepr [17]3 years ago

5 0

<h3>Answer: 3/4</h3>

=========================================================

Explanation:

We'll use this formula

a & b/c = (a*c + b)/c

to convert from a mixed number to an improper fraction.

John's mixed number converts to

a & b/c = (a*c + b)/c

6 & 3/4 = (6*4 + 3)/4

6 & 3/4 = 27/4

Do the same for Kerry's string

a & b/c = (a*c + b)/c

7 & 1/2 = (7*2 + 1)/2

7 & 1/2 = 15/2

We'll subtract those results to find the difference between them.

15/2 - 27/4 = 30/4 - 27/4 = (30-27)/4 = 3/4 is the final answer

Kerry's string is 3/4 of an inch longer compared to John's string.

omeli [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Length of Kerry string = 7(½) = 15/2

Length of John string = 6(¾) = 27/4

15/2 - 27/4

30 - 27/4

3/4

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Consider the graph of the function f(x) = 25

trasher [3.6K]

Considering it's horizontal asymptote, the statement describes a key feature of function g(x) = 2f(x) is given by:

Horizontal asymptote at y = 0.

<h3>What are the horizontal asymptotes of a function?</h3>

They are the limits of the function as x goes to negative and positive infinity, as long as these values are not infinity.

Researching this problem on the internet, the functions are given as follows:

$f(x) = 2^x$ .

$g(x) = 2f(x) = 2(2)^x$

The limits are given as follows:

$\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 2(2)^x = \frac{2}{2^{\infty}} = 0$

$\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 2(2)^x = 2(2)^{\infty} = \infty$

Hence, the correct statement is:

Horizontal asymptote at y = 0.

More can be learned about horizontal asymptotes at brainly.com/question/16948935

#SPJ1

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