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trapecia [35]
3 years ago
15

Decide whether the following statement is true or false. If the degree of the numerator of a rational function equals the degree

of the​ denominator, then the rational function has a horizontal asymptote. Choose the correct answer below.
A. The statement is true because if the degree of the numerator of a rational function equals the degree of the​ denominator, then the rational function has a horizontal asymptote that is equal to the product of the leading coefficients.

B. The statement is true because if the degree of the numerator of a rational function equals the degree of the​ denominator, then the rational function has a horizontal asymptote that is equal to the ratio of the leading coefficients.

C. The statement is false because if the degree of the numerator of a rational function equals the degree of the​ denominator, then the rational function has no horizontal or oblique asymptotes.

D. The statement is false because if the degree of the numerator of a rational function equals the degree of the​ denominator, then the rational function has an oblique asymptote that is equal to the quotient found using polynomial division.
Mathematics
1 answer:
Alona [7]3 years ago
7 0

B. The statement is true because if the degree of the numerator of a rational function equals the degree of the​ denominator, then the rational function has a horizontal asymptote that is equal to the ratio of the leading coefficients.

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You collect 140 total pieces of candy trick or treating and 35 of them are m&amp;m's. What fraction of the candy is not m&amp;m'
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\frac{3}{4} of the candy is not m&m's.

Step-by-step explanation:

Given,

Total pieces of candy = 140

Number of m&m's = 35

Fraction = \frac{Number\ of\ m&m}{Total\ pieces\ of\ candy}

Fraction = \frac{35}{140}

Both 35 and 140 are multiples of 7, therefore,

Fraction of m&m's = \frac{5}{20} = \frac{1}{4}

As the number of m&m's fraction and not m&m's fraction will make a total of 1, therefore

fraction of m&m's + fraction of not m&m's = 1

fraction of not m&m's = 1 - fraction of m&m's

fraction of not m&m's = 1-\frac{1}{4}=\frac{4-1}{4}

fraction of not m&m's = \frac{3}{4}

\frac{3}{4} of the candy is not m&m's.

Keywords: fraction, subtraction

Learn more about fractions at:

  • brainly.com/question/8929610
  • brainly.com/question/8908016

#LearnwithBrainly

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