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Bumek [7]
3 years ago
15

Which of the following is written as a rational function?

Mathematics
2 answers:
Brrunno [24]3 years ago
6 0

We have to identify the rational function among the given functions.

Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.

1. Consider the first function G(x)= -2x, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

2. Consider the second function P(x)= 3x+4, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

3. Consider the third function Q(x)= x^2-8x+1, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

4. Consider the fourth function F(x)= \frac{x+2}{5x}, since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.

So, Option D is the correct answer.

marusya05 [52]3 years ago
5 0

Answer:


Step-by-step explanation:

F(x)=x-3/8x

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Answer:

120 home runs.

Step-by-step explanation:

Let x be the number of home runs after playing 1272 games.

We have been given that Derek Jeter, the short stop for the New York Yankees, a major league baseball team, played in 159 games in 2012 and hit 15 home runs.

Let us find the probability of hitting home runs in next game.

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{ Total number of possible outcomes}}

\text{Probability of hitting home run in next game}=\frac{15}{159}

To find the total number of home runs Derek will hit in his career, we will use relative probability, which is the ratio of the occurrence of a singular event and the total number of outcomes.

So we can set a proportion as:

\frac{x}{1272}=\frac{15}{159}

Let us multiply both sides of our equation by 1272.

\frac{x}{1272}*1272=\frac{15}{159}*1272

x=15*8  

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Therefore, Derek Jeter will hit approximately 120 home runs in his career.

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Mark bought a new video game priced at $49.99. A sales tax of 8% was added to his purchase. How much tax did Mark pay?
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The tax that Mark had to pay is calculated by multiplying the base price of the video game and the decimal equivalent of the tax percentage. That is,
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