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3 years ago

7

Clyde took a taxi 1/4 of the distance to bonnie’s house and a bus for 1/3 of the distance to her house. Finally, he walked the r

emaining 5 miles to her house. How many miles did clyde travel in total?

1 answer:

castortr0y [4]3 years ago

8 0

The trip was a total of 12 miles

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LenKa [72]

The formula that explain the arithmetic sequence is $a_{n}=\frac{3}{7}n-\frac{9}{7}$

Step-by-step explanation:

The formula of the nth term in an arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

a is the first term
d is the common difference between the consecutive terms

∵ $\frac{-6}{7}$ , $\frac{-3}{7}$ , 0 , $\frac{3}{7}$ are some terms of an arithmetic sequence

∵ The difference between two consecutive terms = $\frac{-3}{7}$ - $\frac{-6}{7}$

∴ The difference between two consecutive terms = $\frac{-3}{7}$ + $\frac{6}{7}$ = $\frac{3}{7}$

∴ The common difference = $\frac{3}{7}$

∴ d = $\frac{3}{7}$

∵ The first term is $\frac{-6}{7}$

∴ a = $\frac{-6}{7}$

- Substitute a and d in the formula above

∴ $a_{n}=\frac{-6}{7}+(n-1)\frac{3}{7}$

- Simplify the right hand side

∴ $a_{n}=\frac{-6}{7}+\frac{3}{7}n-\frac{3}{7}$

- Add like terms

∴ $a_{n}=\frac{3}{7}n-\frac{9}{7}$

The formula that explain the arithmetic sequence is $a_{n}=\frac{3}{7}n-\frac{9}{7}$

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

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Westkost [7]

Answer:

D. x = 0; y = -6

Step-by-step explanation:

There is a vertical asymptote at the value of x that makes the denominator zero. That value is x=0. This is sufficient to choose the correct answer.

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vertical asymptote: x = 0; horizontal asymptote: y = -6

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