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Varvara68 [4.7K]
3 years ago
8

Raul opened a savings account with $3,500 . Each week , x , raul pays the dog sitter $25 from his saving account. Write a functi

on, f(x) , that is equal to the amount of money in the account after Raul pays the dog sitter each week .
​
Mathematics
1 answer:
BARSIC [14]3 years ago
5 0

Answer:

f(x) = -25d + 3,500

Step-by-step explanation:

Raul opened a savings account with $3,500.

Each week, Dale pays the dog sitter $25 from his saving account.

Let d be the number of weeks and f(x) be the function representing the amount of money in the account after Raul pays the dog sitter d weeks.

The amount of money in the Raul's account is decreasing each week by $25, then the slope of the linear function is

Initially, at week d=0, Raul's account has $3,500, so b=3,500.

Write the function's expression in the form

f(x) = md + b

Hence,

f(x) = -25d + 3,500

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What is the length of the segment connecting the points A(1,3) and B(6,5)?
Natalija [7]

Answer:

The answer is

<h2>\sqrt{29}  \:  \:  \: or \:  \:  \:5.38 \:  \:  \: units</h2>

Step-by-step explanation:

The length of the segment connecting two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(1,3) and B(6,5)

The length is

|AB|  =  \sqrt{ ({1 - 6})^{2} +  ({3 - 5})^{2}  }  \\  =  \sqrt{ ({ - 5})^{2}  + ( { - 2})^{2} }  \\  =  \sqrt{25 + 4}  \\  =  \sqrt{29}

We have the final answer as

\sqrt{29}  \:  \:  \: or \:  \:  \:5.38 \:  \:  \: units

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