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Artist 52 [7]
3 years ago
5

What is the rate of change for y = -3x + 2 over the interval [-3, 4]?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0
\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
\stackrel{y}{f(x)}= -3x+2  \qquad 
\begin{cases}
x_1=-3\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(-3)}{4-(-3)}
\\\\\\
\cfrac{[-3(4)+2]~~-~~[-3(-3)+2]}{4+3}\implies \cfrac{-10~~-~~[11]}{7}
\\\\\\
\cfrac{-21}{7}\implies \cfrac{-3}{1}\implies -3
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Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs.
Vadim26 [7]

The highest possible number of inhabitants in that little town are 743.

<h3>What are inhabitant?</h3>

A person or animal that lives in a place is called as the inhabitant.

Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant.

Let say there are 519 people in the town. and make them stand in a line with increasing number of hairs on their heads. This way, there will be a person on the last, who has no hair.

There are more number of people than the hairs. From bald to 742 hairs, 743 is the limit.

Thus, the highest possible number of inhabitants in that little town are 743.

Learn more about inhabitant.

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