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Fed [463]
4 years ago
5

Can someone answer this question please?

Mathematics
1 answer:
Keith_Richards [23]4 years ago
3 0

Part (a)

<h3>Answer:  0.2</h3>

----------------------------------

Work Shown

It costs $15 to rent a bike for 3 hours. We can write the following ratio below

15 dollars : 3 hours

To represent the connection of the two concepts (dollars connecting with hours)

We want the "15 dollars" to turn into "1 dollar". This is because the phrasing "per dollar" really means "per 1 dollar".

Divide both sides of the ratio by 15 to achieve this goal.

15 dollars : 3 hours

15/15 dollars : 3/15 hours

1 dollar : 1/5 hours

1 dollar : 0.2 hours

0.2 hours : 1 dollar

So we get 0.2 hours per dollar.

As a side note, 0.2 hours = 0.2*60 = 12 minutes.

========================================================

Part (b)

<h3>Answer:  3.38</h3>

----------------------------------

Work Shown

27 pages : 8 minutes

27/8 pages : 8/8 minutes

3.375 pages : 1 minute

3.38 pages : 1 minute

I'm dividing both parts of the original ratio by 8 to turn "8 minutes" into "1 minute" (due to the phrasing "per minute"). Don't forget to round to 2 decimal places.

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vagabundo [1.1K]
\bf f(x)=|x+2|\implies f(x)=\pm\sqrt{(x+2)^2}\implies f(x)=\left[ (x+2)^2 \right]^{\frac{1}{2}}&#10;\\\\\\&#10;\cfrac{dy}{dx}=\stackrel{chain~rule}{\cfrac{1}{2}[(x+2)^2]^{-\frac{1}{2}}\cdot 2(x+2)^1\cdot 1}\implies \cfrac{dy}{dx}=[(x+2)^2]^{-\frac{1}{2}}(x+2)&#10;\\\\\\&#10;\cfrac{dy}{dx}=\cfrac{x+2}{[(x+2)^2]^{\frac{1}{2}}}\implies \left. \cfrac{dy}{dx}=\cfrac{x+2}{\pm \sqrt{(x+2)^2}} \right|_{x=1}\implies \cfrac{3}{\pm 3}

check the picture below. the point 1,3 is on the increasing slope side, so will be 3/3 or 1.

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