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salantis [7]
3 years ago
9

PLEASE HELP, WRONG/ABSURD ANSWERS GET REPORTED GOOD ANSWERS GET 25 POINTS AND BRAINLIEST!!

Mathematics
1 answer:
cestrela7 [59]3 years ago
6 0
 2. Find the derivative of f (x) = 5x + 9 at x = 2. 
 A) 9
 B) 5
 C) 0
 D) 10<span><span>
 </span><span>f (x) = 5x + 9
 </span><span>The first thing we should do in this case is to derive the function.
 </span><span>We have then:
 </span><span>f '(x) = 5
 </span><span>We now evaluate the function for the value of x = 2.
 </span><span>We have then:
</span><span> f '(2) = 5
 </span><span>Answer:
</span><span> the derivative of f (x) = 5x + 9 at x = 2 is:
 </span><span>B) 5

 </span><span>3. Find the derivative of f (x) = 8 divided by x at x = -1.

 </span><span>4
 </span><span>0
 </span><span>8
</span><span> -8

 </span><span>f (x) = 8 / x
 </span><span>The first thing we should do in this case is to derive the function.
 </span><span>We have then:
 </span><span>f '(x) = ((0 * x) - (1 * 8)) / (x ^ 2)
</span><span> Rewriting we have:
</span><span> f '(x) = -8 / (x ^ 2)
 </span><span>We now evaluate the function for the value of x = -1.
</span><span> We have then:
 </span><span>f '(- 1) = -8 / ((- 1) ^ 2)
 </span><span>f '(- 1) = -8
 </span><span>Answer:
 </span><span>The derivative of f (x) = 8 divided by x at x = -1 is:
 </span><span>-8

</span><span> 4. Find the derivative of f (x) = negative 11 divided by x at x = 9.
</span><span> A) 11 divided by 9
 </span><span>B) 81 divided by 11
 </span><span>C) 9 divided by 11
</span><span> D) 11 divided by 81

</span><span> f (x) = -11 / x
 </span><span>The first thing we should do in this case is to derive the function.
</span><span> We have then:
 </span><span>f '(x) = ((0 * x) - (1 * (- 11))) / (x ^ 2)
 </span><span>Rewriting we have:
</span><span> f '(x) = 11 / (x ^ 2)
 </span><span>We now evaluate the function for the value of x = 9.
 </span><span>We have then:
</span><span> f '(9) = 11 / ((9) ^ 2)
</span><span> f '(9) = 11/81
 </span><span>Answer:
  </span><span>the derivative of f (x) = negative 11 divided by x at x = 9 is:
 </span><span>D) 11 divided by 81

 </span><span>5. The position of an object at time is given by s (t) = 3 - 4t. </span><span>Find the instantaneous velocity at t = 8 by finding the derivative.
 </span><span>s (t) = 3 - 4t
 </span><span>For this case, the first thing we must do is derive the given expression.
 </span><span>We have then:
 </span><span>s' (t) = - 4
 </span><span>We evaluate now for t = 8
</span><span> s' (8) = - 4
 </span><span>Answer:
</span><span> the instantaneous velocity at t = 8 by finding the derivative is:
 </span><span>s' (8) = - 4</span></span>
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3 years ago
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OK.  All the work is in the attached drawing.

Please spend enough time with it to understand what was done and how, so that you can do the next problem like this one completely on your own.

Good luck !

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

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The initial, one-time $55 is a "deposit".  If she doesn't smash the bike or steal it, she gets the $55 back when she returns the bike.  

So if she eventually gets the $55 back, <u><em>is it a cost</em></u> ? ?  I don't know how to think about it.

She does need to <em>give</em> them the $55 at the beginning, just to take the bike out.  So she has to have it with her and give it to them temporarily, even though she'll  get it back, and she'll still have it when she returns home.

So here's the story:  

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To put it one more way:

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