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Ilia_Sergeevich [38]
3 years ago
11

Determine all critical points for the following function. f(x)=x2−14x+1

Mathematics
1 answer:
melomori [17]3 years ago
4 0

9514 1404 393

Answer:

  (x, y) = (7, -48)

Step-by-step explanation:

A critical point is where the slope is zero or undefined. A polynomial function will never have any points where the slope is undefined.

The slope is zero were f'(x) = 0.

  f'(x) = 2x -14

  0 = 2x -14

  0 = x -7

  7 = x

  f(7) = 49 -98 +1 = -48

The critical point is (7, -48).

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A science museum makes gift bags for students using 168 magnets, 48 robot figurines, and 24 packs of freeze-dried ice cream. How
skelet666 [1.2K]

Answer:

  • 7 magnets
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Step-by-step explanation:

The greatest common factor of 24, 48, and 168 is 24, so 24 gift bags can be made. Each will have 1/24 of the number of gift items of each type that are available.

In each bag are ...

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_____

One way to find the greatest common factor (GCF) is to consider whether the smallest number divides all the numbers. If so (as here), then that is the GCF. If not, then consider the smallest difference between any pair of numbers, to see if it divides all of the numbers. If not, then test the smallest positive remainder from any of those divisions. Repeat until you have found a common divisor (which may be 1).

5 0
3 years ago
Given that P = x + y . Find P when: x = 20 and y = − 24 P = ?
mr_godi [17]

Answer:

P = -4

Step-by-step explanation:

Assuming that x = 20 and y = 24, you have to plug in these numbers for x and y to get to this equation P = 20 - 24.  You should get -4 when you subtract 24 from 20 giving you a negative answer.

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