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olganol [36]
3 years ago
5

Which of the following statements is not true?

Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0
In order for us to know which statements are true, we need to go over the choices.

A. True
0.6 = 3/5
0.6 = 3/5
60 / 100 = 3 / 5

B. True
0.125 = 1/8
0.125 = 125/1000 = 1/8

C. FALSE.
2.015 = 2 15/1000 = 2 3/200

The statement that is false is Choice <span>C. 2.015 = 2 1/100</span>
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Complete parts a through c for the given function.
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Answer:

a. The critcal points are at

x=0,-5,3

b. Then, x = -5   is a maximum and x=3 is a minimum

c. The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

Step-by-step explanation:

(a)

Remember that you need to find the points where

f'(x)=0

Therefore you have to solve this equation.

20x^4  + 40x^3 - 300x^2 = 0

From that equation you can factor out    20x^2  and you would get

20x^2 (  x^2  +2x - 15)  = 0

And from that you would have   20x^2 = 0  , so x = 0.

And you would also have  x^2 +2x-15 = 0.

You can factor that equation as    x^2 +2x -15 = (x+5)(x-3) = 0

Therefore   x=-5 ,   x=3.

So the critcal points are at

x=0,-5,3

b.  

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

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Then, x = -5   is a maximum and x=3 is a minimum

c.

The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

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