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AURORKA [14]
3 years ago
15

Find the inflection point of the function of f(x) = x³ -6x² +12x

Mathematics
1 answer:
Wewaii [24]3 years ago
5 0

Points of inflections are zeroes of the second derivative. We have:

f(x)=x^3-6x^2+12x\implies f'(x)=3x^2-12x\implies f''(x)=6x-12

So, the second derivative equals zero if and only if

f''(x)=0\iff 6x-12=0 \iff 6x=12 \iff x=2

So, this is the only point of inflection of this function.

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Answer:

19

Step-by-step explanation:

The boots are the value of 10, since 3 equal 30. The man is the value of 5 since there are two men (10) and one boot (also 10) which made 20. The ribbon is the value of 4 since there is one man (5) and 2 ribbons (8 ) which made 13. add 10, 5 and 4 and you get 19.

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3 years ago
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To put a narrow border around a square photo, Alicia has 32 inches of trim. The area of the photo is 60 square inches. Will she
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Answer: Yes, she will have enough trim for all four sides of the square, because the perimeter of the square photo (30.98 inches) is less than  32 inches of trim she has.

Step-by-step explanation:

The formula for calculate the area of a square is:

A=s^2

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The formula for calculate the perimeter of a square is:

P=4s

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We know that that the area of the photo is 60 square inches, therefore, we can solve for "s" from the formula  A=s^2 and find its value:

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Substituting the value of "s" into the formula P=4s, we get that the perimeter of the photo is:

P=4(2\sqrt{15}in)=30.98in

Therefore, since Alicia has 32 inches of trim and 30.98in, we can conclude that she will have enough trim for all four sides of the square.

8 0
3 years ago
(69 POINTS!!!)
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Hope this helps

3 0
3 years ago
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=>500 paise = 5 rs

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hope it helps :)

plz mark as brainliest

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3 years ago
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