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2 years ago

Which decimal is less than 2.5?

Mathematics

1 answer:

7nadin3 [17]2 years ago

6 0

1 is D
2 is A
3. is B
4. is D
5. is C

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Complete parts a through c for the given function.

victus00 [196]

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

$x=0,-5,3$

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

$f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\$

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

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

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2 years ago

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Wilson did a survey to find the average shoe size of the students in his class. He asked the following question: What is the sho

nasty-shy [4]

Wilson's question is not a statistical question because the students my not a have tall person in their class

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2 years ago

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A used car dealer sells SUVs and cars. Of all the vehicles, 85% are cars. Of all the vehicles, 32% are red cars. What is the pro

oksian1 [2.3K]

Answer:

37.6%

Step-by-step explanation:

P(A|B) = P(A and B) / P(B)

P(red | car) = P(red and car) / P(car)

P(red | car) = 0.32 / 0.85

P(red | car) = 0.376

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2 years ago

Steve saw 313 birds during a bird-watching trip to Yellowstone National park. He observes 15 more trumpeter swans than sandhill

Bogdan [553]

Answer:

15 bbb

Step-by-step explanation:

you add them to 8

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2 years ago

6x+8=x-2 what is the answer to this

rodikova [14]

Answer:

x= -2

Step-by-step explanation:

6x+8=x-2

6x-x= -2-8

5x= -10

x= -10/5

x= -2

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2 years ago