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earnstyle [38]
3 years ago
7

What is the maximum number of relative extrema contained in the graph of this function f(x)=3x^3-x^2+4x-2

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
5 0
The maximum number of turning points in a cubic function is 2.

In this case,

f(x)=3x^3-x^2+4x-2\implies f'(x)=9x^2-2x+4

The discriminant is (-2)^2-4(9)(4)=-140, which means the derivative has no real roots. This means there are no critical points and thus no turning points/relative extrema.
sergeinik [125]3 years ago
5 0

Answer:

the answer is 2 (apex)

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Semenov [28]

Answer:

The answers are \frac{2}{5}, \frac{1}{4}, \frac{1}{10}, \frac{5}{2}, \frac{5}{8}, \frac{4}{1}, \frac{8}{5}, and \frac{10}{1}.

Step-by-step explanation:

Proportions are fractions that can be made by using the given numbers, which in this case are 2, 5, 8, and 20. Let's pair each one with the other three and then simplify if possible.

First, let's begin with 2:

\frac{2}{5} = \frac{2}{5}

\frac{2}{8} = \frac{1}{4}

\frac{2}{20} = \frac{1}{10}

Then, let's do 5:

\frac{5}{2} = \frac{5}{2}

\frac{5}{8} = \frac{5}{8}

\frac{5}{20} = \frac{1}{4}

Note that we already have \frac{1}{4}, so we do not need to include an additional one.

Now, let us do 8:

\frac{8}{2} = \frac{4}{1}

\frac{8}{5} = \frac{8}{5}

\frac{8}{20} = \frac{2}{5}

See how we already have \frac{2}{5}, so we won't have to include that as well.

Finally, let's do 20:

\frac{20}{2} = \frac{10}{1}

\frac{20}{5} = \frac{4}{1}

\frac{20}{8} = \frac{5}{2}

Now see that we already have both \frac{4}{1} and \frac{5}{2}, so we won't have to include both of them, as they are both extras.

Hence, the answers are \frac{2}{5}, \frac{1}{4}, \frac{1}{10}, \frac{5}{2}, \frac{5}{8}, \frac{4}{1}, \frac{8}{5}, and \frac{10}{1}.

<h2><u><em>PLEASE MARK AS BRAINLIEST!!!!!</em></u></h2>
8 0
3 years ago
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An 8-foot roll of wrapping paper costs $12.48. What is the price per inch?
Kisachek [45]

The price of this wrapping paper per inch is equal to $1,198.08.

<u>Given the following data:</u>

  • Cost of wrapping paper = $12.48.
  • Length of wrapping paper = 8 foot.

To determine the price of this wrapping paper per inch:

<h3>How to solve the problem.</h3>

In this exercise, you're required to solve for the cost of an 8-foot roll of wrapping paper that costs $12.48. Thus, we would convert the length of this wrapping paper in foot to inch and then multiply by $12.48.

<u>Conversion:</u>

1 foot = 12 inch

8 foot = X inch

Cross-multiplying, we have:

X = 8 \times 12

X = 96 inch

For price per inch:

Price = 12.48 \times 96

Price = $1,198.08

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2 years ago
Can you think of three examples of real world parallel and/or perpendicular lines? Explain why they are important in the real-wo
Naddika [18.5K]

Answer: The road, crucifix/cross, sidewalks, railroads, and so much more.

Step-by-step explanation: Roads are parallel so that everyone can get to the same place in different lanes. This is important because lines that aren't parallel will inevitably meet, meaning that a highway would eventually merge its two lanes. This happens, but most of the highway is parallel. The same is true of sidewalks and railroads. The crucifix/cross is a Christian symbol, and while I'm not Christian, I'm sure it's important to a lot of people who are.

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Part of the arena is being turned into a public darkroom. The floor needs covering in rubber tiles before work can begin on the
vladimir2022 [97]

The number of tiles used is 300 tiles.

According to the statement

We have given that:

The tiles are 20 cm by 30 cm. And the dark room floor is 6 meters by 3 meters.

And we have to find that the number of tiles used to prepare the dark room.

So, For this purpose we have to find the area of the room floor.

The area of the floor is 6 *3.

The area of the floor is 18 meter per square.

The area of the tile is 0.2*0.3

The area of the tile is 0.06 meter per square.

Now,

The number of tiles used is 18/0.06

The number of tiles used is 300.

So, The number of tiles used is 300 tiles.

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