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LuckyWell [14K]
2 years ago
12

Which of the following graphs is a polynomial function with x-intercepts of (-2, 0), (0, 0), and (3, 0)?

Mathematics
1 answer:
Sergio [31]2 years ago
8 0

Answer:

The intercepts of the third degree polynomial corresponds to the zeros of the equation

y = d*(x-a)*(x-b)(x-c)

Where a, b and c are the roots of the polynomial and d an adjustment coefficient.

y = d*(x+2)*(x)*(x-3)

Lets assume d = 1, and we get

y = (x+2)*(x)*(x-3) = x^3 - x^2 - 6x

We graph the equation in the attached file.

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The volume of a right cylinder is V = πr2h. If we have an oblique cylinder, like in the figure, what is the volume of a cross-se
olchik [2.2K]
Since you did not attach any picture we cannot say for sure what is the correct answer, but we can discuss the options in order to find the most probable correct answer.

First of all, according to the Cavalieri's principle, an oblique cylinder has the same volume as a right cylinder with the same base surface area and same height.
A cross-section of an oblique cylinder will be a small right cylinder with the same base surface area and a height as small as possible.

I guess the oblique cylinder has height h and it is divided into many (probably 10) cross-sections.

Option A: <span>πr2h
This is exactly the volume of the right cylinder, therefore, unless you are given a cross-section of height h (which would be too easy), this won't be the correct answer.

Option B: </span><span>4πr2h
This is 4 times the right cylinder. Again, here the height of the cross-section should</span> be 4h, but it doesn't sound like a possible data (too easy again).

Option C: <span>1 10 πr2h
Here comes a n issue with the notation: I think the right number you meant to write is (1/10)</span>·πr2h and not 110·<span>πr2h.
If I am right, this means that your oblique cylinder of height h is divided into 10 cross-sections, and therefore the volume of each of these cross-sections will be a tenth of the volume of the oblique cylinder, which means </span>1/10·<span>πr2h.

Option D: </span><span>1 2 πr2h
Here, we have the same notation issue as before. I think you meant (1/2)</span>·<span>πr2h.
Here, your oblique cylinder height h should be divided into only 2 cross-sections. Now, we said the cross-section's height should be the smallest as possible, so an oblique cylinder divided only into two pieces doesn't sound good.

Therefore, the most probable correct answer will be C) </span>(1/10)·<span>πr2h</span>
8 0
3 years ago
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Which phrase describes the volume of a -dimensional figure?
AnnyKZ [126]
It’s B, the number of cubic units it takes to fill a solid figure
3 0
3 years ago
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What Is 1+1=? Help!!!
mestny [16]
2!!! I better get 5 points
4 0
3 years ago
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I dont understand???????????
love history [14]

Answer:

Step-by-step explanation:

We can obtain that the dimensions of the rectangle are 7 by 5.

Since A = lw, the total area is 35.

5 0
2 years ago
For a given triangle it is known that cos A =-0.5, where 0° <br> Based on the information given above, the value of angle(s) A i
Assoli18 [71]

Answer:

120

Step-by-step explanation:

Here, we want to get the possible value of A

Now, we should understand that the value of an angle in triangle cannot be more than 180

Also, cosine can only be negative in the second and the 3rd quadrant

So,

arc cos (-0.5) = 120 , 300 , 60

But 60 is not correct as it will give a negative value

300 is not correct also as it is more than the angles present in a triangle

Thus, our answer is 120

7 0
3 years ago
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