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Drupady [299]
4 years ago
6

Which of the functions below could possibly have created this graph?

Mathematics
2 answers:
ANEK [815]4 years ago
4 0
There are three turning points. So the highest power should be 4. Also, it approaches -infinity as x gets infinitely larger. It's negative.
Choose A
seropon [69]4 years ago
3 0

Answer:

The function that could possibly have created this graph is:

F(x)=\dfrac{-1}{3}x^4+7x^2+15x

Step-by-step explanation:

As we know that any odd degree polynomial has odd number of real zeros since the complex zero always exist in pair.

Here in the graph we see that there are 4 real zeros.

Hence, the polynomial can't be a odd degree polynomial.

Hence, option: B and Option: C are discarded.

So, we are left with choice A and D i.e. a even polynomial.

Also as we could see that the end behavior of the graph satisfy:

as x→ -∞    F(x) → -∞

Also when x → ∞ then F(x) → -∞

Hence, the even degree  polynomial must have a negative leading coefficient.

Hence, option: D is also discarded.

Hence, option: A is the answer.

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EleoNora [17]

Answer: 0.205

Step-by-step explanation:

The probability in one flip is equal to 0.5.

Now, if we do 10 flips, we want 4 times that the coin ends in heads and the other 6 times it must end in tails, so the probability is:

0.5^4*0.5^6 = 0.5^10

Now, this is the case where in the first 4 flips we get heads and in the other 6 we get tails, but we have other ways to get only 4 heads (for example in the last 4 flips, 2 at the beginning and 2 at the end, etc)

So we also need to calculate all the possible permutations of 4 heads in 10 flips. this is:

C = 10!/(10 - 4)!*4! = (10*9*8*7)/(4*3*2*1) = 210

So the probability that we are looking for is:

P = (0.5^10)*210 = 0.205

4 0
4 years ago
PLS HURRY UP!!!! NEED HELP!!!!​
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5. Area = 2 unit * 7 units = 14 squared units

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In which quadrant does the point (–10, 9) lie?
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The figure, polygon ABCD is dilated by a factor of 2 to produce A B C D with the origin as the center of dilation
cestrela7 [59]

In the polygon ABCD, the production of point A' and point D' is (-2,-2)  and (4,-2) respectively.

<h3>What is the transformation rule?</h3>

In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:

\mathbf{(x,y) \to  (k_x, k_y)}

where;

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From the given information:

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Now, using the coordinate vertices:

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The corresponding coordinate of the image vertices is as follows:

A(-1,-1) → A'(2 × (-1), 2 × (-1))

A' = (-2,-2)

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Learn more about the transformation rule in coordinate planes here:

brainly.com/question/4251601

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