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Artemon [7]
3 years ago
14

Determine the end behavior of the polynomial function. f(x)=-3x^4-2x^3+2x^2+ 3x +5 a) falls to the left and rises to the right b

) falls to the left and falls to the right c) rises to the left and rises to the right d) rises to the left and falls to the right e) none
Mathematics
1 answer:
Molodets [167]3 years ago
8 0

Answer:

Option b is correct

Step-by-step explanation:

In order to check the end behavior of a  polynomial function we   just check the leading term and its coefficient and the procedure is as  follows:

Here we can see that highest exponent of the polynomial function is 4

therefore degree of the polynomial is 4. and therefore  -3x^4 is leading term.  

because of even degree it will be same from both ends that is either both sides rises or both sides falls. Since number in the front of  leading is negative therefore it falls at both ends. that is  falls to  the left and falls to the right.

therefore option b is correct.

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Crazy boy [7]
The answer to the question is: Yes.

Explanation:  It can be solved by following exactly the same procedures
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Since I'm here already, here is the solution to this one:

6x² + 18x = 0

Divide each side of the equation by 6 :

x² + 3x = 0

Factor the left side:

x(x+ 3) = 0

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The solution to this one is even the same as the solution to the last one you posted.
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yawa3891 [41]

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Step-by-step explanation:

5 0
3 years ago
You want to place a towel bar that is 24 1/4 centimeters long in the center of a door that is 70 1/3 centimeters wide. How far s
Aleksandr [31]

Answer:

The towel bar should be placed at a distance of 23\frac{1}{24}\ cm from each edge of the door.

Step-by-step explanation:

Given:

Length of the towel bar = 24\frac14\ cm

Now given length is in mixed fraction we will convert in fraction.

To Convert mixed fraction into fraction Multiply the whole number part by the fraction's denominator, then Add that to the numerator, then write the result on top of the denominator.

24\frac14\ cm can be Rewritten as \frac{97}{4}\ cm

Length of the towel bar =  \frac{97}{4}\ cm

Length of the door = 70 \frac13\ cm

70 \frac13\ cm can be Rewritten as \frac{211}{3}\ cm

Length of the door = \frac{211}{3}\ cm

We need to find the distance bar should be place at from each edge of the door.

Solution:

Let the distance of bar from each edge of the door be 'x'.

 So as we placed the towel bar in the center of the door it divides into two i.e. '2x'

Now we can say that;

\frac{97}{4}+2x=\frac{211}{3}\\\\2x=\frac{211}{3}-\frac{97}{4}

Now we will take LCM to make the denominators common we get;

2x=\frac{211\times4}{3\times4}-\frac{97\times3}{4\times3}\\\\\\2x= \frac{844}{12}+\frac{281}{12}

Now denominators are common so we will solve the numerators.

2x =\frac{844-291}{12}\\\\2x=\frac{553}{12}\\\\x=\frac{553}{12\times2} =\frac{553}{24}

Or x=23\frac{1}{24}\ cm

Hence The towel bar should be placed at a distance of 23\frac{1}{24}\ cm from each edge of the door.

8 0
3 years ago
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