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lesya [120]
3 years ago
8

Polynomial Functions help

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0
The key piece of information for these questions is the Fundamental Theorem of Algebra, which states that a degree n polynomial has n complex roots. A complex root can be either real or imaginary. 

First question, regarding the polynomial y = x^3 - 3x^2 + 16x - 48:
We know there is one real root, the x-intercept.
Since it's a third degree polynomial, there are three complex roots in total. 
Therefore, there is one real root and two imaginary roots.
Answer is B

Second question:
You probably can guess the answer, now that you know the Fundamental Theorem of Alegebra:
There are 3 real zeros, each with multiplicity one, meaning each root only happens once. It's a 5th degree polynomial, so there are a total of 5 roots, implying 2 imaginary roots. 

Answer is C) 3 real and 2 imaginary zeroes.

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Using SET NOTATION, what is the solution set for the following equation? a² - 3 = 22
mixas84 [53]

Answer:

a = 5 or  a = -5

Step-by-step explanation:

7 0
3 years ago
Sal the sloth takes one hour to travel 7 1/2 feet. If he continues to travel at the same rate, how long will it take him to trav
pentagon [3]

Answer:

4 hours

Step-by-step explanation:

Since we know he travels at a rate of 1:7.5 all we have to do is divide 7.5 by 30. Do you use proportions? You can set this up as a proportion and the find answer easily.

1\frac{1}{7.5} =\frac{x}{30}

Now we cross product.

7.5 multipled by x  =7.5x

1x30=30

so now we have

7.5x=30

Now we have to divide 7.5 on both sides which gives us

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3 0
2 years ago
What is the area of the triangle
motikmotik
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3 years ago
Answer with explanation please! tysvm!
Aleksandr-060686 [28]

Answer:

c

Step-by-step explanation:

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6 0
2 years ago
Your bag of rice says to mix 1 cup of rice with 2 cups of water. dela requ prov a. What is the ratio of rice to water? refer to
EastWind [94]

Answer:

(a) 1:2

(b) 6 cups

(c) \dfrac{2}{3}

Step-by-step explanation:

(a) Given,

amount of rice mixture contains= 1 cup

amount of water mixture contains= 2 cups

\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

                                                              =\ \dfrac{1}{2}

So, the ratio of rice to water is 1:2.

(b) Amount of rice in mixture = 3 cups

\textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

                      =>\ \dfrac{1}{2}\ =\ \dfrac{3}{\textrm{amount of water in mixture}}

                       => amount of water in mixture = 3 x 2

                                                                          = 6 cups

(c) \textrm{amount of rice in mixture}\ =\dfrac{1}{3}

 \textrm{So, the ratio of rice to water}\ =\ \dfrac{\textrm{amount of rice in mixturte}}{\textrm{amount of water in mixture}}

   =>\ \dfrac{1}{2}\ =\ \dfrac{\dfrac{1}{3}}{\textrm{amount of water in mixture}}

  =>\textrm{amount of water in mixture}\ =\ \dfrac{2}{3}

So, the amount of water in the mixture will be \dfrac{2}{3} cup.

7 0
3 years ago
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