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Ad libitum [116K]
3 years ago
10

a polynomial function with rational coefficients has the given roots. find two additional roots -2i and square root of 10

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
5 0

Answer:

(-2)(100) or 10^2 is 100

Step-by-step explanation:

(x -2)(x+100) =x

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How to solve this equation equal to zero
hjlf
3x² -16x-12 =0

We can solve this equation using formula.

a=3, b=-16, c=-12

x= \frac{-b+/- \sqrt{b^{2} -4ac} }{2a} 
\\ \\ x= \frac{16+/- \sqrt{16^{2}+4*3*12} }{2*3} = \frac{16+/- \sqrt{400} }{6} = \frac{16+/-20}{6} 
\\ \\ x_{1}= \frac{16+20}{6} =6
\\ \\x_{2}=  \frac{16-20}{6} =- \frac{4}{6} = -\frac{2}{3}
8 0
4 years ago
There are 48 DVDs of comedies and dramas on the shelf. If 25% of the DVDs are comedies, how many are dramas?
Mazyrski [523]

There are 36 drama DVD's

<em><u>Solution:</u></em>

Given that there are 48 DVD's of comedies and dramas on shelf

25 % of DVD's are comedies

To find: number of drama DVD's

Total number of dvd = 48

Number of comedy dvd = 25 % of 48

Let us find 25 % of 48

\rightarrow 25 \% \text{ of } 48\\\\\rightarrow 25 \% \times 48\\\\\rightarrow \frac{25}{100} \times 48\\\\\rightarrow 0.25 \times 48 = 12

Thus, number of comedy dvd = 12

Thus we get,

number of drama DVD's = Total number of dvd - number of comedy dvd

number of drama dvd = 48 - 12 = 36

Thus there are 36 drama dvd's

4 0
4 years ago
What is the answer to the q
satela [25.4K]

Answer:

starting from (0,0),go to the 6 units and up 1

Step-by-step explanation:

5 0
3 years ago
How do you work out this problem, step by step please I am so lost. Year Average Household Income (before taxes) Food Housing Tr
Hitman42 [59]

Answer:

(a)Food-12%

9b)Transportation-17%

Step-by-step explanation:

In the Year 2000

  • Average Household Income (before taxes)=$44,649
  • Amount Spent on Food =$5,158
  • Amount Spent on Transportation=$7,417

Therefore:

(a)Percentage of the average household income in 2000 was spent on food

=\dfrac{5158}{44649} \times 100\\\\=11.55\%\\\\\approx 12\% $(to the nearest percent.)

(b)Percentage of the average household income in 2000 was spent on transportation

=\dfrac{7,417}{44649} \times 100\\\\=16.6\%\\\\\approx 17\% $(to the nearest percent.)

3 0
3 years ago
The probability that Caroline wins a raffle is given by the expression
RSB [31]

Answer:  \frac{n-m}{n}

This is the same as writing (n-m)/n

Don't forget about the parenthesis if you go with the second option.

==================================================

Explanation:

The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.

For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

Doing a bit of algebra would have these steps

1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\

and now the expression is one single fraction.

8 0
3 years ago
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