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AVprozaik [17]
3 years ago
8

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu

de those listed.
5 ​(multiplicity 2), 7+i​ (multiplicity 1)
Mathematics
1 answer:
ollegr [7]3 years ago
8 0
Required polynomial = (x - 5)^2 (x - 7 - i))(x - 7 + i)) = (x^2 - 10x + 25)(x^2 - 7x + ix - 7x + 49 - 7i - ix + 7i + 1) = (x^2 - 10x + 25)(x^2 - 14x + 50) = x^4 - 24x^3 + 215x^2 - 850x + 1250
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There are 4 teams in a basketball league. Each team plays each of the other teams three times. How many games are played?
svetlana [45]
12 each that is the answer


 
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4 years ago
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HELP!! PLEASE A carpenter is framing a window with wood trim where the length of the window is 9 and 1/3 feet. If the width of t
ohaa [14]
We need the perimeter of the window for framing

The window is in the shape of a rectangle with the height of 9 \frac{1}{3} feet and width of 6 \frac{3}{4}. The diagram of the shape is shown below

The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.

The perimeter of the window is 9 \frac{1}{3}+9 \frac{1}{3}+6 \frac{3}{4}+6 \frac{3}{4} = 18 \frac{2}{3}+12 \frac{6}{4} 

We have two whole numbers 18 and 12 and two fractions \frac{2}{3} and \frac{6}{4}

Adding the two fractions that have different denominator 
\frac{2}{3}+ \frac{6}{4} = \frac{8}{12}+ \frac{18}{12}= \frac{26}{12}, which is an improper fraction which we can change into a mixed number 2 \frac{1}{6}

So the perimeter of the window is 
18+12+2 \frac{1}{6} =32 \frac{1}{6} 

and the length of wood needed for the frame is 32 \frac{1}{6} feet


4 0
3 years ago
In how many ways can a president and a vice president be randomly selected from a class of 20 students?
SpyIntel [72]

Answer:

n how many ways can a president, vice president, and a secretary be chosen? It is 12X11X10. Permutation of n things taken r at a time: nPr=n!/(n-r)! 12P3=12*11*10*9!/9!= 12*11*10=1320 ways.

Step-by-step explanation:

7 0
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The key to this question is calculating the percentage of students within each category (honor roll or non-honor roll) who received the class requested. We need to calculate the ratio of students who received the class they requested and who did not for both honor roll and non-honor roll students :

Honor Roll :

215 + 80 = 295 total honor roll students 

215/295 = 72.88% = percentage of honor roll students who received class requested

80/295 = 27.12% = percentage of honor roll students who did not receive class requested

Non-Honor Roll :

125 + 80 = 205 total non-honor roll students 

125/205 = 60.98% = percentage of non-honor roll students who received class requested

80/205 = 39.02% = percentage of non-honor roll students who did not receive class requested

72.88% of honor roll students received the preferred class as opposed to only 60.98% of non-honor roll students. Therefore, there is an advantage. 
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How to write 200,000+80,000+700+6 in standard form
TEA [102]
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