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Yanka [14]
4 years ago
8

Which of the following is a polynomial with degree 3 and zeros –3 and 1 + i?

Mathematics
1 answer:
solmaris [256]4 years ago
8 0
Take the complex zero 1+i. There must be another zero 1-i to balance it, so we have the factors (x-1-i)(x-1+i)=x²-2x+1+1=x²-2x+2.
So the polynomial is (x+3)(x²-2x+2)=x³-2x²+2x+3x²-6x+6=x³+x²-4x+6, option D.
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What is the approximate distance between the points (-5,1) and (-2,3) on a coordinate grid? Show me an example please
yaroslaw [1]

Answer:

d=\sqrt{13}\ units   or  d=3.61\ units

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

A(-5,1)\\E(-2,3)  

substitute the values

d=\sqrt{(3-1)^{2}+(-2+5)^{2}}

d=\sqrt{(2)^{2}+(3)^{2}}

d=\sqrt{13}\ units

d=3.61\ units

the graph in the attached figure  

4 0
3 years ago
Marta puts 4.87 in her coin bank. Each day she added 1 quarter, 1 nickel , and 3 pennies. How much money was in her coin bank af
Diano4ka-milaya [45]
The answer is $6.85
Every day she puts in .33 cents.
So 6 days is $1.98
1.98+4.87=6.85
hope this helps
7 0
3 years ago
If AC = 8x - 14 and EC = 2x + 11, solve for x.
Elan Coil [88]

Answer:

Step-by-step explanation:

8x-14=2x+11

-8 -8

-14=-6x+11

-11

-25=-6x

/-6

x=4.16

5 0
2 years ago
Dimension of triangle A are three times the dimensions of triangle
nikitadnepr [17]
<span>a I took the test on ingenuity</span>
8 0
3 years ago
Read 2 more answers
The formula for the standard deviation of a sample is:
timofeeve [1]

Answer:

d. The variance is 9.56 and the standard deviation is 3.09.

Step-by-step explanation:

From the above question, we are given the following data set.

3, 7, 8, 8, 8, 9, 10, 10, 13, 14

a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10

= 90/10

= 9

b) Variance

The formula for sample Variance = (Mean - x)²/ n - 1

Mean = 9

n = 10

Sample Variance =

(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1

= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9

= 86/9

= 9.555555556

≈ Approximately 9.56

Variance = 9.56

Sample Standard deviation = √Sample Variance

= √9.56

= 3.0919249667

≈ Approximately 3.09

5 0
4 years ago
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