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Hitman42 [59]
2 years ago
10

Find the polynomial of least degree in standard form with the given roots: x = 2, 3i

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
4 0

Answer:

x^3 - 2x^2 + 9x - 18.

Step-by-step explanation:

The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.

So we have:

P(x) = (x - 2)(x - 3i)(x + 3i)

= (x - 2)(x^2 - 9i^2)

= (x - 2)(x^2 - 9*-1)

= (x - 2)(x^2 + 9)

= x^3 + 9x - 2x^2 - 18

= x^3 - 2x^2 + 9x - 18.

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Solve the system of inequalities<br> 1-12y&lt;:3y+1; 2-6y&gt;4+4y
ICE Princess25 [194]

For 1 - 12y < 3y+1;        y > 15

For 2 - 6y  >  4  +  4y;   y  <  -0.2

The given inequalities are:

1  -  12y < 3y  +  1

2 - 6y  >  4  +  4y

For 1  -  12y < 3y  +  1:

1  -  12y < 3y  +  1

Collect like terms

-12y  -  3y  <  1  -  1

-15y    <   0

Multiply both sides by -1

-1(-15y)   >  0(-y)

15y    >   0

Divide both sides by 15

y   >  0/15

y   >   15

For 2 - 6y  >  4  +  4y

Collect like terms

-6y  - 4y  >  4  -  2

-10y   >   2

Multiply both sides by -1

-1(-10y)   <  2(-1)

10y   <  -2

y  <  -2/10

y  <  -0.2

Learn more here: brainly.com/question/11316045

8 0
3 years ago
Ocabulary Choose the example of an inverse relationship. A. Multiplying by 4 is the inverse of multiplying by –4. B. Multiplying
n200080 [17]

Answer:

C. Dividing by 4 is the inverse of multiplying by 4.

Step-by-step explanation:

We have been given 4 options. We are asked to choose the option that represents inverse relationship.

We know that inverse of addition is subtraction and vice versa.

We also know that inverse of multiplication is division and inverse of division is multiplication.

Upon looking at our given choices, we can see that option C is the correct choice because we are multiplying and dividing by same number 4. Upon dividing and multiplying a quantity by 4, we will get the same quantity.

\frac{4\cdot a}{4}=a

Therefore, dividing by 4 is the inverse of multiplying by 4.

7 0
2 years ago
In Carna's desk drawer, there are 16 paper clips and 20 elastic bands. In Noelia's office supply tray, there are 10 paper clips
Nimfa-mama [501]

Answer:

Carna has a lower ratio of paper clips to elastic bands

0.2

Step-by-step explanation:

step one

given data

In Carna's desk drawer

number of paper clips 16

number of elastic band= 20

ratio of paper clips to elastic bands

16:20= 1/5 =0.2

Noelia's office supply tray

number of paper clips 10

number of elastic band= 13

ratio of paper clips to elastic bands

10:13= 0.76

Carna has a lower ratio of paper clips to elastic bands

0.2

5 0
2 years ago
consider the following systems of linear inequalities. x+2y is &gt; than or equal to 10 and 3x-4y&gt;12. Which of the following
Neporo4naja [7]
The answer is (10,2),(14,-1), and (8,1)
5 0
2 years ago
If A and B are two points on a circle such that m of arc (AB) = 260°. A possible value for the
Sindrei [870]

Answer:

c) 50 degrees

Step-by-step explanation:

360-260 = 100 degree central angle

inscribed angle = 1/2 (100) = 50

6 0
2 years ago
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