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tangare [24]
2 years ago
11

A polynomial function, f(x), with rational coefficients has roots of –2 and square root of 3. The irrational conjugates theorem

states that which of the following must also be a root of the function?
Mathematics
2 answers:
kap26 [50]2 years ago
8 0

Answer:

Step-by-step explanation:

option b

makkiz [27]2 years ago
4 0

Answer:if 2 + √3 is an irrational root to a polynomial, then its irrational conjugate 2- √3 is also.

Step-by-step explanation:

Given : A polynomial function, f(x), with rational coefficients has roots of –2 and square root of 3.

To find :  which of the following must also be a root of the function?

Solution : We have root of  f(x)  = 2 +√3.

By the  irrational conjugates theorem : it state that  states that if   a + √b is an irrational root to a polynomial, then its irrational conjugate a - √b is also

root.

Therefore, if 2 + √3 is an irrational root to a polynomial, then its irrational conjugate 2- √3 is also.

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Erica makes necklaces from beads. Each necklace consists of blue, white and green beads in the ratio of 6 : 4: 1 One necklace ne
Assoli18 [71]

Answer:

<u>For one Necklace you would need...</u>

24 blue beads.

16 white beads.

4 green beads.

Ratio: 24: 16: 4

Step-by-step explanation:

If you quadruple the amount of beads from the original amount (6 : 4: 1), the total beads for that necklace will be 44.

Step 1: 6 x 4 = 24 (amount of blue beads in necklace).

Step 2: 4 x 4 = 16 (amount of white beads in necklace).

Step 3: 1 x 4 = 4 (amount of green beads in necklace).

Now check to see if the total of all types of beads sum up to 44:

Step 4: 24 + 16 + 4 = 44

______________-

There is your answer:

You need 24 blue beads, 16 white beads, and 4 green beads to have a total sum of 44 beads in that one necklace.

7 0
3 years ago
Five pounds is equal to 2.268 kilograms. How many kilograms is 2 pounds?
Tema [17]

Given:

5 pounds = 2.268 kilograms

To find:

The number of kilograms in 2 pounds.

Solution:

We have,

5 pounds = 2.268 kilograms

Divide both sides by 5.

1 pounds = \dfrac{2.268}{5} kilograms

1 pounds = 0.4536 kilograms

Multiply both sides by 2.

2 pounds = 2×0.4536 kilograms

2 pounds = 0.9072 kilograms

Therefore, the correct option is B.

4 0
3 years ago
What is - 33/50 as a decimal
dimaraw [331]
-\ \frac{33}{50} =-\ \frac{33}{50}* \frac{2}{2} =- \frac{33*2}{50*2}=- \frac{66}{100}=-0.66
6 0
3 years ago
Read 2 more answers
In which number is the value of the 7 in the number 1.273
Ne4ueva [31]

The hundredths place

the 2 would be tenths, 1 is hundredths, and the 3 is thousandths

7 0
2 years ago
The orange shape is a dilation of the black shape
grigory [225]

Answer:

 1/4

Step-by-step explanation:

The orange shape is 3 units tall and 4 units wide. The black shape is 12 units tall and 16 units wide. The scale factor is ...

 orange/black = 3/12 = 4/16 = 1/4

<h2 />
7 0
2 years ago
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