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djverab [1.8K]
3 years ago
12

Irrational conjugate theorem

Mathematics
1 answer:
podryga [215]3 years ago
7 0

Answer:

The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.

Step-by-step explanation:

The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.

For example, if we consider a quadratic equation x² + 6x + 1 = 0, then two of its roots are - 3 + √8 and - 3 - √8 and they are conjugate of each other. (Answer)

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What is the inequality represented by this graph? (pls help its worth 30 points and ill give brainliest if ur correct :D)
Yakvenalex [24]

Step-by-step explanation:

We find the equation of the solid blue line:

The line decreases by 1 unit for every 3 units across.

=> Slope of line = -1/3.

Also the y-intercept is 1.

=> Line equation: y = -1/3 x + 1.

We see that the graph below this line is shaded.

Therefore all y-values below or on the line are represented by the graph.

=> y <= -1/3 x + 1.

The answer is y <= -1/3 x + 1.

4 0
2 years ago
What is the area of the surface cone rounded to the nearest tenth?
EleoNora [17]

Answer:

A = 422.4

i promise it's right :)

4 0
3 years ago
The data below represent the ages of people working at a store.
Slav-nsk [51]

Answer:

The first step is sort the values on increasing order and we got:

18, 18, 19, 19, 19, 20, 22, 23. 25,  26, 31

And in order to find the first quartile we can separate the first 5 lowest values from the largest 5 values. And for this case we focus on these values:

18, 18, 19, 19, 19

And if we find the median of the last 5 values we can find the first quartile and we got:

Q_1 = 19

The best answer would be:

19

Step-by-step explanation:

For this problem we have the following dataset:

18, 26, 19, 25, 19, 23, 31, 22, 19, 18, 20

The first step is sort the values on increasing order and we got:

18, 18, 19, 19, 19, 20, 22, 23. 25,  26, 31

And in order to find the first quartile we can separate the first 5 lowest values from the largest 5 values. And for this case we focus on these values:

18, 18, 19, 19, 19

And if we find the median of the last 5 values we can find the first quartile and we got:

Q_1 = 19

The best answer would be:

19

4 0
4 years ago
Which expressions are equal to 0 when x = -1? Check all that apply.
Sphinxa [80]

Answer:

A C and E

Step-by-step explanation:

6 0
3 years ago
Subtract and simplify.
Anestetic [448]
(y^2-7y-5)-(-3y^2+3y-4)
=y^2-7y-5+3y^2-3y+4
=3y^2+y^2-7y-3y-5+4
=4y^2-10y-1

In short, the answer would be 4y^2-10y-1 (Option D).

Hope this helps !

Photon
6 0
3 years ago
Read 2 more answers
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