Solve the system of linear equations by graphing

Answer:

The simplest polynomial function is [tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex].

Step-by-step explanation:

A n-th order polynomial in factorized form is defined by:

[tex]y = (x-r_{1})\cdot (x-r_{2})\cdot ...\cdot (x-r_{n-1})\cdot (x-r_{n})[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]r_{1}[/tex], [tex]r_{2}[/tex],..., [tex]r_{n-1}[/tex], [tex]r_{n}[/tex] - Roots of the polynomial.

We know that three roots, two real and a complex root. By Quadratic Formula,  a second order polynomial has two conjugated complex number of the form [tex]a + i\,b[/tex] and [tex]a - i\,b[/tex]. Hence, there is an additional zero: [tex]-i\,27[/tex].

By applying (1), we have the following polynomial when all roots are used:

[tex]y = (x-7)\cdot (x-\sqrt{13})\cdot (x-i\,27)\cdot (x+i\,27)[/tex]

By factorization and algebraic handling we have the simplest polynomial function:

[tex]y = [x^{2}-(7+\sqrt{13})\cdot x +7\sqrt{13}]\cdot (x^{2}+27)[/tex]

[tex]y = x^{2}\cdot (x^{2}+27)-(7+\sqrt{13})\cdot [(x^{2}+27)]\cdot x+7\sqrt{13}\cdot (x^{2}+27)[/tex]

[tex]y = x^{4}+27\cdot x^{2}-(7+\sqrt{13})\cdot x^{3}-(7+\sqrt{13})\cdot 27\cdot x +7\sqrt{13}\cdot x^{2}+189\sqrt{13}[/tex]

[tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex]

The simplest polynomial function is [tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex].

Answer:

A, C, D, and E

Step-by-step explanation:

They all have a constant rate.

Answer:

Step-by-step explanation:

a). Set of vowels in English alphabets:

    {a, e, i, o, u}

b). S = {x: x is a positive odd number less than 10}

    S = {1, 3, 5, 7, 9}

c). T = {letters in the word "WOOD"}

    T = {W, O, O, D}

Answer:

11

Step-by-step explanation:

the little bars mean absolute value and the absolute value of -5 is 5

16-5=11

Answer:

[tex]\frac{19}{14} x+\frac{97}{56}[/tex]

Answer:

70°

Step-by-step explanation:

a + 90 + 20 = 180      {Angles in straight line}

       a + 110 = 180

             a = 180 - 110

            a = 70

Answer:

i think it is 5x or x units

Not sure what kind of reward is glorious, but your answer is

Option 3

If I am wrong, let me know and I will redo the math

9514 1404 393

Answer:

  ABDEF -- 0.82 miles

Step-by-step explanation:

The lengths in feet of each of the segments have been worked out in the attachment to this problem:

  https://brainly.com/question/21623703

A shorter route could be one that leaves out stops C, G, H:

ABDEF has length (in feet) of ...

  AB +BD +DE +EF +FA = 817.7 +512.8 +804 +803.77 +1370.4 = 4308.67

There are 5280 feet per mile, so the route in miles is ...

  (4308.67 ft)/(5280 ft/mi) ≈ 0.82 mi

Shorter route ABDEF will have a length of 0.82 miles.

a 2 12

la respuesta

a (2 212

Answer:

15

Step-by-step explanation:

5 - 20

10 - 40

15 - 60

Answer:

15

Step-by-step explanation:

because if you double 20 two more times you get 60 so then had 5 three times you get 15

Answer:

D-24.2

Step-by-step explanation:

I'm not sure though

Answer:

1/4

Step-by-step explanation:

y2-y1

--------

x2-x1

(x , y)

(1 , 3)

(5 , 4)

4-3=1

--------

5-1=4

Answer:

37

Step-by-step explanation:

Split the arrow into a rectangle and triangle. The area of the rectangle is 7x4=28. The area of the triangle is 6*3/2=9. 28+9=37

Answer:

253892639292639264638 yw

Answer:

the answer should be x>-2

Answer:

download photo math

Step-by-step explanation:

+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

Step-by-step explanation:

6x-4x+9=25-9

2x=25-18

2x=7

x=3.5

6x-(4x-9)=25-9

6x-4x+9=25-9

2x+9=16

2x=7

x=3.5 so it is true when x=3.5

Answer:

I think it is D

Step-by-step explanation:

Answer:

1 1/35 as a mixed number, exact answer is 36/35

Answer:

7x +1

Step-by-step explanation:

Answer:

​(d)   x + y = 9

6x + 8y = 60

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Isosceles triangle have 2 equal angles. Therefore the second angle in the triangle will also be 25.

Since the sum of angles in a triangle is 180.

180-(25x2) will give you the last angle in one of the triangles.

The other angle is identical so the angle at the top of the other triangle will also be 130.

The sum of angles in a circle is 360.

Therefore, angle x = 360-(130x2)

X= 100

Answer: 3/4

Step-by-step explanation:

Slope formula is y2-y1 / x2-x1 or in this case 7-4 / 1--3 which equals = 3/4

Answer:

m=3/4

Step-by-step explanation:

Answer:

(-1,4)

Step-by-step explanation:

Using elimination, add the two equations to get rid of the y variable.

17x = 43 - 15y

+8x = -68 + 15y

=25x = -25

x = -1

Now plug in -1 for x in any of the equations.

17(-1) = 43 - 15y

-17 = 43 - 15y

-60 = -15y

y = 4

Answer:

Step-by-step explanation:

2x—33

Answer:

Step-by-step explanation:

3/12.5 = x/15.5 so x is 3.72

Then 3.72 + 15.5 = 19.22

Answer:

answering so they can get brainliest ^^

Step-by-step explanation:

Answer:

y=70°

z= 60°

w= 70°

Step-by-step explanation:

Since the two triangles are similar, we know that all of the corresponding angles must be the same.  On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°.  This means that the same angle is formed at Z, which is in the same location on the triangle to the right.  From there, we can find the missing angle, W, from the difference of 180°.

180°-50°-60°=70°.

The same way we found Z, we can also find Y, since it has to be the same as W.