Answers
Related Questions
The simplest polynomial function with zeros 7, square root 13 and 27i would be of what degree
Answers
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].
whoever answers right gets brainliest
Answers
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
2x-10>-14
Pls help ASAP pls
Answers
Answer:
the answer should be x>-2
Answer:
download photo math
Step-by-step explanation:
+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
plz help I need answers as fast as possible
Answers
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}
please help
thank u!
Answers
What’s the approximate value?
Answers
Answer:
D-24.2
Step-by-step explanation:
I'm not sure though
Which ordered pair is a solution to the following inequality? Select all that apply. y > 7x −3
A. (2, 12)
B. (-3, -15)
C. (0, -3)
D. (1, 5)
Answers
a 2 12
la respuesta
a (2 212
18/5 - 18/7 plz help!!!
Answers
Change the denominator to 35
Then just minus
Answer:
1 1/35 as a mixed number, exact answer is 36/35
Solve this system of linear equations. Separate the x- and y- values with a comma.
17x = 43 - 15y
8x = -68 + 15y
Answers
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
PlZ HELP WILL GIVE BRAINLIEST .....THANKYOU
Answers
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:
Abu solved 231 multiplication problems. Later, he also solved 131 divison problems. How many more mutiplication problems than divison problems did Abu solve?
Answers
One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?
Answers
Answer:
Each shelter would get 121 blankets
And there would be 5 blankets left over
Step-by-step explanation:
One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?
From the above question
7 local shelters = 852 blankets
1 local shelters = x blankets
Cross Multiply.
7x = 852 blankets
x = 852 blankets/7
x = 121 5/7 blankets
Therefore, Each shelter would get 121 blankets
And there would be 5 blankets left over
pls answer asap
its due tomorrow
Answers
Answer:
[tex]\frac{19}{14} x+\frac{97}{56}[/tex]
This is from pre calc
Answers
Answer:
The dimensions are 106, 47,116
Step-by-step explanation:
[tex]when \: {(x + 10)}^{2} = {y }^{2} + {x}^{2} \\ then \: {y}^{2} = {(x + 10)}^{2} - {x}^{2} \\ {y}^{2} = {x}^{2} + 20x + 100 - {x}^{2} \\ {y}^{2} = 20x + 100 \\ then \: y = \sqrt{20x + 100} \\ when \\ area \: of \:rectangular \: = x \times y \\ then \\ x \times \sqrt{20x + 100} = 5000 \\ Square \: both \: sides \\ {x}^{2} (20x + 100) = 25000000 \\ 20 {x}^{3} + 100 {x}^{2} - 25000000 = 0 \\ Using \: the \: analysis \\ x = 106 \: \: \: or \: x = - 55.5 \\ \: We \: reject \: the \: negative \: solution \: because \: there \: is \: no \: length \: in \: the \: negative \\ then \: the \: dimensions \: are \: \\ 106 \\ 47 \\ 116[/tex]
can someone explain how i find the missing angle on this thing
Answers
Answer:
70°
Step-by-step explanation:
a + 90 + 20 = 180 {Angles in straight line}
a + 110 = 180
a = 180 - 110
a = 70
What is the slope of (-4,3) and (-3,1)
Answers
same thing just in a dec and frac
Subtract - 2x – 10 from 10x2 + 3.
Answers
Answer:
Step-by-step explanation:
2x—33
y +3 = x
3x + 4y = 16
Answers
Step-by-step explanation:
y+3=x
or 0=x-y-3... ans
3x+4y=16
or, 3x+4y-16=0 answer.......
A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 2 tables is 26$. The total cost to rent 3 chairs and 5 tables is 38$. What is the cost to rent each chair and each table?
Answers
Answer:
Chairs: 1.75 Tables: 8.50
Step-by-step explanation:
6x - (4x – 9) = 25 – 9
-True
-False
Answers
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
A T-Shirt cannon can launch 5 shirts in 20 minutes, how many can it launch in 60 minutes?
Answers
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
Someone plz help me I will give brainliest
Answers
Answer:
I think it is D
Step-by-step explanation:
You are purchasing paint and paintbrushes
for an art project. Tubes of paint cost $6 each
and paintbrushes cost $8 each. You plan
on spending $60 and purchasing a total of
9 items. Which linear system best represents
the situation?
Answers
Answer:
(d) x + y = 9
6x + 8y = 60
Step-by-step explanation:
Some customers have requested a shorter tour with fewer stops. All her tours need to start and end at point A. Suggest a shorter route that eliminates two or three stops from her current route. What is the length in miles of the route you suggest? Round to the nearest hundredth.
Answers
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.
Write a mathematical expression for the word expression. Seven times a number plus one
Answers
Answer:
7x +1
Step-by-step explanation:
Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?
A)liz
B)Rick
this is Compare rates: word problems please show and explain the work show WORK
Answers
can someone help me with this please?
Answers
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.
What is the slope (1,3) and (5,4)
Answers
Answer:
1/4
Step-by-step explanation:
y2-y1
--------
x2-x1
(x , y)
(1 , 3)
(5 , 4)
4-3=1
--------
5-1=4
fellow brainly users, please don't keep scrolling past this question. i desperately need help. help a sister out. ur reward will be glorious. please, please brainly wan kenobi.. u are my only hope
Answers
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
more free brain pointssssss if u can answer the question 3+90000000
Answers
Answer:
253892639292639264638 yw