What are all of the real roots of the following polynomial?
f(x) = x5 + 3x4 + 5x3 + 15x2 + 4x + 12
Answers
According to the graphic method, the quintic function has a real root at (x, y) = (- 3, 0) and four complex roots.
How to find the roots of quintic equation
Quintic functions are polynomics of degree 5, there are numerical and graphical approaches to find real roots of those kind of polynomials. By algebra we know that quintic equations have at a least one real root and at most five real roots.
In this problem we shall use a graphic approach to determine the real roots of the quintic equation, as it offers sufficiency and quickness for analysis. Please notice that a point of the curve is a root if the point lies on the x-axis.
The graph is contained in the image attached below. According to the outcome, the quintic function has a real root at (x, y) = (- 3, 0) and four complex roots.
To learn more on polynomials: https://brainly.com/question/11536910
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Related Questions
Multiply 6i(4-6i). Write the result in the form a+bi
Answers
6i (4 - 6i)
(6i)(4) = 24i
(6i)(-6i) = -36i^2
i^2 = (-1)
(-36)(-1)= 36
24i + 36
Answer:
36+24i
Step-by-step explanation:
A rectangle that is 2" x 3" has been scaled by a factor of seven suppose you want to scale the copy back to its original size what scale factor should you use
Answers
Answer:
5
Step-by-step explanation:
I'm building my first gaming pc, got any tips.
Answers
Answer:
A good graphics card.
Step-by-step explanation:
Answer: Most games are cpu based so get a good cpu. Also, too much rgb is not good, you need to spend more on your power supply than your rgb.
Step-by-step explanation:
Please answer this...
Answers
Answer and Step-by-step explanation:
The equation would be y = 5x + 75
Now, plug in 1, 2, 6, and 12 for x (which represents the hours) and solve for y (which represents the price).
1 hour - $80
2 hours - $85
6 hours - $105
12 hours - $135
Factorize the given expression and divide them as directed.
[tex](m^{2} -5m +6) divided (m-2)[/tex]
Answers
We have to find :
m² - 5m + 6 / (m - 2) = ?First of all, we need to factorize
(m² - 5m + 6)⭆ m² - 5m + 6
⭆ m² - (3 + 2)m + 6
⭆ m² - 3m - 2m + 6
⭆ m(m - 3) - 2(m - 3)
⭆ (m - 2) (m - 3)
★ Division :
➠ m² - 5m + 6 / (m - 2)
➠ (m - 2) (m - 3) / (m - 2)
➠ (m - 3) [Final answer][tex].[/tex]
Hope It Helps!there are no 43 people in the cafeteria what is the inequality
Answers
Answer:
Step-by-step explanation:
if you have the option, you can say
# of people ≠ 43
Solve the equation below
3h - 2( 4h - 5 ) = 10 - 5h
Answers
Answer:
Infinite solutions
Step-by-step explanation:
3h-8h+10=10-5h
-5h+5h=10-10
0=0
Infinite solutions
Answer:
This should be the correct answer.
Ava turtle is half as old as her parrot in 10 years her turtle will be 3/4 as old as her parrot .write the equation to represent this situation.How old is avas turtle
Answers
Answer:
13
Step-by-step explanation:
I think the turtle would be 13 and 1/3 because we know that the turtle is half as old as the parrot. So if we divide 10 by 3/4 we can get how old the turtle is now
The system of the equation is :
[tex]2x=y\\3y-4x=10[/tex]
Thus, the age of the ava's turtle is 5 years.
Given:
Ava's turtle is half as old as her parrot.
The turtle will be 3/4 as old as her parrot in 10 years.
Let us assume the age of the turtle is x years and the age of the parrot is y years.
According to the first statement, the variables can be related as:
[tex]{x}=\dfrac{y}{2}\\2x=y[/tex]
According to the second statement, the variables can be related as:
[tex]\begin{aligned}x+10&=\dfrac{3}{4}(y+10)\\4(x+10)&=3(y+10)\\4x+40&=3y+30\\4x-3y&=-10\\3y-4x&=10\end{aligned}[/tex]
Thus, the system of the equation is :
[tex]2x=y\\3y-4x=10[/tex]
By solving the above system of the equation, we get x=5 and y=10.
Thus, the age of the ava's turtle is 5 years.
To know more about the system of the equation, please refer to the link:
https://brainly.com/question/2146068
6 ( x + 1) - 5 (x + 2)
Answers
Answer:
x-4
Step-by-step explanation:
6x+6-5x-10=
x-4
( you have to multiply what is inside the parenthases to get to the first step that i did)
Answer:
x−4
Step-by-step explanation:
It’s due today so I’d like some help please
Answers
Answer:
The answer is E since you'll be adding 3.844 to each other and the terms as well. But the answer is E again
Answer:
E. 7.688 × 10^8
HELP PLZZZZZZZZZ!!!!!!!!!!
Answers
Answer:
C
Step-by-step explanation:
Interior means on the inside. C is the only angle that is inside the shape.
can someone tell me how to solve translations please?
Answers
Step-by-step explanation:
Hey there!
Here; The coordinates are ; H(-4,-2), G(-5,3), F(-2,1)
The translation P(x,y) = P'(X+7,y)
Use same formula.
H(-4,-2) -------> P'(3,-2)
G(-5,3)-----------> G'(2,3)
F(-2,1)------------> F'(5,1)
Therefore, the answer is Option C.
Hope it helps..
Solve for the indicated variable x/9 - g = a for x
Answers
Answer:
x = 9(a+g)
Step-by-step explanation:
x/9 - g = a
Add g to each side
x/9 - g+g = a+g
x/9 = a+g
Multiply each side by 9
x/9 * 9 = 9(a+g)
x = 9(a+g)
Please I need this help?
Answers
Answer:
6.35
Step-by-step explanation:
Help please problem is worded weird
Answers
Answer:100
Step-by-step explanation:
Expand
x = 150 - 0.5x
Add 0.5x to both sides
x + 0.5x = 150
Simplify x + 0.5x to 1.5x
1.5x = 150
Divide both sides by 1.5
x = 150/1.5
Simplify 150/1.5 to 100
x = 100
Answer: the correct awnser is 100
Step-by-step explanation:
f(x) = 2x2 – 15
Find f(-2)
Answers
whats the product of 1.74 * 10^(6) and 2.55 * 10^(7)?
Answers
Answer:
use calculator duh
Step-by-step explanation:
Answer:
3.12*10^-9
Step-by-step explanation:
took the test
What is an equation of the line that passes through the points (-4, -1) and
(6,-1)?
Answers
Answer:
use the formula of two point form according to question
Answer:
y=-5x-1
Step-by-step explanation:
Solve for x.
x/2 = -5
x = 5/2
x = -5/2
x = -10
Answers
Answer:
x = -10
Step-by-step explanation:
x/2 = -5
Multiply each side by 2
x/2 * 2 = -5 *2
x = -10
HELP what is 0.8120^-2=y16
Answers
Answer:
1.6280
Step-by-step explanation:
. Move all terms not containing y y to the right side of the equation.
Which is bigger 0.625 or 1
I will give a brilliant!
Answers
Answer:
A
Step-by-step explanation:
the absolute value of a negative number is positive because the absolute value of a number is the distance from 0 on the number line, and distance is positive. -1 is negative, and positive numbers are larger than negative numbers, so |-5/8| is automatically larger.
PLZ HELP!!!!!!! A sequence is defined by the recursive function f(n + 1) = f(n) – 2.
If f(1) = 10, what is f(3)?
1
6
8
30...
Answers
Answer:
[tex]f(n + 1) = f(n) - 2 \\ n = 1 - - - - f(1 + 1) =f(1) - 2 \: \: \: - - - > \: \: f(2) = 10 - 2 = 8 \\ f(2) = 8 \\ n = 2 - - - - f(2 + 1) = f(2) - 2 \: \: \: - - - > \: \: \: f(3) = 8 - 2 = 6 \\ so \: f(3) = 6 \\ and \: we \: are \: done.[/tex]
Michael is saving to buy a car. He has 1/4 what he needs to buy the car. His savings account has a balance of $1000. How much more does he need to save?
Answers
Answer:
3000
Step-by-step explanation:
If you take the amount he already has (1000) and multiply by the reciprocal (4) you'll get $4000, the amount that the car costs. From there subtract the amount he already has (1000) and you get the amount he still needs (3000).
1/2 = q + 2/3
and
p - 3 1/6 = -18.73
please help, im giving 20 points
Answers
Answer:
see below
Step-by-step explanation:
1/2 = q + 2/3
Subtract 2/3 from each side
1/2 -2/3 = q+2/3-2/3
Getting a common denominator of 6
3/6 - 4/6 = q
-1/6 =q
p - 3 1/6 = -18.73
Add 3 1/6 to each side
p - 3 1/6 + 3 1/6 = -18.73 + 3 1/6
p = -18 73/100 + 19/6
Get a common denominator
p =- 5619/300 + 950/300
= -4669/300
=-15 169/300
A gardener has 8300 plants.he wants to plant these in such a way that the number of rows and the number of columns remain same.find the number of plants left out in this arrangement
Answers
Answer:
19
Step-by-step explanation:
[tex]\sqrt{8300} = 91.1043[/tex]
row x columns = total
91 x 91 = 8281 plants
8300 - 8281 = 19 plants left out of arrangement
What are the solution(s) of x2-4-0?
X=-4 or X-4
X=-2 or X= 2
X=2
X=4
Answers
Answer:
X = - 2 or X = 2
Step-by-step explanation:
*completing the square*
X^2 - 4 = 0
X^2 = 4
X = +-√4
x = +-2
x= -2, 2
*factoring*
X^2 - 4 = 0
(x-2)(x+2) = 0
|. |
x = 2, x = -2
________________________________
(x-2)(x+2) = x(x+2) - 2(x+2) = x^2 + 2x - 2x - 4 = x^2-4
8x-4=2(4x-4). Does this equation have only 1 solution?
Answers
Answer:
No, it has infinitely many solutions.
Step-by-step explanation:
The cost to purchase a song from iTunes is $1.29 per song. To purchase a song from
Napster, you must be a member. The Napster membership fee is $10. In addition, each
purchased song costs $1.19. How many songs must be purchased for the monthly price of
Napster to be the same as iTunes?
Answers
Answer:
It will take 100 purchased songs for iTunes and Napster to equal in price.
Step-by-step explanation:
iTunes: y=1.29x
Napster: y=1.19x+10
1.29x=1.19x+10
10=.10x
x=100
V= Bh/3 solve for h.
Answers
Answer:
h=3v/b
Step-by-step explanation:
Which expression is equivalent to 6(2x-8) *
A : 12x+48
B: 12x-8
C: 12x-48
D: 2x-48
Answers
Answer:
C.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
6(2x-8)
6 * 2x = 12x
6 * -8 = -48
12x - 48
