f (x) = x5 − 8x4 + 21x3 − 12x2 − 22x + 20

Three roots of this polynomial function are −1, 1, and 3 + i.

Which of the following describes the number and nature of all the roots of this function?


f (x) has two real roots and one imaginary root.

f (x) has three real roots.

f (x) has five real roots.

f (x) has three real roots and two imaginary roots.

Answers

Answer 1

Answer:

  f(x) has three real roots and two imaginary roots.

Step-by-step explanation:

The function is degree 5, so will have 5 roots in total. 2 real roots and one complex root are shown. Complex roots come in pairs, so there will be one more, but cannot be two more.

  f(x) has three real roots and two imaginary roots.

__

All five roots must be accounted for. This leaves out the first two choices. The given complex root eliminates the third choice.

Answer 2

Answer:

D

Step-by-step explanation:

did the test


Related Questions


A sequence is defined recursively as follows: a(1) = 1, and a(n)= a(n-1)+n
(a) How do you interpret this recursive rule?

b) Write down the rule for a(2),a(3), and a(4)
it down in your own words.
and determine their values.

Answers

Answer:

Step-by-step explanation:

a) The current term number is added to the previous term to get the current term.

__

b) Using n = 2, 3, 4 in the given formula, we have ...

  a2 = a1 +2 = 1 +2 = 3

  a3 = a2 +3 = 3 +3 = 6

  a4 = a3 +4 = 6 +4 = 10

The value of the current term is the sum of all positive integers up to the term number, that is, term n is the n-th "triangle number."

The bar chart shows the number of students with each letter grade in a certain professor's math classes. Since students need at least a C for the grade to transfer, the professor groups all grades that are less than C into one category instead of grouping D's and F's separately.

How many fewer students have less than C's than have C's?

A 212
B 612
C 123
D 89

Answers

Answer:

Since students need at least a C for the grade to transferdes that are less than C into one category instead of grouping D's and F's separately. How many ...

A would be correct in this situation! You had it right

Logan has an automatic hummingbird feeder in his backyard. He fills it to its capacity, 10 fluid ounces. Each day, it releases 1 fluid ounce of nectar.


Write an equation that shows how the number of fluid ounces of nectar remaining, y, depends on the number of days since Logan filled it, x.

Answers

Answer:

-1x+10

Step-by-step explanation:

The equation that shows how the number of fluid ounces of nectar remaining (y) depends on the number of days since Logan filled it (x) is:

y = 10 - x.

The relationship between the number of fluid ounces of nectar remaining (y) and the number of days since Logan filled the hummingbird feeder (x) can be represented using a linear equation.

Initially, when Logan fills the hummingbird feeder to its capacity of 10 fluid ounces, the nectar remaining is 10 fluid ounces.

As each day passes, 1 fluid ounce of nectar is released.

Therefore, the equation that shows how the number of fluid ounces of nectar remaining (y) depends on the number of days since Logan filled it (x) is:  y = 10 - x.

Here's an explanation of each component of the equation:

y: This represents the number of fluid ounces of nectar remaining.

As the days pass, this value will decrease as nectar is released.

10: This is the initial amount of nectar in the feeder when Logan fills it to its capacity of 10 fluid ounces.

x: This represents the number of days that have passed since Logan filled the feeder.

Each day, the amount of nectar decreases by 1 fluid ounce, hence the subtraction of "x."

This equation forms a linear relationship where the nectar remaining decreases by 1 fluid ounce for each day that passes.

To learn more on equation click:

https://brainly.com/question/14468218

#SPJ3

Sara has $65 and wants to buy the following items from a store. Board game: $14.95 Building blocks: $25.49 Art kit: $35.79 At the store, all items are one-fourth off of the original price and there is a 5% sales tax. Sara wants to know if she can buy all of these items. Which statement is TRUE?

Answers

The correct statement is Sara can afford to purchase the items because the final price of the items is $60.

The first step is to determine the total cost of the items Sara wants to buy. The total cost can be determined by adding the cost of the items together.

Total cost = $14.95 + $25.49 + $35.79 = $76.23

The second step is to determine the cost of the items after the discount.

Price of the items = total cost x (1 - discount)

= total cost x (1 - 1/4)

total cost x 3/4

$76.23 x 3/4 = $57.17

The third step is to determine the cost of the items after tax.

Cost = (1.05) x $57.17 =$60.03

Please find attached the complete question. To learn more about taxes, please check: https://brainly.com/question/25311567

why you always angry why you always quiet why do you sleep alone when I know you don't like it maybe you might be different will it kill you to tell me the truth what in the hell does a man have to do to be loved by you

Answers

Answer:

Beause you did love to be loved by you

Step-by-step explanation:

Maybe a spoon full of sugar will help but I'm not going to love you because love this pure is hard to find in world so scard from humanity and the hideous presence of me

What is the slope of the line?

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

m = slope

(x_1, y_1) = coordinates of first point in the line

(x_2, y_2) = coordinates of second point in the line

6 miles is approximately equal to 9 km. How many km are equal to 54
miles? How many miles are equal to 12 km?

Answers

Answer:

54mile equal to 81km

8mile equal to 12km

Find the domain and range of f... please help

Answers

The range is [tex]\boxed{-4 \leq y < 0}[/tex].

If the exchange rate is 1.5 U.S. dollars / 1 euro, how many U.S. dollars would be equivalent to 20 euros?


A. $1.50


B. $18.50


C. $30.00


D. $13.30

Answers

The answer is C because 1 times 20 is 20 and .5 times 20 is 10 then you get 30

Answer: C.) $30.00

Step-by-step explanation: If 1.5 U.S. dollars equals 1 euro, then 1*20 would be 20 euros. So then, you could multiply 0.5*20 to get 10. Finally, you add $10 + $20 to get $30 U.S. dollars.

0.5*20= $10

20+10= $30

please help ill mark brainliesta​

Answers

Answer: Neither

Step-by-step explanation:

y = -5/4 x + 3/4

y = 5/4 x + 3/4

Because -5/4 is not a negative reciprocal of 5/4 and because they are not the same, they are neither in parallel or perpendicular

A unique source of water pollution contributing to water quality problems in the Ganges River is: A. raw sewage. B. disease-causing organisms. C. zebra mussels. D. PCBs. E. ash from human cremations.

Answers

Is this a multiple choice answer? If not, the answer is E. Ash from human cremations

Ashley is keeping track of the miles she runs over the summer. Her goal is to run 600 miles over the summer. If she has run 230 miles so far, write an equation and solve for the number of miles she has left to run to reach her goal.

Answers

Answer:

600-230=L

Step-by-step explanation:

L means Left or What's left

Evaluate the function when x = -1,0, and 4.
9. g(x) = 3 -
X
g(-1) =
g(0) =
+
g(4) =



Plz help me I need the answer

Answers

Step-by-step explanation:

what is the problem ?

as indicated you only need to use the corresponding value as "x" in the formula and then just calculate the result.

g(-1) = 3 - 1/3 × -1 = 3 + 1/3 = 3 1/3 or 10/3 or 3.333...

g(0) = 3 - 1/3 × 0 = 3

g(4) = 3 - 1/3 × 4 = 3 - 4/3 = 9/3 - 4/3 = 5/3 or 1 2/3 or 1.66666...

Answer:

g(-1) = 3/2

g(0) = 3

g(4) = 1

Find an expression with represents the sum of 5X -8 and 2X +2 in simplest terms

Answers

Solution: 7x-6
Step by step solution:
5x-8+2x+2
Then combine like-terms
5x+2x+2-8
7x-6
Hope that helps :)

A nut mixture of peanuts and macadamia nuts at a small fair is $1.00 per pound of peanuts and $3.26 per pound of macadamia nuts. Over the
entire day, 131 pounds of the nut mixture were sold for $248.52. If p is the number peanuts and n is the number of macadamia nuts, then the
system of equations that models this scenario is:

p+n=131
P+3.26n = 248.52

ANSWER CHOICES:

(Please help it would mean everything to me. I’d give brainliest <3)

Answers

Answer:

D

Step-by-step explanation:

You can infer to the solution of this problem by looking at the choices. Hope this helped :)


[tex] \frac{1.3}{7.8} \: \frac{3}{18} [/tex]
Is this equivalent? ​

Answers

Answer:

Yes

Explanation:

1.3/7.8 = 0.167

3/18 = 0.167

An equivalent fraction is a fraction that is the same as another fraction with a different denominator.

I hope it helps.

how do i solve for this?

Answers

Step-by-step explanation:

1. KOL = 90

2.KLO = 25

3.NL= 30

4.KL = 17

workings

1.for angle

KOL =90 : the diagonals of rhombus are perpendicular to each other

2. angle LKO + angle KLO + angle KOL =180 : angles of triangle are supplementary(add to 180)

65+ KLO + 90 =180

KLO +155

KLO = 180 - 155

KLO = 25

3. NL = NO + LO: diagonals of the rhombus bisect each other

NL = 15 +15

NL = 30

4. Cos 25 = 15/KL

multiply by KL on both sides

KL × Cos 25 =15

divide by cos 25 on both sides

KL = 17

HELP PLEASE 20 POINTS

Answers

Answer:

a b and j?

Step-by-step explanation:

Write an equation and solve the sum of twenty one and five
times a number f is 61

Answers

21 + 5f = 61
5f = 40
f = 8

Expand and simplify

(7-3x) (6x + 1)

Answers

Answer:

-18x^2+39x+7

Step-by-step explanation:

7-3x + 6x + 1
7 + 1 + 3x
8 + 3x
Or 3x + 8
I hope this helps.

If Y = 13 inches, Z = 19 inches, H = 7 inches, and W = 3 inches, what is the area of the object?
A.
304 square inches
B.
123.5 square inches
C.
147 square inches
D.
190 square inches

Answers

Answer:

Step-by-step explanation:

Ask Siri

Question
The width of the rectangle is 40% of its length. What is the area of the rectangle?
The length is 20 feet. What is the anwser in feet squared

Answers

Answer:

  160 ft²

Step-by-step explanation:

The width is 40% of the length, so is ...

  0.40 × 20 ft = 8 ft

The area is the product of length and width:

  A = LW

  A = (20 ft)(8 ft) = 160 ft²

Hailey collected 215 cans and 475 newspapers for recycling. Each can weighs 15 grams. What is the total weight of the cans that Hailey collected?

? x 15 =?

Answers

Answer:

3225 grams

Step-by-step explanation:

215 x 15

Answer this by 4:20 EST and I will mark brainliest

Answers

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )

m = [tex]\frac{-4-a}{9-6}[/tex] = [tex]\frac{-4-a}{3}[/tex]

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide through by - 3 )

y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Parallel lines have equal slopes , then

[tex]\frac{-4-a}{3}[/tex] = [tex]\frac{2}{3}[/tex] , so

- 4 - a = 2 ( add 4 to both sides )

-a = 6 ( multiply both sides by - 1 )

a = - 6 → A

three hundred two times one hundred fifty three
302×153​

Answers

Answer:

46,206

Step-by-step explanation:

simple math

Answer:

the answer is 46,206

Step-by-step explanation:

Good luck!!!!

Find the slope. Use point-slope formula to write the equation of the line described. Simplify your equation to slope-intercept form.


Through (5,2), Perpendicular to y=-5/7x

Answers

I don’t know the awnser but hope u find it have a great day :)!!enjoy

Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in the simplest form


3/4 divided by 3

Answers

3/4 divided by 3 is 1/4.

Step-by-step explanation:

3/4 ÷ 3

recall that the inverse of division is multiplication

=3/4 x 1/3

=1/4

Using powers of 10, which would be the best choice for the first number to subtract in the division problem 14,941 ÷ 98?

Answers

Answer:

0.152

Step-by-step explanation:

A function is shown below.
f (x) = 83 - 11
What value of x makes f (20) = 21?
Enter your answer in the grid below.
please help!

Answers

Answer:

the answer is 4

Step-by-step explanation:

if y=21 the we substitute in the main equation

21=8x-11

8x=32

x=4

What three fractions are greater then 1/2 but less then 1

Answers

Answer:

5/8

6/7

2/3

Step-by-step explanation:

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