x³ + 3x² + 3x +5=0

What is the rational roots of this polynomial equation?

Answers

Answer 1

Answer:

x=-³√4-1

Step-by-step explanation:

x³+3x²+3x+5=0

(x+1)³+4=0

(x-1)³=-4

x+1=-³√4

x=-³√4-1

Answer 2
The Rational Roots Theorem states that the factors of the last constant term of the polynomial and factors of the coefficient of the fist term can be divided positively and negatively, which are the possible roots.

So, the last constant terms of the polynomial is 5, and the coefficient of the first term is 1, since x^3=1•x^3. Now, we must list all factors of 5 and 1.

5: 1, 5

1: 1

Because 5 is prime (5 has factors of 1 and itself) and 1 is simply a natural number, the division will be easy. Remember, the theorem states that we must divide 5 by 1 with all positive and negative factors, which will provide all the possible roots.

Possible roots: 1, 5, -1, -5

Related Questions

A rectangle has an area of 96 sq. ft. Find the width of the rectangle if the height is 8 feet?

Answers

96/8= 12 ft

Therefore the answer should be 12ft :)

The graph represents the piecewise function:

Answers

Okay this isn’t a answer , and if I knew any of this advanced math I would help . But are these files that people are commenting even safe ??

for brainiest:):):):):):):):):):):)

Answers

Answer:

34 yd for the perimeter. I mean you just add the sides together... So 8+2+3+7+5+9 = 34.

In October of 2010 it rained 4 inches. In October of 2011 it rained 2.6 inches. What is the percent decrease in October rainfall?

Answers

The percent decreased by 65%

What is the domain of the function graphed below?

Answers

Answer:

the answer is c

Step-by-step explanation:

Domain is [tex]{ x|x\neq -1,2,4}[/tex]

What is domain ?

The domain of a function is the complete set of possible values of the independent variable.

The domain is the set of all possible x-values which will make the function "work", and will output real y-values

We need to find the domain of the function graphed

Domain are the values of x for which the function is defined.

For domain, we look at the x values of the graph.

We have graph for x values  the graph goes close to x = -1 and x = 4 axis but does not cross x = -1 and x = 4axis. and at x =2 not define

So , domain is set of all x values  [tex]{ x|x\neq -1,2,4}[/tex]

Hence, domain is [tex]{ x|x\neq -1,2,4}[/tex]

To learn more about the domain here:

https://brainly.com/question/15378251

#SPJ7

please help!! area of parallelogram

Answers

24 Área= Length x Width so 8x3

You pick from cards at random 2 4 5 6 7 8 9 Which is P(prime)

Answers

Answer:

2, 3, 5, 7

Step-by-step explanation:

They are all prime

Answer: 2,3,7,5

Step-by-step explanation:

2 is an exeption for a prime number but 3,7,5 are only diviusible by 1 and itself

2. Find the length of AD if the length of AB is
14 units, the length of BC is 5 units, and the
length of CD is 8 units

Answers

Step-by-step explanation:

can you please show the picture too

Help????? I don’t know which is right

Answers

Answer:

C

Step-by-step explanation:

Given

tanθ = [tex]\frac{1}{2}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

This is a right triangle with legs 1 and 2

Using Pythagoras' identity

hypotenuse² = 1² + 2² = 1 + 4 = 5 ( take square root of both sides )

hypotenuse = [tex]\sqrt{5}[/tex]

θ is in the 3rd quadrant where sinθ < 0 , then

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{1}{\sqrt{5} }[/tex] ← rationalise the denominator

       = - [tex]\frac{1}{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]

       = - [tex]\frac{\sqrt{5} }{5}[/tex] → C

Find the areas of the trapezoids

Answers

Answer:

12 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 4 ( perpendicular distance between the bases ) and

b₁ = SR = 2, b₂ = TA = 4 , then

A = [tex]\frac{1}{2}[/tex] × 4 × (2 + 4) = 2 × 6 = 12 units²

In circle O, mZR = 23. Find mzo. (The figure is not drawn to scale.)
e
R
O 46
23
67
157

Answers

Answer:

A. 46

Step-by-step explanation:

m<R=23

m<NQ=2(23)=46

m<O=m NQ =46

hope it helps....

✎Answer:〘 46 〙

✏---------------

m∠R=23mNQ=2(23)=46m∠O=m NQ=46

➜➜➜➜➜➜

hope it helps

have a great day!!

HELP HELP HELP!! ILL MARK BRAINLIEST

Answers

Answer: i think its the 3rd one

Step-by-step explanation:

the answer of √ 9+4√5 is?​

Answers

Answer:

3 + 4√5   or    11.94    

Step-by-step explanation:

√ 9+4√5

√9 = 3

3 + 4√5

Justin conducted a survey to find out people's favorite sport and recorded the results below. If Justin were to survey a total of 250 people, how many would you predict would name basketball?

Answers

Answer:

100 people

Step-by-step explanation:

In the attached image below we can see that the original survey was done on a total of 50 individuals (12 + 3 + 20 + 15 = 50). Out of these 50, 20 of them answered basketball.

20 / 50 = 0.40 ... multiply by 100 to get percentage

0.40 * 100 = 40%

We can see that this is 40% of the original survey sample population. If we use this same percentage, we can predict how many individuals out of 250 would answer basketball. We calculate this by multiplying 250 by 40% in decimal form, like so...

250 * 0.40 = 100

Finally, we can predict that 100 people would most likely answer basketball.

help me please!!!

What is the value of -3x^5+ 2x^2+ x -5 when x = -1

Answers

Answer:

-1

Step-by-step explanation:

Plug in calculator

-3(-1)^5+2(-1)^2-1-5 = -1

students make a rectangular banner that is 2 feet 6 inches wide and 84 inches long what is the perimeter

Answers

Answer:

6 + 2 = 8 which is the width.

8 + 8 = 16

84 + 84 = 168

168 + 16 = 184 in

Answer:

228 inches

Step-by-step explanation:

2 feet 6 inches = 30 inches

2(30in+84in) =228 in

A serving of dried fruit is 1/5 cup. A bag contains
9/10
cup of dried fruit. Which
division expression can you use to find the number of servings in the bag:
1/5 divide 9/10 or 9/10 divide by 1/5 ? Explain your reasoning.

Answers

Answer:

9/10 divide by 1/5

4 1/2 cups

Step-by-step explanation:

Serving of dried fruits = 1/5 cups

Bag of dried fruits = 9/10 cups

Expression that can be used to find the number of servings in the bag = Bag of dried fruits / Serving of dried fruits

= 9/10 ÷ 1/5

= 9/10 × 5/1

= (9* 5) / (10 * 1)

= 45/10

= 4 5/10

= 4 1/2 cups

9/10 divide by 1/5

Jordan is making a paddleball court. The court consists of a wall outlined by 40 m of paint. What dimensions will maximize the area of the paddleball court?

Answers

Answer:

L = 10m

And, W = 20m

Step-by-step explanation:

The computation is shown below:

Given that

2L + W = 40 m

Also we know that

Area = Length × width

= L × ( 40 - 2L)

= 40L - 2L^2

= -2(L^2 - 20L)

= -2(L^2 - 20L + 100 - 100)

= -2(L^2- 20L + 100) + 200

= -2(L - 10)^ + 200

So

L = 10m

And, W = 20m

can you help me i will mark if i can

Answers

Answer:

i think it is d

Step-by-step explanation:

Select all the expressions that equal 6 to the power of-10.


6−5⋅62


(16)5


(6−5)2


6−367


65⋅6−36−8

Answers

Answer:

I will say answer A but I don't know

Step-by-step explanation:

Last week, an information centre had 950 visitors. This week it had 1026 visitors. What is the percentage increase?

Answers

Answer:

8%

Step-by-step explanation:

Find the percent increase by dividing the difference in visitors by the original amount, then multiply it by 100

(76/950) x 100

= 8

So, the percent increase is 8%

What is the solution, and independent and dependent veribles?

Answers

Answer:

The independent variable is the cost of the item ([tex]d[/tex]), whereas the dependent variable is the change ([tex]c[/tex]) received by Darrel, since that quantity is calculated by subtracting the cost of the item from the value of the bill. The equation is the following linear equation: [tex]c = 20.00 - d[/tex]

Step-by-step explanation:

The independent variable is the cost of the item ([tex]d[/tex]), whereas the dependent variable is the change ([tex]c[/tex]) received by Darrel, since that quantity is calculated by subtracting the cost of the item from the value of the bill. The equation is the following linear equation: [tex]c = 20.00 - d[/tex]

Help me fast please

Answers

Answer:

I think the answer is

Step-by-step explanation:

50 feet tall

of/what=of/what
6/8=x/48
Cross multiply
x=36
The answer is 36
To check: 3/4=.75
36/48=.75

Matthew wants to purchase a new couch, but he does not have enough money in his bank account to pay for one.

Which of these is not an option for Matthew?


He can save money and write a check once there is enough money in his account.

He can use his debit card to purchase the couch now.

He can use his credit card to purchase the couch now.

He can save money and pay cash once he has enough.

Answers

Answer:

He can use his debit card to purchase the couch now.

Step-by-step explanation:

Un cilindru circular drept are raza bazei egală cu 27 , iar înălțimea cilindrului este egală cu 11 . (unitatea de măsură o alegi tu). De aflat aria totală și volumul cilindrului. VA ROG URGENT

Answers

Answer:

1) 6447,55 unități pătrate

2) 25192,43 unități cubice

Step-by-step explanation:

1) Suprafața totală a unui cilindru

Formula = 2πr (r + h)

r = 27 de unități

h = 11 unități

Suprafața totală = 2 × π × 27 × (27 + 11)

= 6446.54813 unități pătrate

Aproximativ = 6447,55 unități pătrate

2) Volumul cilindrului

Formula = πr²h

= π × 27² × 11

= 25192,43 unități cubice

What is (0, 2) reflected over the x-axis

Answers

Answer:

(0,-2)

Step-by-step explanation:

plot the point and reflect it over the x axis

Use the scatter plot of car resale values to answer the following question.
A graph titled Car Resale Values has age of car on the x-axis, from 0 to 10 in increments of 2, and percentage of sticker price on the y-axis, for 0 to 100. A line of best fit goes through points (2, 80) and (9, 20).
What can you say about the correlation between the age of a car and its resale value?
a.
The trend line slopes downward from upper left to lower right, so there is a negative correlation between a car’s age and its resale value.
b.
The trend line slopes downward from upper left to lower right, so there is a positive correlation between a car’s age and its resale value.
c.
The trend line slopes upward from lower right to upper left, so there is a positive correlation between a car’s age and its resale value.
d.
There is no correlation between a car’s age and its resale value.



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

taking the practice assignment

Audria rode her bicycle for 2 hours. She drove a total of 21 miles. At this rate, how many miles will she bike in ½ hour? A 612 6 1 2 B 634 6 3 4 C 534 5 3 4 D 514

Answers

Answer:

5 1/4

Step-by-step explanation:

Speed = distance / time

21 / 2 = 10.5

10.5 = distance / 0.5

distance = 10.5 x 0.5 = 5,25 miles or 5 1/4

What's the domain and range of the exponential growth function? (please help asappp no spam please or links or anything like that!!! will give brainliest)
Domain: All real numbers; Range: All real numbers

Domain: x > –2; Range: y > –2

Domain: x < –2; Range: All real numbers

Domain: All real numbers; Range: y > –2

Answers

Answer:

Domain: All real numbers; Range: y > –2

Step-by-step explanation:

The function can take every x value, but does not reach values less than -2.

ū= (5,8)
Find the direction angle of ū.
Enter your answer as an angle in degrees between 0 and 360° rounded to the nearest hundredth.

Answers

Assuming the angle made by a vector refers to the angle it makes with the positive horizontal axis, take the dot product of u with the vector (1, 0), and recall that

a • b = ||a|| ||b|| cos(θ)

where θ is the angle made by the vectors a and b. Then

u • (1, 0) = ||u|| ||(1, 0)|| cos(θ)

We have

u • (1, 0) = 5×1 + 8×0 = 5

||u|| = √(5² + 8²) = √89

||(1, 0)|| = √(1² + 0²) = √1 = 1

so that

5 = √89 cos(θ)

cos(θ) = 5 / √89

θ = arccos(5 / √89) ≈ 57.99°

Other Questions
help me besties PLEASE ;-; The function y=-0.2x^2+1.9x models the path of a kicked soccer ball.The height is y,the distance is x, and the units are meters.How high does the soccer ball go? Which of the following rules represents the set of ordered pairs?{(5, -1), (3, 7), (1, 15), (0, 19)}( x ) = -2 x - 5( x ) = 8 x - 23( x ) = -4 x + 19 simplify fully: 12/5b + 3/10ab Julio bought a backpack for $40. The sales tax on his purchase was 6%. How much did Julio do the backpack cost, Julio, including tax PLS ANSWER QUICKA recipe for a batch of muffins calls for 1/3 cup of sugar, 3/4 cup of flour, and 1/2 cup of milk. How many total cups of sugar, flour, and milk will be needed for three batches of muffins?NO LINKS I WILL REPORT Under which condition will the atmospheric pressure be greater. When the air is cold, or when the air is warm If I invest $1,000 at an 8.5% interest rate, how much money will I earn over 6 years? Find the degree of the polynomial 3x + x +3. What structural units make up ionic solids?O A. MoleculesB. Nonmetal atomsO C. Metal atomsO D. lons what inspired prithvi narayan shah for unification of Nepal Tell whether the following binomial is a factor of the polynomial binomial- (x+8)Polynomial- x^5-8x^4+8x-64Please help :) Ez hw for my lil sis what i 4 13/20 as a decimal? what are the positive aspects of using first person narrative Company X tried selling widgets at various prices to see how much profit they wouldmake. The following table shows the widget selling price, x, and the total profitearned at that price, y. Write a quadratic regression equation for this set of data,rounding all coefficients to the nearest tenth. Using this equation, find the profit, tothe nearest dollar, for a selling price of 24.25 dollars. define compulsory in your own words and give an example A line has a slope of 6 and a y-intercept of 9. What is its equation in slope-interceptform? Unlike 2D characters, 3D figures havelines and shapesdepth and texturecolor and shadowspace and background Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.x + y - z = -22x - y + 3z = 9x - 4y - 2z = 1