Which polynomials have 2 roots

Which Polynomials Have 2 Roots

Answers

Answer 1

Answer:

Option D

Step-by-step explanation:

Option A

x² - 3x² + 2x² = 0

Therefore, the given polynomial has no roots.

Option B

x² + 2x + 8

By quadratic formula,

x = [tex]\frac{-2\pm \sqrt{4-32} }{2}[/tex]

  = [tex]\frac{-2\pm \sqrt{-28} }{2}[/tex]

Therefore, roots are imaginary and for a polynomial with degree 1 or more than 1, both the roots can't be imaginary.

So the polynomial can't have exactly two roots.

Option C

99x³ - 33x + 1

Since the polynomial is of degree 3, so it will have three roots.

Therefore, the polynomial will not have exactly 2 roots.

Option D

√2x - 3x² + 7√2

By quadratic formula,

x = [tex]\frac{-\sqrt{2}\pm\sqrt{(\sqrt{2})^2-4(-3)(7\sqrt{2} )}}{2(-3)}[/tex]

x = [tex]\frac{-\sqrt{2}\pm\sqrt{2+84\sqrt{2} )}}{(-6)}[/tex]

There are exactly two real roots.

Therefore Option D is the answer.

Option E

4x + 11x - 111

Since this polynomial is of a degree 1.

There will be only one root.


Related Questions

Rectangle ABCD has points at A (4, −2), B(4, 4), C(8, 4), and D(8, −2). After undergoing a transformation, its new points are A'(2, −1), B'(2, 2), C'(4, 2), and D (4, −1). Is the new figure congruent to the old figure? Why or why not?

Answers

Answer:

The new figure is not congruent with the old figure. They are similar

Step-by-step explanation:

Transformations

We are given the vertices of rectangle ABCD and the vertices of rectangle A'B'C'D'.

It can be clearly noted all the coordinates of the second rectangle are half the value of the coordinates of the first rectangle.

This type of transformation corresponds to a dilation across the origin with a scale factor of 1/2.

Since the transformed rectangle is smaller than the first one, it cannot be congruent with it.

But since all the dimensions of this smaller rectangle are proportional to those of the bigger rectangle, they are similar.

I NEED HELP‼️
Select all relations that are functions.
{(3,2), (5,8), (2,-2)}
{(4,-2),(4,-3),(4,6)}
{(-1,2),(-2,2),(-3,2),(-4,2)}
{(-7,5).(6,-3).(5,8)}

Answers

Answer:

All but the second one

Step-by-step explanation:

The rule of a function is that you can't have the same x values in an expression. You can have multiple y values but not multiple x values.

Give the slope of any line that is perpendicular to the line y = -1/8 x + 5

Answers

Answer:

8

Step-by-step explanation:

To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope.  In this case we are already given the slope as the coefficient to x: -1/8.  The negative reciprocal of that is 8/1, or just 8.

How do u do this I am so confused please help!!

Answers

Answer:

x = √145

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify Variables

Leg a = 12

Leg b = x

Hypotenuse c = 17

Step 2: Solve for x

Substitute [PT]:                     12² + x² = 17²Isolate x term:                       x² = 17² - 12²Exponents:                            x² = 289 - 144Subtract:                                x² = 145Isolate x:                                x = √145

Solve problem in photo (8th math)

Answers

A hrhehrhrjrhrrhndndjd

In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.

Answers

Answer:

10

Step-by-step explanation:

The measure of an angle∠I  is 10 degrees between the 450 cm and 640 cm sides.

What is the Cosine Rule?

The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

c² = a² + b² − 2ab cos(C)

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.

In the given triangle ΔHIJ,

Sides:

h = 450 m

i = 210 m

j = 640 m

The angle of ∠I  is 10 degrees between the 450 cm and 640 cm sides.

According to the cosine rule,

j² = h² + i² − 2ab cos(I)

Substitute the values in the Cosine Rule,

450² = 210² + 640² - 2(210)(640)cos(I)

After solving we get the value of  angle ∠I :

∠I = 9.56038°

Rounded to the nearest degree.

∠I = 10°

Thus, the measure of an angle∠I  is 10 degrees.

Learn more the cosine rule here:

https://brainly.com/question/29717637

#SPJ2

Help I only got a limited time

Answers

Answer:

Red

Step-by-step explanation:

Y intercept is 1

Slope is -2 (line is going down so the slope is negative)

Answer:

the yellow box

Step-by-step explanation:

Does anyone else need to do Ed.genuity?

Answers

No, if you don’t mind what is that?

Can someone please help with this.

Answers

Answer:

92

Step-by-step explanation:

Sum of 2 interior angles= exterior angle so

148=56+h

h= 148-56

36 - (-4) + 5+ (-10) =

Answers

Answer:

=35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

remove parentheses, then solve

36 - (-4) + 5+ (-10) =

36 + 4 + 5 -10 // -(- turns into a plus. +(- stays the same, 10 remains negative.

35

hope this helps

which expression is equivalent to the given expression? 2x^2-14x+24

A.) 2(x-3)(x-4)
B.) 2(x-5)(x-2)
C.)(2x-12)(x-2)
D.)2(x-8)(x+3)​

Answers

A. Just gotta simplify it

Answer:

2(x-3)(x-4)

Step-by-step explanation:

i believe thats the answer

..............................................................................

Answers

thank you love <3 greatly appreciated.

if you scored 383 on the critical reading section on the SAT, what is your percentile

Answers

Answer:

20 percentile

Step-by-step explanation:

im sorry for your loss with your bad score.

Choose from the drop-down menus to match the trigonometric expression with its value. Sine StartFraction 2 pi Over 5 EndFraction cosine StartFraction pi Over 10 EndFraction + cosine StartFraction 2 pi Over 5 EndFraction sine StartFraction pi Over 10 EndFraction = Cosine 13 degrees cosine 47 degrees minus sine 13 degrees sine 47 degrees = Sine StartFraction 2 pi Over 5 EndFraction cosine StartFraction 8 pi Over 5 EndFraction + cosine StartFraction 2 pi Over 5 EndFraction sine StartFraction 8 pi Over 5 EndFraction =

Answers

Answer:

1

0.5

0

Step-by-step explanation: got it right on edge

Answer:

1

0.5

0

Step-by-step explanation:

just took it

5. There were 30
presents left on Santa's
sleigh. In an unfortunate
incident, in which
Rudolph was unavailable
to lead the sleigh on a
foggy Christmas Eve, 2/6
of the presents fell over
the side when Blitzen led
an evasive maneuver.
How many presents fell
off?

Answers

Answer:10 presents fell off

Step-by-step explanation: to find 2/6 we can start with finding 1/6 because it’s easier. To do that we divide 30 by 6 which equals 5. because 5 is 1/6 5x2 is 2/6 so the answer is 10

Answer:

you put 30 over 1 than you then you 2 over 6 then subtract then

Step-by-step explanation:

so it would look like this

30/1 - 2/6=

h e l p m e p l e a s e

Answers

Answer:

(x-4) is the common factor

Step-by-step explanation:

Answer:

x-4

Step-by-step explanation:

Which expressions have a value of 7? Select all that apply.

Answers

Answer:

G 42/6

H 2+5

K 7+0

L 7^1

Step-by-step explanation:

Here are the instruction plz help asap
Part 1
You will need to measure five different people. Record your measurements on a piece of paper. Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person.

(An easy way to measure the length of a foot is to have your subject stand on a piece of paper. Then, trace their foot and measure the outline once they move off the paper.)

To measure the forearm, measure inside the arm, between the wrist and the elbow.




Part 2
Organize your data and find the rate of change.

Create a table of the measurements for your data. Label the forearm measurements as your input and the foot measurements as your output.

Select two sets of points and find the rate of change for your data.

Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
Part 3
Compare rates of change.

The equation below can be used to find the length of a foot or forearm when you know one or the other.

(length of the foot) = 0.860 • (length of the forearm) + 3.302

If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.

Using this equation, how long would the foot of a person be if his forearm was 17 inches long?

What is the rate of change of the equation from Part A?

Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?

Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
For this option you will submit the details from all three parts. Submit your measurements, the table, and description that you created in Parts 1 and 2. Submit your answers to the questions from Part 3.

Answers

Answer:

again please don't just straight up copy it just use it as a base please also i tried my best and don't know if i got it right

Step-by-step explanation:

Part 2

Organize your data and find the rate of change.

I’m sorry i didn’t know how to make a table so i just did this  

Person number 1- Left foot is 9 inches Forearm is 8.5 inches

Person number 2- Left foot is 7.5 inches Forearm is 7 inches

Person number 3- Left foot  is 11 inches Forearm is 10.5 inches

Person number 4- Left foot: is 10 inches Forearm is 9.5 inches

Person number 5- Left foot  is 6 inches Forearm is 5.5 inches

The rate of change equals y=x-0.5

I believe that it's a function because there is a relationship between 2 variables.

Part 3

Compare rates of change.

The equation below can be used to find the length of a foot or forearm when you know one or the other.  

(length of the foot) = 0.860 • (length of the forearm) + 3.302

If you let y = length of the foot and x = length of the forearm, this equation can be simplified to

y = 0.860x + 3.302.  

Using this equation, how long would the foot of a person be if his forearm was 17 inches long?

i don’t know how to type all my formulas and work so i'm just going to say the answer i got the rate of change = 0.86x or y=0.86x+3.302  

What is the rate of change of the equation from Part A?

For Part A i got y=x-0.5 and that part A has the greater rate of change.

 

Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?

Well, the values have to be different because there are different rates of change and different linear coefficients; and also each input value will result in a different output value because they all have different parameters as well.  

Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.

Yes, it is a function because each input from part A fits well together with the output on the other set, which matches the definition of a function.

 

Answer:

11.9

Step-by-step explanation:

Is the point (10,-2) a solution to the equation y = -2x + 16? Explain,
??? pls answer

Answers

Answer:

no

Step-by-step explanation:

y = -2x + 16

-2 = -2(10) + 16

-2 = -20 + 16

-2 = -4

which is wrong

Plug the point (10,-2) into y = -2x + 16 and solve. If the equation is a true, then yes, it is a point on the equation.

y = -2x + 16 > -2 = -2(10) + 16

Now, solve.

-2 = -2(10) + 16 > -2 = -20 + 16  - Start by multiplying out parenthesis.

-2 = -20 + 16 > -2 = -4 - Add.

-2 = -4

The equation cannot be simplified any further. Since -2 is not equal to -4, we can conclude that no, (10,-2) is not a solution to the equation y = -2x + 16.

If 5 pounds of oranges costs $11.55, how much would it cost for 12 pounds of oranges?

Answers

Answer:

27.72

Step-by-step explanation:

Answer:

12 pounds of oranges would cost $27.72

PLEASE CHECK, THANK YOU

Me and my friends have made a you tube channel that helps you in math if you could please check it out, it is called Evimero Academy

PLEASEE HELP AND SHOW WORK IF YOU CAN​

Answers

Answer:

M=54.62

O=59.69

N=65.68

Step-by-step explanation:

M is the smallest, and N is the largest:)

you can use cossincalc . com !!

is someone willing to help me with my math homework? i really don’t understand :/

Answers

What is the homework?

Braden bought 3 books off of Amazon.

Each book was $16.95

Shipping was $5.20

What was the total amount Braden paid for the books?

Answers

Answer:

Braden payed $66.45

Step-by-step explanation:

(16.95+5.20)x3

22.15x36

66.45


Autumn went to the store with $20 in her bank account. She spent jeans that cost $14 and a t-shirt that costs $8. How much money is in her bank account now?

Answers

Answer:

She is 2 dollars in debt. Or $-2

Step-by-step explanation:

14 + 8= 22. She only had 20 dollars so the purchase she made left her with $-2


Pleaseee helpppp!!!!! I keep getting this answer wrong on the test :(

Answers

Next time study more! I know its hard but you can do it keep trying ur best :)

2 3/5 * 3 1/3
Just answer please

Answers

Answer: 8.66666666667

Step-by-step explanation:

Answer:

26/3 in the simplest fraction.

) Tina planted 75 plants. N plants did not grow leaving her with 48 plants. Which equation expresses how many plants Tina lost?​

Answers

Answer:

Step-by-step explanation: I think this is the answer

Tina planted 75 plants and only 48 grow

To know how much is lost we subtract 75 from 48 which gives us 27

75-48=27

11 + 16 + 4 = ????????????

Answers

Answer:

31! :D

Step-by-step explanation:

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If you want to join you can,

Good luck!!

God Bless!!

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Drugs+Kids=..................

Very tough question guys

Answers

Answer:

= desaster

Step-by-step explanation:

A space probe is launched from a platform that is just above 100 meters below sea level. The probe is expected to travel into deep space indefinitely. Write an equality showing the altitude of the probe after it is launched.

Answers

Answer:

x ≤ ∞

Step-by-step explanation:

Let x represent the height of the space probe above sea level in meters.

Initially, before launch, the space probe is launched from a platform that is just above 100 meters below sea level, hence:

x < -100 (the negative sign shows that it is below sea level).

After launch, The probe is expected to travel into deep space indefinitely. Therefore the height of the probe after it is launched is represented by the inequality:

x ≤ ∞

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