what is the correct answer?

What Is The Correct Answer?

Answers

Answer 1

Answer:

Option (3)

Explanation:

From the graph attached,

Zeros of the function are, x = -3,

Graph of the polynomial touches x axis at x = -3, 1 and 3

Therefore, equation of the given function will be in the form of,

P(x) = [tex]k(x+3)^a(x-1)^b(x-3)^c[/tex]

Since, graph of the function just touches the x-axis, multiplicity of zero at x = -3 will be even and crosses x-axis so the multiplicity at x = 1 and 3 will be odd.

Therefore, possible function will be,

P(x) = [tex]k(x+3)^2(x-1)(x-3)[/tex]

Since, y-intercept of the function is at (0, -3),

P(0) = k(0 + 3)²(0 - 1)(0 - 3)

-3 = 27k

k = [tex]-\frac{3}{27}=-\frac{1}{9}[/tex]

Therefore, given polynomial function is,

P(x) = [tex]-\frac{1}{9}(x+3)^{2}(x-1)(x-3)[/tex]

Option (3) will be the correct option.


Related Questions

how are the variables speed and velocity different? how are they similar

Answers

Speed, (scalar quantity), is the rate at which an object covers distance. The average speed is the distance (scalar quantity) per time ratio. Velocity is the rate at which the position changes. The average velocity is the displacement or position change (vector quantity) per time ratio.

How many oxygen atoms are present in 2.28 moles of nitric
acid, HNO3 ?
a 4.12 x 1024 O atoms
b 7.29 x 1023 O atoms
c 4.58 x 1023 O atoms
d 1.37 x 1024 O atoms

Answers

Answer:

A

Explanation:

4.12×1024atoms. i thinkdat helped

True or False. The two metals in a battery are the electrolytes.
True
False

Answers

Falseeeeeeeeeeeeeeeeeeeeeeeeeeeee
That is false because there is no electrolytes in metal

which or the following describes the shape of the Mid-Atlantic ridge?

Answers

Answer: The ridge formed by the same process that pushed the continents apart.

The higher the ____ of the radio wave the more information it can carry
Wavelength
Frequency
Amplitude
Pitch

Answers

Answer:

frequency

Explanation:

Please select the best answer from the choices provided


A
B
C
D

Answers

D hi hi hi hi hi hi g u hudiikekoow the answer is D

Answer:

D hope this helps plz mark brainliest

Explanation:

If you plan to exercise every day what is something you can do to make it more convenient so that you exercise more regularly? pls answer quickly

Answers

Answer: exercise doing something you like. for example if you like dancing incorporate dancing in your workouts so you will be more likely to do it regularly

Explanation:

Consider an elevator carrying Kermit the frog weighing 4000.0 N is held 5.00 m above a spring with a force constant of
8000.0 N/m. The elevator falls onto the spring while subject to a frictional force (brake) of 1000.0 N. Determine the
maximum compression distance, x, of the spring.

Answers

Answer:

The maximum compression distance of the spring is 0.375 m

Explanation:

The given parameters are;

The weight of the elevator and the frog = 4,000.0 N

The location of the elevator above the spring = 5.00 m

The force constant of the spring, k = 8,000.0 N/m

The frictional force of the brakes = 1,000.0 N

The net force, F, of the elevator on the spring is F = 4,000.0 N - 1,000.0 N = 3,000.0 N

F = 3,000.0 N

The maximum compression distance of the spring, x is given as follows;

F = k × x

Substituting the known values gives;

3,000.0 N = 8,000.0 N/m × x

∴ x = (3,000.0 N)/(8,000.0 N/m) = 0.375 m

x = 0.375 m = 37.5 cm

The maximum compression distance of the spring, x = 0.375 m.

an arrow moving 48.3 m/s has 5.22 kg*m/s of momentum. what is it's mass?

Answers

Answer:

0.11 kg

Explanation:

The mass of the arrow can be found by using the formula

[tex]m = \frac{p}{v} \\ [/tex]

p is the momentum

v is the velocity

From the question we have

[tex]m = \frac{5.22}{48.3} \\ = 0.108074...[/tex]

We have the final answer as

0.11 kg

Hope this helps you

what is the only mammal that drinks another mammal milk giving 100 points

Answers

Answer:

Humans

Explanation:

They are the only ones they drink cows milk and others

Answer:

human beings

Explanation:

human beings consume cow's milk , both HUMANS and COWS are mammals

Bullets spin when shot from a rifle or handgun. What causes this spinning?

Answers

Answer:

The spark from the primer ignites the gunpowder. Gas converted from the burning powder rapidly expands in the cartridge. The expanding gas forces the bullet out of the cartridge and down the barrel with great speed. The rifling in the barrel causes the bullet to spin as it travels out of the barrel.

Explanation:

An object falls from rest at a rate of 10 m/s/s. How fast was it traveling
after 3 seconds of fall?

Answers

Answer:

Explanation:

If dropped from a position of rest, the object will be traveling 9.8 m/s (approximately 10 m/s) at the end of the first second, 19.6 m/s (approximately 20 m/s) at the end of the second second, 29.4 m/s (approximately 30 m/s) at the end of the third second

How did the M87 galaxy become so large?? I will mark brainlest.!!

Answers

it’s growth is due to absorbing of interstellar matter gained from eating the smaller galaxies near it.

Answer:

I think a black hole sucked up some other galaxies and spit them out there

Explanation:

On a distance vs. time graph, how do you know when the object is moving away from its starting position?

Answers

U know by if they are in first place

Answer:

u look at em .<.

Explanation:

lol sorry im just bored

URGENT!!!

Calculate the frequency of violet light if the wavelength in air is 430nm.

* speed.of violet light in the prism = 2×10^8 m/s
* 1nm = 10^-9
* velocity of light in air = 3×10^8 m/s

Please show working out.!​

Answers

Answer:

6.98 × 10^(14) Hz

Explanation:

wavelength in air; λ_o = 430nm = 430 × 10^(-9) m

Speed of violet light in the prism; v = 2 × 10^(8) m/s

Speed of light in air = 3 × 10^(8) m/s

To get the frequency, we will use the relationship;

f = c/λ_o

Plugging in the relevant values;

f = (3 × 10^(8))/(430 × 10^(-9))

f = 6.98 × 10^(14) Hz

A bus travels at a constant speed. it stops for a short time and then travels at a higher constant speed. draw a distance-time graph for this journey.

Answers

Answer:

See the explanation below.

Explanation:

Since the bus travels at a constant speed, we can use the following equation.

[tex]x=x_{o}+v*t[/tex]

where:

x = final position [m]

xo = initial position = 0 (if the bus starts from some reference point)

v = constant velocity [m/s]

t = time [s]

Let's take some data as an example and then graph them.

v = 2 [m/s]

t = 2 [s]

That is, after two seconds, the final position will be:

[tex]x = 0 + 2*2\\x = 4 [m][/tex]

After the two seconds, the bus stops for about 2 seconds more. Then the bus will go with a velocity of 4 [m/s] for two seconds more.

So the total time is 6 [s].

Let's draw the x-t graph.

We see that the position changes during the first two seconds, from a position 0 to 4 [m]Then the bus stops for two seconds, that is, for 4 seconds the bus has traveled 4 meters.Then the bus moves to 4 [m/s], for 2 more seconds. That is, the bus will have moved up to 6 seconds.

And the final offset must be calculated using the same equation.

[tex]x = x_{0}+v*t\\x = 4+4*(6-4)\\x = 4 +8\\x = 12 [m][/tex]

Jupiter has the strongest gravity of any planet in our solar system. Which quantity will be a maximum there?
A. Density
B. Weight
C. Volume
D. Mass

Answers

weight will be maximum there

PLEASE HELP ME I NEED THIS!!!!
Two ice skaters are at rest, Andy
and Brenda. Andy has a mass of
62.5 kg. They push off each other.
After, Andy moves 1.59 m/s east,
while Brenda moves 2.22 m/s west.
What is Brenda's mass?

Answers

44.76

There are two options for formulas to use here, both work.

0=(m1)(V1f)+(m2)(V2f)

Or

(m1)(V1f)=—(m2)(V2f)

Both formulas should give you the answer of 44.763514, which can be rounded to the specifications of whatever you need it for.

Blessings in the Name of Jesus Christ our Lord!

1. How many laws of motion did Newton develop?​

Answers

Answer:

Three laws

Explanation:

Three laws of motion that Newtown developed.

If you give Adam an ice cream cone after he eats all his vegetables you are using
A) Positive reinforcement
B) Punishment
C) Negative reinforcement
D) Extinction

Answers

Answer:

A. positive reinforcement

Explanation:

Assuming Adam dislikes veggies and likes ice cream...

Adam is being conditioned to eat his vegetables via positive reinforcement.

Punishment would be a negative result from eating him vegetables.

Negative reinforement is pretty much the same thing as punishment.

Extinction would mean he stopped getting what he wanted for the action he didn't like (eating veggies) and stopped doing it.

The kettle is filled with 5.0 kg of water at 20 °C. The specific heat capacity of water = 4 200 J/Kg °C. Calculate the energy needed to raise the temperature of the water to 100 °C. Give your answer to 2 s.F.

Answers

Answer:

17 * 10^5 J

Explanation:

From;

H= mcΘ

where;

m = mass of water = 5.0 Kg

c = heat capacity of water = 4 200 J/Kg °C

Θ = temperature rise = 100 °C - 20 °C = 80°C

Substituting values;

H = 5 * 4 200 * 80

H = 17 * 10^5 J

If an object reflects all of the wavelengths of visible light you would see what color

Answers

Answer:

white

An object has the color of the wavelengths it reflects. A material that reflects all wavelengths of visible light appears white. A material that absorbs all wavelengths of visible light appears black. A green lime absorbs most wavelengths but reflects green, so the lime looks green, as shown below.

Explanation:

hope that helps.

1) If a sound with the same amplitude and energy is propagated at a source, predict through which medium the sound will travel the fastest and provide reasoning

Answers

Answer:

denser media the speed is greater

Explanation:

The speed of sound is given by the relation

  [tex]v= \sqrt{\frac{B}{\rho} }[/tex]

where B is the volume modulus and ρ the density of the medium

When analyzing the previous expression, the amplitude of the sound depends on the energy carried by the wave.

Wave speed, is given by the relationship between two magnitudes, we analyze their values ​​for different media. The volume modulus for gases has values ​​of the order of 10⁵ Pa, for liquids of the order of 10⁹ Pa and for solids of 10¹⁰ to 10¹¹ Pa, while the density has values ​​of the order of 10⁻¹ to 10⁰ kg / m³ for gases for liquids 10³ kg / m³ and for solids of the order of 10³ to 10⁴ kg / m³

 

let's find the order of magnitude of the speed of sound

Gases

     v =√ 10⁵/10⁰ = 300 m / s

liquids

     v =√ 10⁹/10³ = 1000 m / s

solid

     v = √ 10¹¹/ 10⁴ = 3000 m / s

We can see that in denser media the speed is greater

how fast must a 1000 kg car be moving to have a kinetic energy of 2.0×10^5j​

Answers

Answer:

E=0.5 m v^2

2*10^-5 = 0.5 1000*v^2

4*10^-5=1000v^2

4*10^-8=v^2

2*10^-4 =v

Answer:

20m/s

Explanation:

Ek=1/2(m)(v)^2

Ek=2.0x10^5

m=1000kg

v=?

2.0x10^5=1/2(1000)v^2

(2.0x10^5)/(0.5x1000)=v^2

[tex]\sqrt{400}[/tex]=v

20m/s=v


Match each situation

Answers

A: is potential
C: is losing kinetic energy and gaining potential energy
B: kinetic energy is at its highest
D: is loosing potential energy and gaining kinetic energy

If a 2 pound ball and a 1 pound ball were dropped from the same height at the
same time, which one would hit the ground first? Explain why.

Answers

Answer:

Im not sure and someone should double check me

Explanation:

The two pound ball because it's heavier and gravity would pull it down faster

If a 2 pound ball and a 1 pound ball were dropped from the same height at the same time, both of them will fall in same time due to acceleration of free fall is same for both of them.

What is  free fall?

Any motion of a body in which gravity is the only force acting on it is referred to as free fall in Newtonian physics. A body in free fall has no force acting on it according to general relativity, where gravitation is reduced to a space-time curvature.

An object may not necessarily be falling down in the traditional sense of the word while it is in a "free fall" in a technical sense.

As  acceleration of free fall is same for both of them, when a 2 pound ball and a 1 pound ball were dropped from the same height at the same time, both of them will fall in same time.

Learn more about free fall here:

https://brainly.com/question/29769460

#SP2

I need help with these. Please show workings

Answers

Answer:

Imp = 25 [kg*m/s]

v₂= 20 [m/s]

Explanation:

In order to solve these problems, we must use the principle of conservation of linear momentum or momentum.

1)

[tex](m_{1}*v_{1})+(F*t)=(m_{1}*v_{2})[/tex]

where:

m₁ = mass of the object = 5 [kg]

v₁ = initial velocity = 0 (initially at rest)

F = force = 5 [N]

t = time = 5 [s]

v₂ = velocity after the momentum [m/s]

[tex](5*0) +(5*5) = (m_{1}*v_{2}) = Imp\\Imp = 25 [kg*m/s][/tex]

2)

[tex](m_{1}*v_{1})+(F*t)=(m_{1}*v_{2})\\(0.075*0)+(30*0.05)=(0.075*v_{2})\\v_{2}=20 [m/s][/tex]

Hey There!_____________________________________Question 1)_____________________________________DATA:

Force = F = 5N

time = t = 5 seconds

mass = m = 5 kg

momentum = p = ?

_____________________________________SOLUTION: IMPULSE FORCE:

The force which acts for a very short period of time is called impulse force. It is given by,

                                      I = F x t

Where,

              I is impulse

              F is force

              t is time till which force is exerted

The impulse experienced by the object equals the change in momentum of the object. In equation form,

                                    F x t = M x ΔV

 So,

                     F x t = Final momentum - initial momentum

                     F x t = final momentum - (0)

initial momentum is zero because the object was initially at rest.

                     Final momentum = 5 x 5

                     Final momentum = 25 [tex]kgms^{-1}[/tex]

So B is the answer

_____________________________________Question 2) _____________________________________DATA:

Force = F = 30 N

time = t = 0.05 seconds

mass = m = 0.075 kg

V = ?

_____________________________________SOLUTION:

impulse force is given by,

                                      I = F x t

Where,

              I is impulse

              F is force

              t is time till which force is exerted

The impulse experienced by the object equals the change in momentum of the object. So,

                                    F x t = M x ΔV

 So,

                     F x t = Final momentum - initial momentum

                     F x t = final momentum - (0)

Since it was at rest initially, initial momentum is zero.

Momentum is given by,

                                p = m x V

where,

           p is momentum

           m is mass

           v is velocity

So,

                 F x t = m x V

Rearrange the equation,

                                        V = [tex]\frac{Fxt}{m}[/tex]

                                        [tex]V = \frac{(30)x(0.05)}{0.075} \\\\V = 20 m/s[/tex]

So C is the answer

_____________________________________Best Regards,'Borz'

Calculate the kinetic energy of a 750 kg compact car moving at 50 m/s​

Answers

935,500 joules because when we use the KE formula KE=1/2mv^2;
KE=1/2(750)(50)^2
KE=375(2500)
KE=935,500 Joules
i got it off another answer on brainly so i’m sure it’s right! i hope it helps

Answer:

[tex]E_{KE}=937,000 J[/tex]

Explanation:

the formula for Kinetic Energy is [tex]E_{KE}=\frac{1}{2}mv^2\\[/tex]

by plugging in the mass and velocity

[tex]E_{KE}=\frac{1}{2}*750*50^2[/tex]

[tex]E_{KE}=937,000[/tex]

Student swings a small rubber stopper attached to a string over her head in a horizontal, circular path. The string is 1.50 meters in length and the rubber stopper makes 120 complete circles every minute.

Answers

Answer:

v = 18.84 m/s

Explanation:

Given that,

The length of the string, r = 1.5 m (it will act as radius)

The rubber stopper makes 120 complete circles every minute.

Since, 1 minute = 60 seconds

It means, its frequency is 2 circles every second.

Let we need to find the average speed of the rubber stopper. It can be calculated as follows :

[tex]v=\dfrac{d}{T}[/tex]

d is distance, [tex]d=2\pi r[/tex] and 1/T = f (frequency)

[tex]v=2\pi rf\\\\=2\pi \times 1.5\times 2\\\\=18.84\ m/s[/tex]

So, the average speed of the rubber stopper is 18.84 m/s.  

According to the Theory of Plate Tectonics, which of the following statements is correct?


a. Earth’s outer layer is cool and rigid.
b Earth’s outer layer is divided into large pieces called plates
c. Earth’s plates never move
d. The two first answer choices are both correct

Answers

Answer:

It's D. The geothermal energy from Earth's core loses most of its heat before reaching the outer layer. The plates on the outer layer have been proven to be moving due to evidence such as earthquakes, volcanic eruptions, and tsunamis.

Explanation:

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