You can use a system of equations to graph and solve the polynomial equation 3 x cubed + x = 2 x squared + 1. Which statement is true? The system has one solution, and the equation has three zeroes. The y-coordinates of the solutions to the system and the zeroes of the equation are not equal. The x-coordinates of the solutions to the system and the zeroes of the equation are not equal. The equation has one zero, and the system has three solutions.

Answers

Answer 1

The equation has one zero, and the system has three solutions ( 1 real and 2 complex solutions).

Solution of the polynomial equation

The solution of the polynomial equation is determined as follows;

3x³ + x = 2x² + 1

3x³ - 2x² + x - 1 = 0

[tex]3(x - \frac{2}{9} )^3+ \frac{5}{9} (x - \frac{2}{9} )- \frac{205}{243} = 0\\\\x = 0.78 \ (one \ real \ solution)\\\\x = -0.058-0.65i\\\\x = -0.058+0.65i \ \ (2 \ complex \ solutions)[/tex]

Thus, we can conclude that the equation has one zero (real solution), and the system has three solutions ( 1 real and 2 complex solutions).

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Answer 2

Answer:

B

Explanation:

Answer from unit test review edge 2022


Related Questions

A ball thrown vertically upwards from ground
level hits the ground after 4 s. Calculate the
maximum height it reached during its journey.
(SC/GCE)

Answers

parabolic motion

[tex]\tt t_{max}=\dfrac{2u~sin~\alpha }{g}[/tex]

[tex]\tt h_{max}=\dfrac{u^2sin^2\alpha }{2g}[/tex]

vertically upwards ⇒ α = 90°⇒sin 90° = 1

[tex]\tt 4=\dfrac{2u}{10}\rightarrow u=20~m/s[/tex]

[tex]\tt h_{max}=\dfrac{20^2}{2.10}=\boxed{\bold{20~m}}[/tex]

Why is it not possible to achieve a higher resolution in the light microscope?.

Answers

Explanation:

Because resolution of the light microscope cannot be small than the half of the wavelength of the visible light

The F-35B Lightning II is a short-takeoff and vertical landing fighter jet. If it does a vertical takeoff to 20.00-m height above the ground and then follows a flight path angled at 26o with respect to the ground for 25 km, what is the final displacement in meters

Answers

The final displacement of the F-35B Lightning fighter jet is determined as 24,991.2 m.

Displacement of the flight

The displacement of the flight is calculated from triangle method of vector addition as follows;

Let the vertical take off =  first length of triangleLet the flight path at 26⁰ = second length of triangleLet the displacement = third side of triangle

Angle between the first two sides = 90 - 26⁰  = 64⁰

r² = a² + b² - 2abcosR

r² = 20² + 25000² - (2 x 20 x 25000) x cos(64)

r² = 624,562,028.9

r = 24,991.2 m

Thus, the final displacement of the F-35B Lightning fighter jet is determined as 24,991.2 m.

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describe one example of how a person's religious faith associated with a world religion can be seen in an incident from their life.

Answers

Answer:

The Crusades, the many periods of persecution of Jews, religious conflicts between Catholics and Protestants in sixteenth- and seventeenth-century Europe, the execution of hundreds of Christians in seventeenth-century Japan, the Mormon expulsion from Missouri and Illinois in the 1840s, the Branch Davidian conflagration

Nina and ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start?.

Answers

"Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left." In the event of things, Ryan had a headstart of 10min. This is further explained below.

What is headstart?

Generally, headstart is simply defined as a head start is a benefit received or awarded from the outset.

In conclusion,  "When racing 100 meters, both Nina and Ryan maintained a steady pace. On the left is a chart showing the distance covered by each runner during the same segment of the race." Whatever the case may be, Ryan was given a 10-minute head start.

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Answer: Ryan had a head start of 10 meters.

Explanation: Trust me

if water completely boils in 7 minutes, how long does it take to evaporate​

Answers

Answer: 20 minutes

Explanation: omm its 20 minutes

Calculate the energy used by a radio of power 30W in 1 minute.

Answers

Answer:

1800 j or 1.8 kj

Explanation:

Energy used = power (measured in watts) multiplied by time (measured by seconds)

1 minute is 60 seconds

30 multiplied by 60 is 1800

Answer:

1800 joule

Explanation:

Power (P) = 30W

Time (T) = 1 min =60 sec

P =(W/T)

30 = W / 60

W = 1800 joule

We know that Energy Is equivalent to Work done. So Energy used is 1800 joule.

the speed of all electromagnetic waves in emoty space is 3.0x10^8 m/s .calculate the wavelength for radio waves with frequency 100.0 mhz

Answers

Taking into account the definition of wavelength, frecuency and propagation speed, the wavelength for radio waves with a frequency of 100 MHz is 3 m.

Definition of wavelength, frecuency and propagation speed

First of all, wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).

On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).

Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.

The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:

v = f×λ

All electromagnetic waves propagate in a vacuum at a constant speed of 3×10⁸ m/s, the speed of light.

Wavelength for radio waves

In this case, you know:

v= 3×10⁸ m/sf= 100 MHz= 100,000,000 Hz (being 1 MHz = 1,000,000 Hz)λ= ?

Replacing in the definition of propagation speed:

3×10⁸ m/s = 100,000,000 Hz× λ

Solving:

λ= 3×10⁸ m/s ÷ 100,000,000 Hz

λ= 3 m

In summary, the wavelength for radio waves with a frequency of 100 MHz is 3 m.

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How to convert work done in joules into kilojoules?

Answers

1 Kilojoule [kJ] = 737.562 149 277 27 Foot pound force [ftlbf]

Answer:

divide by 1000

Explanation:

eg 1kJ is equal to 1000J

PLEASE HELP ASAP!!
The invention and use of the microscope showed scientists that germs could cause illness. Although there had been various understandings before for why people become ill, the discovery that microscopic germs can make people sick completely changed scientific understanding of why diseases exist and spread.

This change is an example of what?

how a law changes when new evidence disproves it
how a law stays the same as new scientific inquiries are made
how a theory changes as new areas of science open up
how a theory stays the same when new research confirms it

Answers

According to the information in the fragment, it can be inferred that it is an example of how scientific development has consequences on pre-established theories and new areas are created in science (option C)

What is a scientific theory?

A scientific theory is a term to refer to a set of concepts and observations that are proposed as principles to explain a class of phenomena.

According to the above, the discovery of germs and their relationship with human diseases was an event that changed scientific theories about human diseases because it demonstrated a different explanation than what was believed up to that time.

So, the correct answer is option C because this event changed scientific theory and opened new fields for scientific study and research.

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Answer:

Explanation:

According to the information in the fragment, it can be inferred that it is an example of how scientific development has consequences on pre-established theories and new areas are created in science (option C)

What is a scientific theory?

A scientific theory is a term to refer to a set of concepts and observations that are proposed as principles to explain a class of phenomena.

According to the above, the discovery of germs and their relationship with human diseases was an event that changed scientific theories about human diseases because it demonstrated a different explanation than what was believed up to that time.

So, the correct answer is option C because this event changed scientific theory and opened new fields for scientific study and research.

At time t=0 , in your frame of reference Z, you measure the back of the spaceship to be at x=0 and the front of the ship to be at x=l . Find an equation relating the length that you measure l to the ship's proper length l0 .

Answers

An equation relating the length that you measure l to the ship's proper length l0  is  

l =l0/y. This is further explained below.

What is an equation relating the length that you measure l to the ship's proper length l0?

Generally, Any object's length in a moving frame will look shortened or contracted when seen in that direction. The Lorentz transformation may be used to determine the amount of contraction.

In conclusion, To use the Lorentz Lorentz transformation, the length Lo-x2 - may be determined if it is measured in the moving reference frame. Hence the Resultant l = l0/y.

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whats the function of the epididymis​

Answers

Answer:

It carries and stores sperm cells that are created in the testes.

A conducting sphere with radius R carries total charge Q. What is the magnitude of the electric field at distances R/2 and 2R from the center of the sphere

Answers

Hello!

Distance of R/2:

Since a conducting sphere is referenced in this situation, all of its charge will be distributed along its SURFACE. Therefore, there is NO enclosed at a distance of R/2 from the center.

Using Gauss's Law:
[tex]\oint E \cdot dA = E\cdot A = \frac{Q_{encl}}{\epsilon_0}[/tex]

E = Electric field strength (N/C)
A = Area of Gaussian surface (m²)

Q = Enclosed charge (C)
ε₀ = Permittivity of free space C²/Nm²)

If the enclosed charge is 0, then:
[tex]E \cdot A = \frac{0}{\epsilon_0}\\\\\boxed{E = 0 \frac{N}{C}}[/tex]

Distance of '2R':

We can once again use Gauss's Law to solve. This time, however, a surface of radius '2R' encloses ALL of the charge of the sphere.

[tex]E \cdot A = \frac{Q_{encl}}{\epsilon_0}[/tex]

'A' is equivalent to the surface area of a sphere of radius '2R', or:
[tex]A = 4\pi (2R)^2\\\\A = 4\pi (4R^2)\\\\A = 16\pi R^2[/tex]

Substituting this expression back into Gauss's Law:
[tex]E \cdot 16\pi R^2 = \frac{Q}{\epsilon_0}\\\\E = \frac{Q}{16\pi R^2\epsilon_0}[/tex]

To simplify:
[tex]E = \frac{1}{4\pi \epsilon_0 } * \frac{Q}{4R^2}\\[/tex]

OR using k = 1/4πε₀:
[tex]\boxed{E = \frac{kQ}{4R^2}}[/tex]

A boy is swinging a yo-yo with mass 0.5 kg in a circle with radius 0.7 m at a
speed of 7 m/s. what is the tension in the string connecting the yo-yo to the
boy's finger, disregarding the effect of gravity?

a. 35 n

b. 20 n

c. 9 n

d. 12 n

Answers

Based on the calculations, the tension in the string connecting the yo-yo to the boy's finger is equal to: A. 35 Newton.

Given the following data:

Mass, m = 0.5 kg.Speed, v = 7 m/s.Radius, r = 0.7 meters.

How to calculate the tension in this string?

Based on the information provided, we can logically deduce that the tension in the string connecting the yo-yo to the boy's finger is equal to the centripetal force acting on it.

Mathematically, centripetal force can be calculated by using this formula:

Fc = mv²/r

Fc = (0.5 × 7²)/0.7

Fc = 24.5/0.7

Fc = 35 Newton.

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help me Which two activities are practical applications of magnetism?

A) Using a compass to find your way to a campsite
B) Using a leather tool belt to organize metal tools
C) Using aluminum instead of steel to make outdoor furniture
D) Using a metal detector to find buried iron objects

Answers

Compass and metal detector are the practical applications of magnetism.

Which two activities are practical applications of magnetism?

Using a compass to find your way to a campsite and a metal detector to find buried iron objects are the practical applications of magnetism because in these tools magnet is used. Without magnet, they can't perform their function.

So we can conclude that compass and metal detector are the practical applications of magnetism.

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A light pointer is stuck to the rubber sheet so that it pivots about a point P near the
rim of the glass, as shown (enlarged) below.
This arrangement acts as a simple thermometer.
State two disadvantages of such a thermometer.

Answers

I’m not going to church tomorrow or Friday I don’t want to go go back up

PLS HELP: How do you think the mass media present mental disorders? Do you think the portrayals are accurate or inaccurate? Why?

Answers

The mass media present mental disorders by the daily soap programs and movies.

What is mass media?

Mass media is the means of communication that reach large numbers of people in a few seconds through optical fiber transmission cables connection, such as television, newspapers, magazines, and radio.

Studies show that both entertainment and news media provide dramatic and distorted images of mental disorders. It can lead to more dangerous personality to develop in people including fear, rejection, derision and ridicule. The criminal activity has received heavy coverage in the mass media.

Thus, the mass media present mental disorders by the daily soap programs and movies.

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25. a small container of water is placed on a turntable inside a microwave oven, at a radius of 12.0 cm from the center. the turntable rotates steadily, turning one revolution in each 7.25 s. what angle does the water surface make with the horizontal?

Answers

The angle that the water surface make with the horizontal is 0.527°.

How to calculate the angles?

The water vapor moves at speed. Therefore,

v = 2πr/T = (2 × π × 0.120)/7.25

= 0.104m/s

Also, the top layer of water deals a downward force if gravity which will be:

= mv²/r = 0.104/0.12 = 0.0901

There, the angle will be:

= tan(0.0901/9.8)

= 0.527°

In this case, the angle that the water surface make with the horizontal is 0.527°.

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Measuring Current as a Function of Voltage with a 20 Q Resistor
Voltage
M
Current Calculated
(A)
Current Experimental
(A)
1
5
10
20
50
Measuring Current as a Function of Resistance at 25 V
Resistance
Current Calculated
(10)
(A)
10
20
100
200
Determining Current in a Parallel Circuit
Observed
Resistor Set
(0)
Total
Resistance
Calculated
Current
(A)
Current
(A)
(10)
20, 20, 20
20, 20, 200
Voltage needed to raise current to 3.75 A (20, 20, 200 resistor set):
Calculated
Observed:
Calculating Power of Circuit Components
Current through Each Bulb
(A)
Table B
Table C
Table D
Observed Total Current
(A)
Current Experimental
(A)
Observed Current
through Each Resistor
(A)
Power Usage per Bulb
(

Answers

Answer:

Resistance at 25 V

Explanation:

(10)

(A)

10

20

100

200

Determining Current in a Parallel Circuit

Observed

Resistor Set

(0)

Total

Resistance

Calculated

Current

(A)

Current

(A)

(10)

20, 20, 20

20, 20, 200

Voltage needed to raise current to 3.75 A (20, 20, 200 resistor set):

Calculated

Observed:

Calculating Power of Circuit Components

Current through Each Bulb

(A)

Table B

Table C

Table D

Observed Total Current

(A)

Current Experimental

(A)

Observed Current

through Each Resistor

(A)

Power Usage per Bulb

(

Two objects perform the same task. One has thousands of moving parts while the other has no moving parts. What are they?.

Answers

The two objects perform the same task of measuring time and they are hourglass and sundial.

What is an hourglass?

An hourglass is a device used to measure the passage of time.

The hourglass contains two glass bulbs connected vertically by a narrow neck that allows a regulated flow of a substance from the upper bulb to the lower one.

What is a sundial?

A sundial is a horological device that is used to measure time of the day when there is sunlight by the apparent position of the Sun in the sky. Unlike hourglass, its doesn't move.

Thus, the two objects perform the same task of measuring time and they are hourglass and sundial.

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A very thin plastic rod of length is rubbed with cloth and becomes uniformly charged with a total charge of . Consider an arbitrary piece of rod of length located at a position on the rod. Find an expression for the electric field due to an arbitrary source location at observation location on the x-axis, a distance to the right of the end of the rod as indicated. Next, integrate to find the total electric field caused at by the entire rod. Use for Coulomb's constant

Answers

The total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].

Expression for the electric field

An expression for the electric field due to an arbitrary source location at observation location on the x-axis is determined as follows;

E = kq/r²

where;

k is coulomb's constantr is the distance on x - axisTotal electric field of the entire rod

[tex]\int\limits {dE} \,=\int\limits {\frac{kdQ}{r^2} }\\\\E = \lambda k \int\limits^{x + l}_x {\frac{dr}{r^2}} \,= \lambda k [-\frac{1}{r} ] \\\\E = \lambda k [\frac{1}{x} - \frac{1}{x+ l} ]\\\\E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex]

Thus, the total electric field of the rod at a distance, x to the right hand end of the rod is determined as [tex]E = \frac{\lambda}{4\pi \varepsilon _0} [\frac{1}{x} - \frac{1}{x+ l} ][/tex].

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An object whose mass is 0.092 kg is initially at rest and then attains a speed of 75.0 m/s in 0.028 s. What average net force acted on the object during this time interval?

Answers

Answer:

F = 246.4 N

Explanation:

Concepts:Newton's Laws Of Motion

First Law: (Law of Inertia)

Inertia refers to the tendency of an object to resist any change in its state of motion. Inertia is a measure of the objects mass.

Second Law:

refers to an object's motion when a net force does not equal zero. Acceleration is directly proportional to the net force and inversely proportional to the object's mass.

Third Law: (Action - Reaction)

Whenever one object exerts a force on a second object, the second objects exert an equal but opposite force on the first.

Weight:

Force of gravity is the weight of an object and is measured in Newtons.

Friction:

Frictional forces always oppose motion. The frictional forces ([tex]F_f[/tex]) is proportional to the coefficient of friction (Ц) and to the normal force [tex](F_n) F_f=uF_n[/tex].The normal force is a contact force which acts perpendicular to the common surface of contact.

Now onto the steps:
----------------------------------

F = mΔV ÷ t

F = 0.093 x 75 ÷ 0.028

F = 246.4 N

Therefore, the average net force acted on the object during this time interval is 246.6 Newtons.

According to Newton's 2nd Law of Motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is
10 m/s/s
10 m/s
100 m/s/s
1 m/s/s

Answers

According to Newton's second Law of motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is 1m/s².

How to calculate acceleration?

The acceleration of a moving body can be calculated by dividing the force of the body by its mass.

According to this question, the mass of an object is 10 kg and the force is 10 newtons, then the acceleration can be calculated as follows:

acceleration = 10N ÷ 10kg

acceleration = 1m/s²

Therefore, according to Newton's second Law of motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is 1m/s².

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Three resistors of 100 W, 3900 W, and 1000 W are connected in series across a 200-V battery. What is the voltage drop across the resistor of value 1000 W?

Answers

Answer:

40 V

Explanation:

 I will assume that  the resistors are

           100 and 3900 and 1000 OHMS    <=====(NOT W)

In series , the resistances add together 100 + 3900 + 1000 = 5000 ohms total

V = IR

I = V / R      so the total current will be   200 v / 5000 ohms = .04 amps

                   this is the current through all of the resistors

      so for the   1000 ohm resistor     V = IR     .04 (1000) = 40 V

The force on the wire is directed?

Answers

Answer: A

Explanation:

A jambo jet mass 4×10^2 kg travelling at a speed pf 5000 m/s lands on the airport . It takes 2 min to come to rest .calculate the average force applied by the groind on the aeroplane

Answers

The average force applied by the ground on the Aeroplane is  16.664 kN.

What is Newton's second law of motion?

It states that the force F is directly proportional to the acceleration a of the body and its mass.

F =ma

Given is the mass of aeroplane, m =400 kg and the velocity v = 5000 m/s,

It takes t = 2 min to come to rest, then the acceleration will be

a = velocity /time

a = 5000/(2x60)

a = 41.66 m/s²

According to the Newton's second law of motion.

F = 400 kg x  41.66 m/s²

F = 16.664 kN

Thus, the average force applied by ground on aeroplane is 16.664 kN

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what makes science an exact science

Answers

Explanation:

accurate quantitative expression, precise predictions and/or rigorous methods of testing hypotheses involving quantifiable predictions and measurements.

Answer:

because it is capable of accurate quantitative expression, meaning they show an absolute precision in their results.

If a person with a mass of 90 kg has an acceleration of 1 m/s/s when pushing off a wall, calculate the force.
91 newtons toward wall
90 newtons away from wall
89 newtons away from wall
90 newtons toward wall

Answers

The force of the person is 90 newtons away from the wall.

What is force?

Force can be defined as the product of mass and acceleration.

To calculate the force of the person when pushing off the wall, use the formula below.

Formula:

F = ma................. Equation 1

Where:

F = Force off the wallm = mass of the persona = acceleration of the person

From the question,

Given:

m = 90 kga = 1 m/s² off the wall

Substitute these values into equation 1

F = 90×1F = 90 Newtons away from the wall

Hence, the force of the person is 90 newtons away from the wall.

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A mass is stretched 4 centimeters from the equilibrium position of a spring. if the displacement is doubled, what can be concluded about the restoring force? a. it is halved. b. it is doubled. c. it stays the same. d. it is increased by 4. e. it is decreased by 1 4

Answers

From a spring's equilibrium point, a mass is stretched by 4 cm. The restoring force will also double if the displacement doubles. Option B is correct.

What is spring force?

The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is;

F = kx

The given data in the problem is;

F is the spring force =?

K is the spring constant= 8.5 N/m

x is the length by which spring got stretched = 1.2m

Given condition:

Displacement is doubled(x'=2x)

The spring force is directly propotional to the displacement of the spring;

F ∝ x

F' ∝ x'

If the displacement is doubled, the spring force will also double.

Hence option B is correct.

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Answer: From a spring's equilibrium point, a mass is stretched by 4 cm. The restoring force will also double if the displacement doubles. Option B is correct.

What is spring force?

The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is;

F = kx

The given data in the problem is;

F is the spring force =?

K is the spring constant= 8.5 N/m

x is the length by which spring got stretched = 1.2m

Given condition:

Displacement is doubled(x'=2x)

The spring force is directly propotional to the displacement of the spring;

F ∝ x

F' ∝ x'

If the displacement is doubled, the spring force will also double.

Hence option B is correct.

Explanation:

Calculating the volume of an irregular solid

Answers

Answer:

final volume - original volume

Answer:

See below

Explanation:

Place the solid in a graduated cylinder filled with water ( or other non-reactant liquid) and measure the change in volume in the graduated cylinder

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