10.1 inverses of simple quadratic and cubic functions answers

Answers

Answer 1

The  inverses of simple quadratic and cubic functions are known to be a form of inverse relationship where one variable is said to increase while the other decreases.

What is the simplest quadratic relation?

A quadratic equation is known to be a type of an equation that belongs to the second degree. It implies that  it has at least one term that is often squared.

Recur that an  an inverse relationship consist of a variable that is known to often increases the other variable is one that often decreases.

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Related Questions

A book has a mass of 400g the surface of the book in contact

Answers

Answer:

The pressure exerted on the table due to the book is 200 N/m².

Explanation:

The pressure exerted on the table due to the book is 200 N/m².

The given parameters;

mass of the book, m = 400 g = 0.4 kg

dimension of the table,  = 0.10m x 0.20 m.

gravitational field strength g =  10 N/kg.

The area of the table is calculated as follows;

A = 0.1 x 0.2 = 0.02 m²

The pressure exerted on the table due to the book is calculated as follows; where;

F is the force of the book due to its weight

Thus, the pressure exerted on the table due to the book is 200 N/m².

which of the following best predicts the results of a drought in the savanna research area with regards to community resilience to this environmental change?

Answers

A probable prediction is that the grazed area will recover faster from drought due to greater biodiversity.

What is biodiversity?

Biodiversity refers to the variation (both phenotypic and genetic) present in a community and/or population.

Biodiversity is a fundamental issue for achieving ecosystem restoration after natural catastrophes.

In this case, drought is an environmental challenge that is more easily faced in presence of suitable levels of biodiversity.

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block x of mass m slides across a horizontal surface where friction is negligible. block x collides with block y of mass 2m that is initially at rest, as shown in figure 1. after the collision, both blocks slide together with a speed vs , as shown in figure 2.

Answers

The kinetic energy of the two-block system with the given masses before the collision is determined as ³/₂Mvs².

Kinetic energy of the blocks before collision

The kinetic energy of the blocks before the collision is calculated as follows;

For a negligible friction effect, the kinetic energy of the two - block system after the collision is equal to the kinetic energy before the collision.

K.E(initial) = K.E(after)

K(after) = ¹/₂(m₁ + m₂)vs²

K(after) = ¹/₂(m + 2m)vs²

K(after) = ¹/₂(3m)vs²

[tex]K.E(after) = \frac{3}{2} Mv_s^2[/tex]

Thus, the kinetic energy of the two-block system with the given masses before the collision is determined as ³/₂Mvs².

The complete question is below:

block x of mass m slides across a horizontal surface where friction is negligible. block x collides with block y of mass 2m that is initially at rest, as shown in figure 1. after the collision, both blocks slide together with a speed vs , as shown in figure 2.

What is the kinetic energy of the two-block system before the collision?

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A triangle has side lengths of 34 in 28 in and 42 in

Answers

Answer:

quizlet/494283439

Explanation:

I used this for my test not sure if im too late or not but here it for future students

Also the quizlet is wrong on a few questions (im not sure if its like this for everyone but it was like this for me):

6. B.292.3 meters

7. B.154 ft

8. D.912 meters

9. A.307 feet

Again these were the correct answers for me not sure if its the same for everyone they might have changed it.

(Also, I'm not sure about 11-15 bc my teacher said i didnt have to do those ones) Hope this helps :))

12.2 geometric sequences evaluate homework and practice answers

Answers

Geometric Series is known to be the exact sum of the terms of a geometric sequence. Its practice work example is given below:

Find the stated term of Given of the Geometric sequence  -3, -6, -12, -24 ...9th term.

What is Geometric Means?

This is known to be the terms that exist  between two nonconsecutive terms that belongs to a geometric sequence.

The Method to used in the above question is Geometric sequence.

The Rule of geometric sequence is that f (n)arⁿ⁻¹

Where A  =  the first term,

r = the  common ratio

Therefore, r = -6 ÷ -3 = 2n

f (n) = -3. 2ⁿ⁻¹

Then you change the term n with 9

f (9) = 3.2⁹⁻¹

= -768

Therefore, the the stated term is 768.

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Use the square root property to solve each equation, if possible.

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Answer:

To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.

Why does it rain more in west ferris than in east ferris

Answers

The scientific response to this would be that water vapor condenses as it moves higher, where the atmosphere is colder, keeping this in mind, it should help to explain why rain forms more over West Farris rather than East Ferris.

Warmer air carried more moisture, and when forced upwards in elevation, the temperature drops, then allowing more rainfall to precipitate out

Hope this info helps in some way!

4-4 skills practice parallel and perpendicular lines

Answers

An example of parallel and perpendicular lines are the steps walk of a straight ladder, the opposite sides of a rectangle.

How do you find parallel and perpendicular lines?

When there are two non vertical lines that are in found to be in the same plane such as the same slope, then a person can say that the lines are parallel.

But when two non-vertical lines in that are same to be of the same plane intersect at a right angle one can therefore say that they are perpendicular lines.

An example is "write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation". The equation that fits the graph (attached) is y = 2x + 1.

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18.1 angles of rotation and radian measure answers

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An example of angles of rotation and radian measure question is convert  the measure 20° to radian and then from radian to degree.

How does Radians and degrees both measure angles?

Radians and degrees are known to often measure angles. Note that one can convert from radian to degree and from degree to radian.

Note that one rotation that is around a unit circle is said to equals 360 degrees or 2π radians.

To solve for the option above 20°

One can say in Radian, it will be π/180

In degree , it will be π/9

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To find out what normita and her family do on holidays, write the appropriate word or phrase from the list. you won't use all the words, but none of the words are used more than once. ¡ojo! remember verb/subject agreement when conjugating verbs.

Answers

The appropriate phrase from the list that uses the verb/subject agreement is "When someone in my family has a birthday, we always have a party".

What is verb/subject agreement?

The Subject-verb agreement simply means that a subject and its verb must be both singular or plural. In this case, a singular subject takes a singular verb and a plural subject takes a plural verb.

From the complete question, the appropriate phrase from the list that uses the verb/subject agreement is "When someone in my family has a birthday, we always have a party".

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Rank the following different combinations of m and r on the basis of the angular speed of the merry-go-round after the sandbag "sticks" to the merry-go-round.

Answers

The angular speed simply describes the way that things turn which is described in units such as revolutions per minutes, degree per seconds, etc.

What is angular speed?

Your information is incomplete as the diagram isn't provided. Therefore, an overview will be given.

It should be noted that angular speed simply means the measure of how fast the central angle of the rotating body changes with respect to time.

The angular speed is simply calculated by multiplying the angle of rotation and the time taken to complete the rotation.

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A powdered mix can be transformed into a cool jiggly salad or dessert

Answers

A powdered mix being transformed into a cool jiggly salad or dessert is True.

What is a Powdered mix?

Thus is defined as a processed-food product which is usually in the form of powder for consumption.

The powdered form can be used to make a variety of food such as salad and dessert thereby making True the most appropriate choice.

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help hurry please help me

Answers

Answer:

The answer is B

Explanation:

If any of the numbers do not have a line underneath then the inside of the circle should not be shaded. If it does have a line underneath then the whole circle should be shaded. Then you look at the direction it is going, look carefully.

A store has a sale where all hats are sold at a discount of 40

Answers

Assuming the regular price of the jackets is $80. The number of  jackets that could be bought at the sale if a shopper spent $576​ is: 12 jacket.

Number of sold jacket

First step is to find new price using this formula

New price=Regular price×(100-Discount)

New price=$80×(100%-40%)

New price=$80×60%

New price=$48

Second step is to find the number of sold jackets

Number of sold jacket=Amount spent/New price

Number of sold jacket=576 / 48

Number of sold jacket= 12 jackets

Inconclusion the number of  jackets that could be bought at the sale if a shopper spent $576​ is: 12 jacket.

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A longitudinal wave is observed to be moving along a slinky

Answers

Explanation:

A longitudinal wave is composed of compressions and rarefactions. An example of a lomgitudinal wave is sound waves. It's a type of wave thay moves parrelel to axis.

For 2-methylbutane, the ∆h° of vaporization is 25. 22 kj/mol and the ∆s° of vaporization is 84. 48 j/mol・k. At 1. 00 atm and 201 k, what is the ∆g° of vaporization for 2-methylbutane, in kj/mol?

Answers

The Gibbs free energy ΔG for the vaporisation of 2-methylbutane, in KJ/mol is 8.24 KJ/mol

Data obtained from the question Enthalpy change (ΔH) = 25. 22 KJ/mol Change in entropy (ΔS) = 84.48 J/Kmol = 84.48 / 1000 = 8.448×10¯² KJ/KmolTemperature (T) = 201 KGibbs free energy (ΔG) =?

How to determine the Gibbs free energy

The Gibbs free energy for the reaction can be obtained as follow:

ΔG = ΔH – TΔS

ΔG = 25.22 – (201 × 8.448×10¯²)

ΔG = 25.22 – 169.8048

ΔG = 8.24 KJ/mol

Thus, the ΔG for the reaction is 8.24 KJ/mol

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What are your impressions of the following character? is he a strong or weak character? jasper what are his primary characteristics?

Answers

My impressions of the characters from the story in his steps are :

Rachel is strong.Her primary characteristics is that she is a beautiful singer.Jasper is a Young writer.

What is the term impression about in the text?

Impression connote the views or opinions one has concerning a person.

Based on the text, The impressions of the Rachel character is known to be that she has a strong character. Rachel primary characteristics is that she is in her 20's and a beautiful singer at her Church.

Jasper on the other hand is quite a young writer that was in love with Rachel and He also proposed  marriage to her.

See full question below

What are your impressions of the following character? Is she a strong or weak character? (from the story in his steps)

Rachel

What are her primary characteristics?

What are your impressions of the following character? Is he a strong or weak character?

Jasper

What are his primary characteristics?

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which of the following best explains how most candidates are recruited to run for office?

Answers

How most candidates run for office is; Political parties usually recruit and train people at the local level they believe are most fit to run for office.

What is the election process?

A political campaign is known to be a form of an organized work which aim to influence the decision making procedures within a particular group of people.

In politics, the major political campaigns are targeted at  mainly general elections and candidates set apart for head of state or head of government, such as the office of the president or other elective positions.

FInally, the way candidates are recruited to run for office is Political parties usually recruit and train people at the local level they believe are most fit to run for office.

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A batch of 140 semiconductor chips is inspected by

Answers

Answer:

A batch of one hundred forty semiconductor chips would be inspected by choosing a sample

how many feet will it take you to stop from 60 mph

Answers

It will take 88 feet for you to stop from 60 mph

A rod is laid out along the x-axis with one end at the origin and the other end at x = l. the linear density is given by the following: rho(x) = rho0+(rho1-rho0)(x/l)2, where rho0 and rho1 are constant values.

Answers

The center of mass of the rod of length L whose mass density changes from one end to the other quadratically is; X_cm =  ³/₄L(ρ₀ + ρ₀)/(2ρ₀ + ρ₁)

What is the center of mass?

The formula for the center of mass of a body is defined as;

X_cm = (1/M) ∫r.dm

Where;

X_cm is the position of the center of mass

M is the total mass of the body

r is the position with respect to an origin

The density of a body is the relationship between two of its magnitudes that change constantly and so we have;

ρ = m/x

Applying small changes and we have;

ρ = dm / dx

dm = ρ*dx

We are given the expression;

ρ₀ = ρ₀ + (ρ₁ -ρ₀) (x/L)²

Thus;

dm = (ρ₀ + (ρ₁ -ρ₀) (x/L)²)dx

Since the whole system is on the x-axis, we integrate from the initial point x = 0 to the upper limit X = L. This gives;

X_cm =  M⁻¹  ∫ x  [ρ₀ + ( ρ₁-ρ₀) (x/L)²] dx

X_cm = M⁻¹  [∫ ρ₀ x dx + I (ρ₁-ρ₀) / L² x³ dx]

X_cm = M⁻¹  [ρ₀ x²/ + (ρ₁ -ρ₀) / L² x⁴/4]

X_cm = M⁻¹ [ρ₀/2 (L2-0) + (ρ₀₁ -ρ₀) /4L² (L⁴-0)

X_cm = M⁻¹ [ρ₀ L²/2 + (ρ₁ -ρ₀)/4  L²]

X_cm = M⁻¹ L² [ρ₀/4 + ρ₁/4]

X_cm = M⁻¹ L²/4 ( ρ₀ +ρ₁)

The only parameter that we don't know explicitly is the total mass, but we can look for their relationship using the concept of density.

M = ∫dm = ∫ρ.dx

M = ∫[ρ₀ + (ρ₁ -ρ₀)/L²x²] dx

We integrate between the limits of integration x = 0 and x = L to get;

M = ρ₀ x + (ρ₁ -ρ₀)/L² *x³/3

M = ρ₀ L + (ρ₁ -ρ₀)/3L²  L³

M = ρ₀ L + (ρ₁-ρ₀)/3  L

M = L(ρ₀ + ρ₁/3   -ρ₀/3)

M = L(2/3 ρ₀ + ρ₁/3)

M = ¹/₃L(2ρ₀ + ρ₁)

We will replace and simplify in the center of mass equation to get;

X_cm = ¹/₄L²[ρ₀ + ρ₁] / [L/3 (2ρ₀ + ρ₀)/L]

X_cm =  ³/₄L(ρ₀ + ρ₀)/(2ρ₀ + ρ₁)

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17.1 angles of rotation and radian measure answers

Answers

The angles of rotation is described as  an angle that is created by the beginning and ending positions of a ray that is known to moves in circles (rotates) about its own endpoint.

An example of this type of angle is given in the image attached. The image is an example of an angles that is greater than 180° and less than 0°.

What is Angles of Rotation and Radian Measure?

The measurement of a  radian of an angle is known to be the length of the arc on the unit circle that is said to be  subtended by that angle.

Note that the ways to Measure Angles is by:

Degree measure Radian measure

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Question 1 with 1 blank rafael y lola 1 of 1 en la clase pero no se hablaron. Question 2 with 1 blank anoche julia y francisco 1 of 1 en el cine a las siete. Question 3 with 1 blank cuando mi prima y yo nos saludamos, siempre 1 of 1. Question 4 with 1 blank elena y yo siempre 1 of 1 con la tarea. Question 5 with 1 blank leonor y david 1 of 1 por correo electrónico

Answers

These are the complete sentences using the preterite tense:

Rafael y Lola se vieron en la clase pero no se hablaron.Anoche Julia y Francisco se encontraron en el cine a las siete.Cuando mi prima y yo nos saludamos, siempre nos abrazamos.Elena y yo siempre nos ayudamos con la tarea.Leonor y David se escriben por correo electrónico.

What is the preterite tense?

In this exercise, the sentences are conjugated in the preterite tense.

The Spanish preterite tense ("pretérito perfecto simple" in Spanish) is used to talk about actions completed at some point in the past.

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Identify the 27th term of an arithmetic sequence where a1 = 38 and a17 = −74.

Answers

Answer:

-74 is -144

Explanation:

Hope it helps <3

Answer:

-74 is -144

Explanation:

hope it help

Frozen water is less dense than liquid water, allowing lake organisms to survive winter. true false

Answers

False, frozen water is denser than liquid water and does not allow lake organisms to survive water.

Density of Frozen water and Liquid water

By definition, density is the mass per unit volume of a substance, a property which is characteristic to each substance.

By convention, solid state of a substance are said to be denser than liquid state of the same substance. Hence, it follows that frozen water is denser than liquid water and does not allow lake organisms to survive.

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Answer:

True

Explanation:

I took the quiz

Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 + 7x – 14 6x2 (x – 2) + 7(x – 2) which is the completely factored form of his polynomial? (6x2 + 7) (x –2) (6x2 – 2) (x +7) (6x2 + 2) (x – 7) (6x2 – 7) (x + 2)

Answers

The completely factored form of his polynomial 6x³ - 12x² + 7x - 14 Wen factored is (x-2) ( 6x² + 7)

How to factorise a polynomial

6x³ - 12x² + 7x - 14

= 6x² (x - 2) + 7(x - 2)

Factor out the term (x-2) form each term

6x²(x – 2) + 7(x – 2)

= (x-2) ( 6x² + 7)

Therefore, the completely factored form of his polynomial is (x-2) ( 6x² + 7)

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Answer:

Answer  is A

Explanation:

A food worker needs to measure the temperature of hot held casserole

Answers

Answer:

he should measure it with a thermometer that sticks into the dish.

Explanation:

Hope this helps you :)

Why is it useful to have your bank account and routing numbers when using tax preparation software? everfi

Answers

It is useful to have a bank account and routing numbers when using tax preparation software so as to indicate where tax refunds should be sent.

What is a tax preparation software?

A tax preparation software can be defined as a type of computer software that is designed and developed to assist individuals when they are filing their taxes, tax returns and bank account preparations.

Basically, it is very useful and important for individuals to have a bank account and routing numbers when using tax preparation software because it would help them to indicate where tax refunds should be sent.

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In air, a sound wave with a frequency of 196 hz has a wavelength of about 1.76 meters. what is the wavelength of a wave if the frequency is increased to 784 hz?

Answers

The wavelength of the sound wave if the frequency is increased to the given value is 0.44m.

Wavelength

Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.

It is expressed as;

[tex]\lambda = \frac{v}{f}[/tex]

Where v is velocity and f is frequency.

Given the data in the question;

Frequency of sound wave a; [tex]f_a = 196Hz = 196s^{-1}[/tex]Wavelength of sound wave a; [tex]\lambda _a = 1.76m[/tex]

Speed of sound wave; [tex]v =\ ?[/tex]

Frequency of sound wave b; [tex]f_b = 784Hz = 784s^{-1}[/tex]

Wavelength of sound wave b; [tex]\lambda _b = ?[/tex]

First, we calculate the velocity of the sound wave in air from sound wave a.

[tex]\lambda = \frac{v}{f}\\ \\1.76m= \frac{v}{196s^{-1}}\\\\v = 1.76m * 196s^{-1}\\\\v = 344.96m/s[/tex]

Now, we determine the wavelength of sound wave b using the velocity of sound wave in air calculated above.

[tex]\lambda = \frac{v}{f}\\ \\\lambda = \frac{344.96m/s}{784s^{-1}}\\\\\lambda = 0.44m[/tex]

Therefore, the wavelength of the sound wave if the frequency is increased to the given value is 0.44m.

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Answer:

It decreases by 1.32 meters.

Explanation:

The other person was wrong.

"if i eat spicy foods, then i have strange dreams." "i have strange dreams if there is thunder while i sleep." "i did not have strange dreams."

Answers

The expression "i did not have strange dreams." validates the statements below "I did not eat spicy foods" and "there is no thunder while I sleep"

Validity of Logical Statements

In this exercise, the person gave three logical statements which are

"if i eat spicy foods, then i have strange dreams." "i have strange dreams if there is thunder while i sleep.

Now since the person did not have/ experience strange dream, this proves that the person did not eat spicy food and there was not thunder while the person was asleep.

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