8-2 skills practice adding and subtracting rational expressions

The inverse function of the cubic function is its opposite

The inverse function of [tex]f(x) = 5x^3[/tex] is [tex]f^{-1}(x) = \sqrt[3]{\frac x5}[/tex]

The cubic function is given as:

[tex]f(x) = 5x^3[/tex]

Express f(x) as y

[tex]y = 5x^3[/tex]

Swap the positions of x and y

[tex]x = 5y^3[/tex]

Divide both sides by 5

[tex]y^3 = \frac x5[/tex]

Take the cube roots of both  sides

[tex]y = \sqrt[3]{\frac x5}[/tex]

Express y as an inverse function

[tex]f^{-1}(x) = \sqrt[3]{\frac x5}[/tex]

Hence, the inverse function of [tex]f(x) = 5x^3[/tex] is [tex]f^{-1}(x) = \sqrt[3]{\frac x5}[/tex]

Read more about inverse functions at:

https://brainly.com/question/14391067

Answer:

A struggle between the Eastern Bloc and the West that lasted 40 years.

Answer:

Communication is the first step.

Explanation:

To collect information quickly while safeguarding individual privacy, the nurse educator should use questionnaire.

A questionnaire serves as a list of questions or items used to gather data from respondents.

This information could be on their attitudes, experiences, or opinions.

However, Questionnaires can be used to collect quantitative and qualitative information.

Learn more about questionnaire at;

https://brainly.com/question/4588472

Answer:

The distance between the East Coast and the West Coast of the United States ranges between 2,600 and 3,200 miles, depending on the route.

Explanation:

How far is West Coast to East Coast?

2,092 miles is the shortest distance from the East Coast to the West Coast. It would take you about a week or so to get there at 60 miles an hour.

What’s the distance between the east coast and West Coast?

The distance between the East Coast and the West Coast of the United States ranges between 2,600 and 3,200 miles, depending on the route.

Answer:

3,527 miles

Explanation:

The longest route covers approximately 3,527 miles and is referred to as Route 50

hope this helps

There is credible evidence that mainstream news source is explicitly biased in one direction or the other in terms of its news coverage is a true statement.

Research has shown that there is overriding bias in the news where it goes to one direction of stories with the aim of getting the largest audience.

Note that media bias is said to be a deliberate or unintentional bending of news reporting toward one direction as a result of  political views, etc.

Learn more about bias from

https://brainly.com/question/24491228

Answer:

Application Softwares

Answer:

The answer is Hydrolysis

Explanation:

Hope that helps!

Comparative advantage is a guiding principle in how countries should trade with each other.

Comparative advantage is an economic theory with the idea that countries should produce goods that they incur less opportunity cost in.

It also means that countries should buy goods that they have a higher opportunity cost producing.

Now, the U.S. has a higher opportunity cost than India when it comes to customer service operations and as a result, by the principles of comparative advantage, India should engage in customer service instead of the U.S.

In conclusion, Indians incur less opportunity cost in customer service and so the U.S. exports it there.

Read more about comnparative advantage at; https://brainly.com/question/8416743

Note that not all  business organization are affected by antitrust  and as such the three types of corporate combinations are usually affected by antitrust policy in terms of  market share, vertical merger and others.

The antitrust laws are set up to boast and protect competition in business.

The three different types of corporate combinations are:

Companies that are said to be of same phase of production are known to be horizontal combination and that of vertical combination is known to be the kind of merger between companies that said to be of different phases of production of a product.

Learn more about antitrust policy from

https://brainly.com/question/940186

The map is not found here, but the regions where slave populations were primarily concentrated around 1860 are South Carolina coast and the Mississippi River.

During 1860, the highest slave populations in the USA were concentrated on the South Carolina coast and the Mississippi River.

These regions are located in the south of the USA, where the slavery population was very high for many decades.

In these regions, it has been estimated that 70% population suffered slavery during the period from 1790 to 1860.

Learn more about slavery here:

https://brainly.com/question/4636180

A persistent pattern of disregard for and violation of the rights of others which is commonly known as sociopath is an: antisocial personality disorder (ASPD).

ASPD is an acronym for antisocial personality disorder can be defined as a type of personality disorder that is primarily characterized by disregard for people, destruction, violation of people's rights, infliction of injuries on others and a lack of close friendships or relationships.

In Psychology, an antisocial personality disorder (ASPD) includes the following characteristics and signs:

Read more on personality disorder here: https://brainly.com/question/25764595

The decision of  hemingway's  to end the story of the major returning to the hospital after his wife's death lead to:

An ending is known to be the conclusion of a thing. In stories, it can be a sad or an happy ending.

Note that an ending also connote  a time when a thing is about to  finish or near its completion. The end of the story above produces a sense of grief for the major not only for the loss of his wife but also the loss of his hand, that is  tragic story.

See options below

1. It hints that the major mourned for his lost wife only for a brief few days before returning to his routine at the hospital, ending the story on an uncaring note.

2. It emphasizes that the photographs are of no concern to the major because he doesn’t expect the machine to make much difference, ending the story on a doubtful note.

3. It suggests a sense of absurdity that the machine will revitalize the major’s hand to what is shown in the photographs, ending the story on a patronizing note.

4. It creates a sense of grief for the major not only for the loss of his wife but also the loss of his hand, ending the story on a tragic note.

Learn more about  story's impact from

https://brainly.com/question/16057281

Answer:

Tennyson most likely repeats the word "cannon" in the first three lines of the excerpt to show that the assault on the soldiers was nonstop. By repeating the word "cannon," Tennyson emphasizes the constant barrage of artillery fire the soldiers faced from all sides. This repetition creates a sense of overwhelming and relentless attack, highlighting the danger and intensity of the battle. It also underscores the bravery and resilience of the soldiers who faced such a relentless onslaught.

Answer:

Follow a healthy eating pattern across the lifespan. Focus on variety, nutrient density, and amount. Limit calories from added sugars and saturated fats and reduce sodium intake. Shift to healthier food and beverage choices. Support healthy eating patterns for all.

Explanation:

An example of Financial algebra is find the 20% increase to the original price of 1.2.

Financial Algebra is known to be a type of semester course that is often made for the upperclassmen. It is one that has been set up to create a good and strong foundation in logical thinking and problem solving in terms of finance and money.

= 20% of the price = 1.2

The cost of the selling price of share = 1.247.65

Therefor it will be= 57.18

Learn more about algebra from

https://brainly.com/question/2284847

Remove three incorrect answers from the equation. Always be aware of your errors. Pay attention to the connotation and context of what you're saying. Use Make the most of the evidence questions. Read passages in a strategic manner. Passage Introductions Should Not Be Ignored. Become engrossed in the passages. Before taking the test, read the section instructions. First, answer the questions you already know the answers to. Remove any wrong responses. Maintain a tidy appearance. Keep an eye out for stray marks. The majority of the time, your initial response is correct. There is just one response that is correct.

The output of the given algebra b = -1 - 7a with the given input of a = 6 is calculated to be; b = -43

We are given the algebra;

b = -1 - 7a

where;

a is the input

b is the output

Now, we are given the value of the input to be a = 6

Thus, output is calculated as;

b = -1 - 7(6)

b = -1 - 42

b = -43

Thus, the output of the given algebra with the given input is -43.

Read more about algebra at; https://brainly.com/question/723406

Answer:the answer is B

Explanation:

Answer:

neutral reflection.

Explanation:

Answer:

It's B

Explanation:

To find the arc length on any given circle that has a radius (r) and central angle in radians (∅), the formula for the arc length is: s = r∅

The arc length can be defined as the distance of any part of the circumference of a circle.

Formula for finding the arc length is given as: s = r∅, where r is the radius and ∅ is the central angle in radians.

Information about the problem to solve is missing, however, to find the arc length on any given circle that has a radius (r) and central angle in radians (∅), the formula for the arc length is: s = r∅

Learn more about arc length on:

https://brainly.com/question/2005046

Explanation:The sequence of the bases?, A, C, G and T, in DNA determines our unique genetic code and provides the instructions for producing molecules in the body. The cell reads the DNA code in groups of three bases.

Answer:

i think it is 4mph

Explanation:

The contributing factors to the personal values I have towards nature are:

This is a term that is used to refer to the physical world that we live in as well as all the components that exists in it.

By the word nature, it refers to the plants, animals, environment and other features in the environment.

Read more on natural environment here: https://brainly.com/question/47015

Answer:

A Solution that is 0.10m HC2H3O2 And 0.10m LiC2H3O2

Answer:

Explanation:

If her country is currently the United States, then she is Assimilated. She is adamant about what she is. That means her heritage does not matter very much to her.

The force between the two identical electrical charges with the given distance of seperation is 0.2247N.

Given the data in the question;

Coulomb's law states that the force between two electrical charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between the two charges.

This is expressed as;

[tex]F = k\frac{q_1q_2}{r^2}[/tex]

Where [tex]q_1\ and \ q_2[/tex] are the two electrical charges, r is the distance between the charges and k is the Coulomb constant ( [tex]k = 8.98755*10^9 kgm^3/s^2C^2[/tex] )

To determine the force between the two charges, we substitute our values into the expression above.

[tex]F = k\frac{q_1q_2}{r^2}\\\\F = (8.98755*10^9 kgm^3/s^2C^2)\frac{(1.0*10^{-5}C)(1.0*10^{-5}C)}{(2.0m)^2}\\\\F = (8.98755*10^9 kgm^3/s^2C^2)\frac{1.0*10^{-10}C^2}{4.0m^2}\\\\F = \frac{0.898755kgm^3/s^2}{4.0m^2}\\ \\F = 0.2247kgm/s^2\\\\F = 0.2247N[/tex]

Therefore, the force between the two identical electrical charges with the given distance of seperation is 0.2247N.

Learn more about coulomb's law: https://brainly.com/question/506926