Determining the Correct Process for Solving an Absolute Value Equation Which statements are true for solving the equation 0.5 – |x – 12| = –0.25? Check all that apply. The equation will have no solutions. A good first step for solving the equation is to subtract 0.5 from both sides of the equation. A good first step for solving the equation is to split it into a positive case and a negative case. The positive case of this equation is 0.5 – |x – 12| = 0.25. The negative case of this equation is x – 12 = –0.75. The equation will have only 1 solution

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Answer 1

Answer: The correct statements are:

A good first step for solving the equation is to split it into a positive case and a negative case.

The positive case of this equation is 0.5 - |x - 12| = 0.25.

The negative case of this equation is x - 12 = -0.75.

The equation will have only 1 solution.

Answer 2

The required correct statements are below in the solution part.

What is absolute value?

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

The correct statements are:

A good first step for solving the equation is to split it into a positive case and a negative case.

The positive case of this equation is 0.5 – |x – 12| = 0.25.

The negative case of this equation is x – 12 = -0.75.

The equation will have only 1 solution.

The steps for solving the equation are:

Split the equation into two cases based on the value of x relative to 12:

If x > 12, then |x – 12| = x – 12, so the equation becomes 0.5 – (x – 12) = –0.25, or x = 11.75

If x < 12, then |x – 12| = 12 – x, so the equation becomes 0.5 – (12 – x) = –0.25, or x = 11.75

Check each case to see if it satisfies the original equation:

Both cases give the same value of x = 11.75, so this is the only solution to the equation.

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Related Questions

When considering assessment data, teachers should

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Teachers should consider multiple sources of information when considering assessment data to get a well-rounded view of student performance.

What is Assessment Data and why is it important?

Assessment data refers to information collected through various assessments to evaluate student learning and progress.

It is important because it helps teachers understand student strengths and weaknesses, inform their instructional practices, and adjust their teaching to meet the needs of their students.

Teachers should use assessment data to inform their instructional practices and adjust their teaching to meet the needs of their students.

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Extreme examples of resocialization are seen as “brain- washing.” In the popular view of brainwashing, converts have their previous identities totally stripped. Both political and religious doctrines can even be used to resocialize people to radicalized belief systems. How does this happen and how does Stockholm Syndrome relate to this?

Answers

Answer:

Explanation:

Resocialization refers to the process of learning new norms, values, and beliefs in a social environment. Extreme examples of resocialization can lead to the phenomenon of "brainwashing" in which an individual's previous identity is stripped and replaced with a radicalized belief system.

This can happen through a number of means such as coercion, manipulation, psychological pressure, and conditioning. In the case of Stockholm Syndrome, individuals develop positive feelings towards their captors, even in situations where they are subjected to extreme abuse and control. The phenomenon of Stockholm Syndrome is thought to be related to the process of resocialization, as individuals learn to adopt the beliefs and values of their captors in order to survive and find safety in the relationship.

Thus, both brainwashing and Stockholm Syndrome are examples of how the process of resocialization can be used to manipulate and control individuals, leading to a complete change in their identity and beliefs.

Comparisons between Edna and which two other characters are most relevant to the theme of Kate Chopin’s The Awakening?
A. Robert and Mme Lebrun

B. Mariequita and the lady in black

C. Mme Ratignolle and Mlle Reisz

D. the two lovers

E. Alcee Arobin and the quadroon nurse

Answers

Answer: C. Mme Ratignolle and Mlle Reisz

Explanation: Mme Ratignolle and Mlle Reisz serve as contrasting influences on Edna throughout the novel, highlighting different aspects of her journey of self-discovery and awakening.

Mme Ratignolle represents the traditional societal expectations placed on women during that time period. She embodies the ideal of the "mother-woman," who prioritizes her family and conforms to societal norms.  Mme Ratignolle fulfills her role as a wife and mother with grace and ease, appearing content and fulfilled within the confines of her expected gender role.  Her presence serves as a reminder of the societal pressures and expectations that Edna struggles against.

On the other hand, Mlle Reisz represents a more unconventional and independent way of life.  She is a talented and passionate pianist who lives a solitary and unconventional existence.  Mlle Reisz's independence and artistic pursuits stand in contrast to the societal norms that Edna finds suffocating.  Mlle Reisz serves as a source of inspiration and guidance for Edna, encouraging her to pursue her desires and live authentically.

Through the interactions and relationships with Mme Ratignolle and Mlle Reisz, Edna is confronted with different paths and possibilities for her own life. The contrasting influences of these characters contribute to Edna's exploration of her own identity, desires, and the limitations imposed on women in society.

Learn more about the Awakening here: https://brainly.com/question/29329913.  

What class do you think is the hardest? and why?

Answers

Math, because of the questions, and equations, they just confuse me and the lesson, even when specifically told, I'm still confused. I don't know what's wrong with me.

Honestly, Mathematics and AP are quite hard
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