If \(x+y=0\), which of the following must be equivalent to \(x-y\) ? A) \(-2 y\) B) \(\frac{x}{y}\) C) \(x\) D) \(x^2\)

Short Answer

Expert verified
The correct answer is option A) \(-2y\).

Step by step solution

01

Analyze the given equation

To solve the problem, let's first rewrite the given equation (\(x + y = 0\)) into a more useful form. Since we want to find an expression that is equivalent to \(x - y\), we can try to solve the given equation for x and then substitute the result into the expression \(x - y\).
02

Solve the equation for x

Given the equation \(x + y = 0\), let's solve it for x: \(x = -y\)
03

Substitute the result in the expression

Now we can substitute the expression we found for x into the expression \(x - y\): \((-y) - y\)
04

Simplify the resulting expression

After substituting, let's simplify the expression: \(-y - y = -2y\) Our simplified expression is now \(-2y\). Now we can match this simplified expression to one of the answer options.
05

Compare with the given options

We have found that the expression equivalent to \(x - y\) is \(-2y\). When we look at the given options, this expression matches with option A: A) \(-2y\) So, the equivalent expression for \(x - y\) is \(-2y\), which means the correct answer is option A.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

$$ C=0.0045 P+5.22 $$ 28\. A production line manager uses the equation above to predict the production cost per item produced in dollars, \(C\), based on the number of products made, \(P\). In the context of the model, what is the meaning of \(5.22 ?\) A) The initial production cost, in dollars, of each product made B) The approximate production cost increase, in dollars per item, for each item made C) The approximate production cost, in dollars per item, for every \(0.0045\) products made D) The approximate production cost decrease, in dollars per item, for every \(0.0045\) products made

The principal at a large high school in a major city believes that the math teachers for each class assign drastically different amounts of homework to their respective students. Which method of sampling would be best to estimate the average number of hours of homework assigned to students by the different math teachers? A) Select one math teacher at random and survey the number of assigned homework hours in each of his or her classes. B) Post an online poll to the school's social media account that asks students how much math homework they get each night. C) Select 5 students from each math class in the high school and then record the number of hours assigned to each student selected. D) Select the student with the highest grade in each math class and then survey those students to see how much homework they do each night.

The author indicates that prior to the Stanford University study the scientists generally believed that antibiotic-resistant strains of tuberculosis A) had a better chance of survival than their antibiotic-susceptible ancestors. B) would once again become the most deadly of diseases. C) resulted in lowered amounts of sputum in those they infect. D) did not have a survival rate equal to that of non-resistant strains.

Samantha offers two different packages of yoga classes at her yoga studio. She offers two hot yoga sessions and three zero gravity yoga sessions at a total cost of $$\$ 400$$. She also offers four hot yoga sessions and two zero gravity sessions at a price of $$\$ 440$$. Samantha wants to offer a larger package for long-time clients in which the cost must exceed \(\$ 800\). If Samantha does not wish to include more than

A) NO CHANGE B) have lead C) have led D) has lead

See all solutions

Recommended explanations on English Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free