Homework Help is Here – Start Your Trial Now!
Math
Algebra
Roxanne is using successive approximation to solve this equation. 6x + 2 = VI + 2 – 3 She started from a graph, where she found the solution to be between -1 and 0. Using the lower and upper bounds from the graph, Roxanne started the first iteration of successive approximation. Rewrite the equation so it equals zero. 6x + 2 = VI + 2 – 3 Step 1 (6x + 2) – (VE + 2 – 3) = 0 Evaluate the rewritten equation at the lower and upper bounds. Since the solution to the equation represents a zero, one bound should yield a negative value and the other should produce a positive value. Step 2 (6(–1) + 2) – (S–1) + 2 – 3) = (6(0) + 2) – (V0) + 2 – 3) z 3.5858 = -2 Take the average of the lower and upper bounds from the graph. Step 3 -1 + 0 %3D Evaluate the rewritten equation at * = Step 4 ((-4) + 2) – (/(-) + 2 – 3) 2 0.7753 Since this value is positive, replace the previous lower bound so Step 5 the bounds are now * = and r = 0. Where did Roxanne make a mistake, and what was the error? O A. Roxanne made a mistake at step 5. She should have used = - as the new upper bound. O B. Roxanne made a mistake in Step 2. The actual evaluation of the rewritten equation at r = -1 is -3. OC. Roxanne made a mistake in Step 3. The average of the two bounds is = O D. Roxanne made a mistake in step 4. The actual evaluation of the rewritten equation is approximately -0.7753

Roxanne is using successive approximation to solve this equation. 6x + 2 = VI + 2 – 3 She started from a graph, where she found the solution to be between -1 and 0. Using the lower and upper bounds from the graph, Roxanne started the first iteration of successive approximation. Rewrite the equation so it equals zero. 6x + 2 = VI + 2 – 3 Step 1 (6x + 2) – (VE + 2 – 3) = 0 Evaluate the rewritten equation at the lower and upper bounds. Since the solution to the equation represents a zero, one bound should yield a negative value and the other should produce a positive value. Step 2 (6(–1) + 2) – (S–1) + 2 – 3) = (6(0) + 2) – (V0) + 2 – 3) z 3.5858 = -2 Take the average of the lower and upper bounds from the graph. Step 3 -1 + 0 %3D Evaluate the rewritten equation at * = Step 4 ((-4) + 2) – (/(-) + 2 – 3) 2 0.7753 Since this value is positive, replace the previous lower bound so Step 5 the bounds are now * = and r = 0. Where did Roxanne make a mistake, and what was the error? O A. Roxanne made a mistake at step 5. She should have used = - as the new upper bound. O B. Roxanne made a mistake in Step 2. The actual evaluation of the rewritten equation at r = -1 is -3. OC. Roxanne made a mistake in Step 3. The average of the two bounds is = O D. Roxanne made a mistake in step 4. The actual evaluation of the rewritten equation is approximately -0.7753

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question
Select the correct answer. Roxanne is using successive approximation to solve this equation. 6x + 2 = VI + 2 – 3 She started from a graph, where she found the solution to be between -1 and 0. Using the lower and upper bounds from the graph, Roxanne started the first iteration of successive approximation. Rewrite the equation so it equals zero. 6x + 2 = VI + 2 – 3 Step 1 (6x + 2) – (VI + 2 – 3) = 0 Evaluate the rewritten equation at the lower and upper bounds. Since the solution to the equation represents a zero, one bound should yield a negative value and the other should produce a positive value. Step 2 (6(–1) + 2) – (V=1) + 2 – 3) = -2 (6(0) + 2) – (/0) + 2 – 3) = 3.5858 Take the average of the lower and upper bounds from the graph. Step 3 -1 + 0 Evaluate the rewritten equation at * = Step 4 (6(-1) + 2) – (/) + + 2 – 2 0.7753 Since this value is positive, replace the previous lower bound so Step 5 the bounds are now * = -i and I = 0. Where did Roxanne make a mistake, and what was the error? O A. Roxanne made a mistake at Step 5. She should have used r = as the new upper bound. O B. Roxanne made a mistake in step 2. The actual evaluation of the rewritten equation at r = -1 is –3. OC. Roxanne made a mistake in Step 3. The average of the two bounds is r = O D. Roxanne made a mistake in step 4. The actual evaluation of the rewritten equation is approximately -0.7753-
Transcribed Image Text:Select the correct answer. Roxanne is using successive approximation to solve this equation. 6x + 2 = VI + 2 – 3 She started from a graph, where she found the solution to be between -1 and 0. Using the lower and upper bounds from the graph, Roxanne started the first iteration of successive approximation. Rewrite the equation so it equals zero. 6x + 2 = VI + 2 – 3 Step 1 (6x + 2) – (VI + 2 – 3) = 0 Evaluate the rewritten equation at the lower and upper bounds. Since the solution to the equation represents a zero, one bound should yield a negative value and the other should produce a positive value. Step 2 (6(–1) + 2) – (V=1) + 2 – 3) = -2 (6(0) + 2) – (/0) + 2 – 3) = 3.5858 Take the average of the lower and upper bounds from the graph. Step 3 -1 + 0 Evaluate the rewritten equation at * = Step 4 (6(-1) + 2) – (/) + + 2 – 2 0.7753 Since this value is positive, replace the previous lower bound so Step 5 the bounds are now * = -i and I = 0. Where did Roxanne make a mistake, and what was the error? O A. Roxanne made a mistake at Step 5. She should have used r = as the new upper bound. O B. Roxanne made a mistake in step 2. The actual evaluation of the rewritten equation at r = -1 is –3. OC. Roxanne made a mistake in Step 3. The average of the two bounds is r = O D. Roxanne made a mistake in step 4. The actual evaluation of the rewritten equation is approximately -0.7753-
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Solving Trigonometric Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS