2. Imani and Yasmine both simplified the following radical expression, where a > 0 and b > 0: V56a³b. Their work is shown below. Imani's Work: Which student is correct? A. Imani is 56a b (22)(2)(7)(a²)@)b) 2a (2)(7)(a)(b) 2av14ab correct. B. Yasmine is correct. Yasmine's Work: V56a b V(2³)(7)(a³)(b) 2av7b What mistake was made by the student that was incorrect? Explain your reasoning below. 3. Simplify V2(7+ V8). Show your work in the space provided.

Algebra and Trigonometry (6th Edition)
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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,...
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Test Name: 21-22 Algebra 2 Unit 2
Name: Dot Cole
Pd:_4
Date:24 2022
1.
What does T(110) mean in the context of this
situation?
An airplane is flying 250 miles at a planned speed
of 450 mph. The flight will have an average
headwind of w miles per hour the entire time,
meaning the plane is flying directly against the
wind. The time T, in hours, of the flight is a
function of the speed of the headwind w, in mph,
and can be modeled by the function T(w) =
250
450-w
Here is a graph of y = T(w):
104
400
600
200
w (headwind speed)
At what value of w does the graph have a vertical asymptote? Explain how you know and what this
asymptote means in the context of this situation.
Transcribed Image Text:Test Name: 21-22 Algebra 2 Unit 2 Name: Dot Cole Pd:_4 Date:24 2022 1. What does T(110) mean in the context of this situation? An airplane is flying 250 miles at a planned speed of 450 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time T, in hours, of the flight is a function of the speed of the headwind w, in mph, and can be modeled by the function T(w) = 250 450-w Here is a graph of y = T(w): 104 400 600 200 w (headwind speed) At what value of w does the graph have a vertical asymptote? Explain how you know and what this asymptote means in the context of this situation.
2.
Imani and Yasmine both simplified the following radical expression, where a > 0
and b > 0: V56a³b. Their work is shown below.
Imani's Work:
Which student is
correct?
A. Imani is
V56a³b
V(22)(2)(7)(a²)@)(b)
2a (2)(7)(a)(b)
2av14ab
correct.
B. Yaşmine is
correct.
Yasmine's Work:
V56a³b
V(23)(7)(a³)(b)
2av7b
What mistake was made by the student that was incorrect? Explain your reasoning below.
3. Simplify V2(7+ v8). Show your work in the space provided.
Transcribed Image Text:2. Imani and Yasmine both simplified the following radical expression, where a > 0 and b > 0: V56a³b. Their work is shown below. Imani's Work: Which student is correct? A. Imani is V56a³b V(22)(2)(7)(a²)@)(b) 2a (2)(7)(a)(b) 2av14ab correct. B. Yaşmine is correct. Yasmine's Work: V56a³b V(23)(7)(a³)(b) 2av7b What mistake was made by the student that was incorrect? Explain your reasoning below. 3. Simplify V2(7+ v8). Show your work in the space provided.
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