Test Name: 21-22 Algebra 2 Unit 2Name: Dot ColePd:_4Date:24 20221.What does T(110) mean in the context of thissituation?An airplane is flying 250 miles at a planned speedof 450 mph. The flight will have an averageheadwind of w miles per hour the entire time,meaning the plane is flying directly against thewind. The time T, in hours, of the flight is afunction of the speed of the headwind w, in mph,and can be modeled by the function T(w) =250450-wHere is a graph of y = T(w):104400600200w (headwind speed)At what value of w does the graph have a vertical asymptote? Explain how you know and what thisasymptote means in the context of this situation. 2.Imani and Yasmine both simplified the following radical expression, where a > 0and b > 0: V56a³b. Their work is shown below.Imani's Work:Which student iscorrect?A. Imani isV56a³bV(22)(2)(7)(a²)@)(b)2a (2)(7)(a)(b)2av14abcorrect.B. Yaşmine iscorrect.Yasmine's Work:V56a³bV(23)(7)(a³)(b)2av7bWhat 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.

Topic:- algebra Note:- if more than one question uploaded than only one question need to be…

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.

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)

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,...

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Question

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.

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