2. Solve x2 - 6x = -5 by completing the square. Show all work for the steps below. (a) For x2 - 6x +c = -5+ c, what value of c is used to complete the square? (b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. (c) Solve for x.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.9: Area Problems
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2. Solve x2 - 6x = -5 by completing the square.
|
Show all work for the steps below.
(a) For x2 - 6x + c = -5 + c, what value of c is used to complete the square?
(b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the
square of a binomial.
(c) Solve for x.
Answer:
Transcribed Image Text:2. Solve x2 - 6x = -5 by completing the square. | Show all work for the steps below. (a) For x2 - 6x + c = -5 + c, what value of c is used to complete the square? (b) Substitute the value for c in Part 2(a). Then complete the square to rewrite the equation as the square of a binomial. (c) Solve for x. Answer:
3. The table shows the test scores and the sleep averages of several students.
Test Score (%)
88
75
76
92
96 94
83
90
99
65 77 88 82
83
94
97
Average Sleep (h)
7
6.5
6.
7.5
8
7
6.5
8.5
7
9
8
8.5 8.5 9
(a) Write the least squares regression equation that models the data.
Let x = the test score and y = average sleep.
(b) Use the equation to determine the approximate test score of a student who sleeps an average of
8 hours a night.
Show your work.
Answer:
Transcribed Image Text:3. The table shows the test scores and the sleep averages of several students. Test Score (%) 88 75 76 92 96 94 83 90 99 65 77 88 82 83 94 97 Average Sleep (h) 7 6.5 6. 7.5 8 7 6.5 8.5 7 9 8 8.5 8.5 9 (a) Write the least squares regression equation that models the data. Let x = the test score and y = average sleep. (b) Use the equation to determine the approximate test score of a student who sleeps an average of 8 hours a night. Show your work. Answer:
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