This problem I need a detailed explanation

Aug 21st, 2015
Price: $10 USD

Question description

An audio engineer finds that her mixes sound best when the reverb ($\footnotesize{y}$) is less than or equal to this expression: $\footnotesize{-0.5x^2+14x}$ and the reverb is more than or equal to this expression: $\footnotesize{-2x+96}$, where $\footnotesize{x}$ represents the number of instruments in the mix. These expressions can be written as inequalities:

$\footnotesize{y \leq -0.5x^2+14x}$
$\footnotesize{y \geq -2x+96}$

Here’s a graph** of these two inequalities:

a. Explain what steps you would take to find the points of intersection of the two curves on the graph
b. Determine which of the following points lie in the optimal range: 
(8, 80), (16, 100), (22, 80 ), (20, 80), (16, 60), (19.5, 73.6)
c. How do you know which of these points is in the optimal range when you use the graph?
d. How would you prove which of these points are in the optimal range by using algebra?
**For your convenience, you can access a more interactive graph here. You can use the magnification tools on the graph to zoom (though the interactive graph does not have any shading for the inequalities).

Tutor Answer

(Top Tutor) Daniel C.
School: University of Maryland

Studypool has helped 1,244,100 students

Review from our student for this Answer

Aug 21st, 2015
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1831 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors