Mixed Nuts A store that specializes in selling nuts has available 72 pounds (lb) of cashews and 120 lb of peanuts. These are to be mixed in 12 -ounce (oz) packages as follows: A lower-priced package containing 8 oz of peanuts and 4 oz of cashews, and a quality package containing 6 oz of peanuts and 6 oz of cashews. Use x to denote the number of lower-priced packages, and use y to denote the number of quality packages. Write a system of linear inequalities that describes the possible numbers of each kind of package. Graph the system and label the corner points.
Mixed Nuts A store that specializes in selling nuts has available 72 pounds (lb) of cashews and 120 lb of peanuts. These are to be mixed in 12 -ounce (oz) packages as follows: A lower-priced package containing 8 oz of peanuts and 4 oz of cashews, and a quality package containing 6 oz of peanuts and 6 oz of cashews. Use x to denote the number of lower-priced packages, and use y to denote the number of quality packages. Write a system of linear inequalities that describes the possible numbers of each kind of package. Graph the system and label the corner points.
Solution Summary: The author explains the system of linear inequalities that describes each kind of package.
Mixed Nuts A store that specializes in selling nuts has available
72
pounds (lb) of cashews and
120
lb of peanuts. These are to be mixed in
12
-ounce (oz) packages as follows:
A lower-priced package containing
8
oz of peanuts and
4
oz of cashews, and a quality package containing
6
oz of peanuts and
6
oz of cashews.
Use
x
to denote the number of lower-priced packages, and use
y
to denote the number of quality packages. Write a system of linear inequalities that describes the possible numbers of each kind of package.
What is the limit as x → ∞ of t(x) =
=
√81x2
-3x+5
Consider the graphs of y = f(x) and y = g(x) in the given diagram
y= f(x).
y = g(x)
Evaluate (f+g)(2) -5
Determine all for which g(x) < f(x)
Determine all for which f(x) +3 = g(x)
I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed.
J) Give the interval(s) of such that g(x) > 0. Use the union symbol between multiple intervals.
K) Give the interval(s) of such that g(x) <0. Use the union symbol between multiple intervals.
Chapter 10 Solutions
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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