Complete the exercises using counting techniques. A local department store sold carpets in 3 sizes. Each carpet came in 2 qualities. One size of carpet came in 5 colors. The other sizes came in 3 colors. How many choices of carpet were there?
A. 22
B. 28
C. 30
D. 27
Answer: A
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Suppose three center cubes are removed from a large 3 x 3 cube and the resulting figure is dipped in red paint. How many cubes have red paint on 1 face? 2 faces? 3 faces? 4 faces? 5 faces? 6 faces? Explain.
Determine whether the function is one-to-one.f(x) = 3
A. Yes B. No
Let the function 
be defined by the equation 
, where x and 
are real numbers. Find the domain and range of the function
.
?
A. ?domain: 
, range: 
B. ?domain: 
, range: 
C. domain: 
, range:
D. ?domain: 
, range: 
E. ?domain: 
, range:
Solve.A specialty watch company's monthly profit equation is P = -2x2 + 600x + 25,000,where x is the number of watches manufactured. Find the maximum monthly profit and the number of watches that must be produced each month to attain the maximum profit.
A. Maximum profit = $70,000 number of watches produced = 300 B. Maximum profit = $25,000 number of watches produced = 600 C. Maximum profit = $70,000 number of watches produced = 150 D. Maximum profit = $25,000 number of watches produced = 0