Matrix D gives the dealer invoice prices for sedan and hatchback models of a car with manual transmission or automatic transmission. Matrix M gives the MSRP (manufacturer's suggested retail price) for the cars. Sedan Hatchback D = $ 29 , 000 $ 27 , 500 $ 28 , 500 $ 26 , 900 Manual Automatic Sedan Hatchback M = $ 32 , 600 $ 29 , 900 $ 31 , 900 $ 28 , 900 Manual Automatic a. Compute M − D and interpret the result. b. A buyer thinks that a fair price is 6 % above dealer invoice. Use scalar multiplication to determine a matrix F that gives the fair price for these cars for each type of transmission.
Matrix D gives the dealer invoice prices for sedan and hatchback models of a car with manual transmission or automatic transmission. Matrix M gives the MSRP (manufacturer's suggested retail price) for the cars. Sedan Hatchback D = $ 29 , 000 $ 27 , 500 $ 28 , 500 $ 26 , 900 Manual Automatic Sedan Hatchback M = $ 32 , 600 $ 29 , 900 $ 31 , 900 $ 28 , 900 Manual Automatic a. Compute M − D and interpret the result. b. A buyer thinks that a fair price is 6 % above dealer invoice. Use scalar multiplication to determine a matrix F that gives the fair price for these cars for each type of transmission.
Solution Summary: The author calculates the difference between the matrices D and M. The first column represents the amount of profit that the dealer makes for the sedan model of cars.
Matrix
D
gives the dealer invoice prices for sedan and hatchback models of a car with manual transmission or automatic transmission. Matrix
M
gives the MSRP (manufacturer's suggested retail price) for the cars.
b. A buyer thinks that a fair price is
6
%
above dealer invoice. Use scalar multiplication to determine a matrix
F
that gives the fair price for these cars for each type of transmission.
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.
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