Determine the amplitude and range of the given function.y = -3 sin x

A. amplitude: 3?, range: [0, 3?]
B. amplitude: 3?, range: [-3?, 3?]
C. amplitude: 3, range: [-3, 3]
D. amplitude: 3, range: [0, 3]


Answer: C

Mathematics

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What is the slope of the equation 2y = 3x + 5?

a. 2/3 b. 3/2 c. 5/2 d. 2/5 e. 5

Mathematics

Find the vertex and axis of symmetry of the graph of the function.f(x) = -x2 + 6x

A. (3, 9); x = 3 B. (9, -3); x = 9 C. (-3, -9); x = -3 D. (-9, 3); x = -9

Mathematics

Solve the equation for the indicated variable.A = P + PRTfor T

A. T = 
B. T = 
C. T = 
D. T = 

Mathematics

Total personal income in the U.S. (in billions of dollars) for selected years from 1960 to 2002 is given in the following table.

?
Year
1960
1970
1980
1990
2000
2002
Personal income
 
286.40
 
379.26
 
522.29
 
670.80
 
810.28
 
853.53
?
?
These data can be modeled by , wherexis the number of years past 1960. If this model is accurate, find the rate of change of the total U.S. personal income in 2001. Round your answer to the nearest ten million dollar.
?

A. $25.92 billion per year
B. $22.76 billion per year
C. $13.75 billion per year
D. $84.31 billion per year
E. $21.61 billion per year

Mathematics