Find the constant of variation and construct the function that is expressed in each statement.y varies inversely as x: y = 0.3, when x = 0.8

A. y = 0.38x
B. y = 
C. y = 
D. y = 


Answer: C

Mathematics

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Find the Taylor polynomial of order 3 generated by f at a.f(x) = e-7x, a = 0

A. P3(x) = 1 - 7x +  - 
B. P3(x) = 1 - 49x +  - 
C. P3(x) = 1 - 7x +  - 
D. P3(x) = 1 - 7x +  - 

Mathematics

A truck gets 600/x mpg when driven at a constant speed of x mph (between 40 and 80 mph). If the price of fuel is $1/gallon and the driver is paid $8/hour, at what speed between 40 and 80 mph is it most economical to drive? ?

A. 60 mph B. 80 mph C. 75 mph D. 40 mph E. 45 mph

Mathematics

Write the inequality in interval notation.x ? -3

A. (-?, -3] B. (-3, ?) C. [-3 ?) D. (-?, -3)

Mathematics

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero.f(x) = x3 + 8x2 - x - 8

A. -1, multiplicity 1, crosses the x-axis; 1, multiplicity 1, crosses the x-axis;  - 8, multiplicity 1, crosses the x-axis. B. -1, multiplicity 1, touches the x-axis and turns around; 1, multiplicity 1, touches the x-axis and turns around; - 8, multiplicity 1, touches the x-axis and turns around C. 8, multiplicity 1, crosses the x-axis; 1, multiplicity 1, crosses the x-axis;  - 8, multiplicity 1, crosses the x-axis. D. 1, multiplicity 2, touches the x-axis and turns around; - 8, multiplicity 1, crosses the x-axis.

Mathematics