Find the average value of the function f over the given region.f(x, y) = 4x + 8y over the triangle with vertices , and 

A.
B. 12
C.
D.


Answer: A

Mathematics

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Provide an appropriate response.The domain of the function f(x) =  is

A. all real numbers ? 2 B. all real numbers except 4 and -4 C. all real numbers ? -2 except 4 D. all real numbers ? 2 except 4 E. all real numbers ? -2

Mathematics

Graph using the slope and the y-intercept.2x - y = 4

A.

B.

C.

D.

Mathematics

Provide an appropriate response.-5x + 4y = A 4x - 10y = BFor what values of A or B can this system of equations have (0,0) as a solution?

Fill in the blank(s) with the appropriate word(s).

Mathematics

Function g is related to a parent function f(x) = sin (x). ? g(x) = 4sin (4x - ?) - 3 ? Describe the sequence of transformation from f to g. ?

A. One cycle of g(x) is g(x) is also shifted down 4 units and has an amplitude of 4.
B. One cycle of f(x) is f(x) is also shifted down 3 units and has an amplitude of 4.
C. One cycle of g(x) is g(x) is also shifted down 3 units and has an amplitude of 4.
D. One cycle of g(x) is g(x) is also shifted up 3 units and has an amplitude of 4.
E. One cycle of g(x) is [?, 3?]. g(x) is also shifted down 3 units and has an amplitude of 3.

Mathematics