Provide an appropriate response.Find a linear function, f, given f(5) = 7.66666667 and f(-7) = 3.66666667.

A. f(x) = - x + 3
B. f(x) = x + 6
C. f(x) = x + 3
D. f(x) = x - 6


Answer: B

Mathematics

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Solve the problem.A spherical water tank with an inner radius of 5 m has its lowest point 3 m above the ground. It is filled by a pipe that feeds the tank at its lowest point (see figure). Neglecting the volume of the inflow pipe, how much work is required to fill the tank if it is initially empty? Express the answer in terms of ?. 

A. ? J
B. ? J
C. ? J
D. ? J

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Provide an appropriate response.Consider determining how many possible phone numbers there are in an area code (repeated digits allowed). Is this an exercise in combinations, permutations, or neither?

A. Combinations B. Permutations C. Neither

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Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.

A. -1
B. -24 
C.
D.

Mathematics

Graph the absolute value function. State the domain and range.f(x) =  + 6

A. Domain: (-?, ?); Range: [+6, ?)

B. Domain: (-?, ?); Range: [0, ?)

C. Domain: (-?, ?); Range: [+6, ?)

D. Domain: (-?, ?); Range: [+6, ?)

Mathematics