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

A. -1
B.
C. -30 
D.


Answer: D

Mathematics

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Use the table of values of f to estimate the limit.Let f(x) = , find f(x).

A.
 ; limit = 0.15
B.
 ; limit = 1.5
C.
 ; limit = 0.25
D.
 ; limit = 0.35

Mathematics

Solve the problem.In 1992, the population of a country was estimated at 5 million. For any subsequent year, the population, P(t) (in millions), can be modeled using the equation  where t is the number of years since 1992. Determine the year when the population will be 39 million.

What will be an ideal response?

Mathematics

Find a system of inequalities to describe the given region.Points in the first quadrant whose distance from the x-axis is less than 8 units

A. x > 0, y > 0, x < 8, y < 8 B. x > 0, y > 0, y < 8 C. x > 0, y > 0, x < 8 D. x > 0, y > 0, x2 + y2 < 64

Mathematics

Use the method of adding y-coordinates to graph the function.f(x) = x + sin x

A.

B.

C.

D.

Mathematics