x? = x ? 0.4xy , y? = ?0.8y + 0.1xy

Let x and y represent the populations (in thousands) of two species that share a
habitat. For each system of equations, find and assess the stability of the
equilibrium points. Remember that, for real populations, both x0 and y0 must be
nonnegative for ( x0, y0) to be an equilibrium point.


(0, 0), saddle point, unstable ,
(8, 2.5), center, indeterminate

Mathematics

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Graph the line described.Through (0, 3); m = - 

A.

B.

C.

D.

Mathematics

Solve the problem.Ultraviolet radiation from the sun is thought to be one factor causing skin cancer. The amount of UV radiation a person receives is a function of the thickness of the earth's ozone layer which depends on the latitude of the area where the person lives. The following data represent the latitudes and melanoma rates for nine randomly selected areas in the United States. The melanoma rates refer to a three-year period.   Graph the data on a scatter diagram treating latitude as the independent variable. Find an equation of the line containing the points -4.0px;" /> and  Express the relationship using function notation. Graph the line on the scatter diagram. Interpret the slope of the line. Use the line to predict the melanoma rate of an area with a latitude of 36.1 degrees north.  

What will be an ideal response?

Mathematics

Solve the problem.For the function f(x) = , find all values x for which f(x) = 4.

A. 7 B. 19 C. 13 D. 49

Mathematics

Determine whether the sequence is arithmetic. If so, find the common difference.

4.8, 5.4, 6, 6.6, 7.2, ... a. Arithmetic sequence, d =–0.6 b. Arithmetic sequence, d = 1.2 c. Arithmetic sequence, d = 0.6 d. Not an arithmetic sequence

Mathematics