### Graph: xy=-6

Graph the following: xy=-6

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Graph the following: xy=-6

If m varies directly as x and y, and m=10 when x=4 and y=7, find m when x=11 and y=8.

This is an allocation of ten estates between two individuals

Find the y-intercept of the line passing through (-5,-4) and parallel to 5x-6y=21.

George has decided that a distribution of data is cubic, that is it has the general form of a function "f(x)=x^3" if the point on the curve that should be at (0,0) is found at (-3,7) and the point that should be at (1,1) is at (-2,11). What is the equation of the data distribution (hint: sketch f(x)=x^3 and the points (-3,7) and

Plot f(x)=3(x-7)^2+5 using transformations. Track the points (0,0)(1,1) and (-1,1) from the reference equation (graph) to their final position.

What is the difference between varying inversely or directly?

Maximize the objective function C=3x+2y with the constraints x+2y=4, x-y=1, x=0, y=0

An objective function is to be maximized given the following constraints: x+2y=4, x-y=1, x=0, y=0. Find the vertices of the set of feasible solutions.

Define F: power P({a, b, c}) -> Z as follows: for all A exist in power P({a, b, c}), F(A) = the number of elements in A. a). Is F one-to-one? Please give proof or give a counterexample. Please explain so I may understand. Thanks

What is a feasible region and how do I create one?

Given S = {0, 1}, let R be the partial order relation on S X S X S such that for all ordered triples (a, b, c) and (d, e, f) in SXSXS (a, b, c) is related to (d, e, f)  a =<d, b=<e, c=<f, where =< denotes the usual "less than or equal to" relation for real numbers. Give all maximal, greatest, minimal and least elements

How do you fine the equation of a line? ~Find the equation of each line described below. Show all subproblems. a) The line through points (-1,4) and (2, 1) b) The line through points (6,3) and (5,5) c) The line with slope 1/3 through the point (0,5) d) The line parallel to y= 2x-5 through point (1,7)

Decide whether or not the events are mutually exclusive: Having good reading skills and having good math skills.