1. Construct a Budget Constraint (in an Algebraic Equation and Graph fom) for 'Rational Consumer A from the following characteristics:
Total resources = 2000 units; Good X; Price of Good X = 200 units; Good Z: Price of
Good Z = 10 units:

Find parametric equations for the line. (enter your answers as a comma-separated list of equations. let x, y, and z be functions of t.) the line in the direction of the vector 5 i + 5 j − 6k and through the point (−4, 4, −2).

Determine whether the points (–3,–6) and (2,–8) are in the solution set of the system of inequalities below. x ? –3 y < 5? 3x + 2 a. the point (–3,–6) is not in the solution set, and the point (2,–8) is in the solution set. b. neither of the points is in the solution set. c. the point (–3,–6) is in the solution set, and the point (2,–8) is not in the solution set. d. both points are in the solution set.

Find an equation of the line perpendicular to the graph of 28x-7y=9 that passes through the point at (4,1)