An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 23x + 19yConstraints0 ? x ? 10 0 ? y ? 5 3x + 2y ? 6
A. Maximum: 230; at (10, 0)
B. Maximum: 57; at (0, 3)
C. Maximum: 325; at (10, 5)
D. Maximum: 95; at (0, 5)
Answer: C
Mathematics
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A. x = 1 B. x = 0 and x = 1 C. x = 1 and x = 5 D. x = 0, x = 1, and x = 5
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Find the equation of the least-squares regression line. Graph the line and data points on the same graph.
A. y = 2.1 + 0.75x
B. y = 5.1 + 0.75x
C. y = 5.0 + x
D. y = 2.1 + 0.75x
Mathematics
A system of nonlinear equations is given. Sketch the graph of the equation of the system and then determine the number of real solutions to the system. Do not solve the system.x2 = y - 1y = -4x + 6
A. Two
B. One
C. One
D. Two
Mathematics
Add or subtract. Simplify if possible.
+ 
- 
A. 
B. 
C. 
D. 
Mathematics