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 = 7x + 9yConstraintsx ? 0 0 ? y ? 5 2x + 3y ? 12 2x + 3y ? 20
A. Maximum: 59; at (2, 5)
B. Maximum: 70; at (10, 0)
C. Maximum: -28; at (4, 0)
D. Maximum: 42; at (6, 0)
Answer: B
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Refer to a normal distribution described by the following figure. The mean is ? and the standard deviation is ?.
If the standardized value of x is 1.25, then x =
A. 150. B. 117.5. C. 110. D. 170. E. none of these
Perform the addition.4.7 + 8.29
A. 13.09 B. 3.59 C. 12.99 D. -3.59
Add.(-3.07) + 0.57 + (-4.03)
A. -7.67 B. -6.53 C. 1.53 D. 0.39
Use a proportion to solve the problem.On Hector's bicycle, the ratio of pedal turns to rear-wheel turns in second gear is 4 to 7. If his rear wheel turns 434 times per mile, how many times does he turn the pedal in one mile?
A. 248 times B. 441 times C. 438 times D. 759.5 times