Consider the following simplex tableaux.I.
?II.
?
III.
?IV.
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Which of these tableaux have a solution that corresponds to a minimum for the associated linear programming problem?
A. I only
B. II and IV only
C. II, III, and IV only
D. II and III only
E. IV only
Answer: C
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Evaluate the expression 
for the given values of the variables.x = -4.2 , y = 0.06
A. -41.4 B. -4.14 C. -70 D. -7
Use a quantifier to make the following true or false, as indicated, where x is a natural number.x + x = 6 (make true)
A. There is no natural number x such that x + x = 6. B. For every natural number x, x + x = 6. C. There exists a natural number x such that x + x = 6. D. For all natural numbers x, x + x = 6.
Graph the quadratic equation on [-10, 10] by [-10, 10]. Does this window give a complete graph?f(x) = -4x2 + 2x - 1
A. 
No
B. 
Yes
C. 
Yes
D. 
No
Solve the problem.On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 50 m long and the tree is 40 m tall, how long is the shadow?
A. 64 m B. 100 m C. 30 m D. 90 m