Tell whether the graph of the function opens up or down.P(x) = (x + 2)2
A. down
B. up
Answer: B
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Simplify the radical expression by factoring out the largest perfect nth power. Assume that all variables are positive.
A. 7
B. 6
C. 61
D. 5
Solve the problem.A toy manufacturer makes three types of toys. Toy A requires 12 minutes to assemble, 12 minutes to paint, 4 minutes to package, and sells for $20. Toy B requires 20 minutes to assemble, 12 minutes to paint, 8 minutes to package, and sells for $25. Toy C requires 24 minutes to assemble, 20 minutes to paint, 16 minutes to package, and sells for $30. The manufacturer has available 800 work-minutes for assembly, 600 work-minutes for painting, and 720 work-minutes for packaging each day. They must make at least 10 toys of type A and 15 of type B each day. How many of each type of toy should be produced each day to maximize revenues?
A. 25 of Toy A, 25 of Toy B, 0 of Toy C B. 20 of Toy A, 20 of Toy B, 6 of Toy C C. 6 of Toy A, 10 of Toy B, 20 of Toy C D. 21 of Toy A, 20 of Toy B, 5 of Toy C
Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
A. x = -3, y = -5; (-3, -5) B. inconsistent C. x = 5, y = -3; (5, -3) D. x = -3, y = 5; (-3, 5)
Provide an appropriate response.Why is the slope of a vertical line undefined?
What will be an ideal response?