Find the vertex for the parabola whose equation is given.y = x2 + 8x + 3

A. (8, 131)
B. (-4, -13)
C. (4, 51)
D. (-4, -45)


Answer: B

Mathematics

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The speed for certain animals is related to the stride length by a power function. The value of the power in this function is . If  the stride length is doubled, how is the speed affected? Round your answer to two decimal places if necessary. ?

A. Speed is multiplied by 1.12. B. Speed is multiplied by 2.08. C. Speed is multiplied by 2.18. D. Speed is multiplied by 1.3.

Mathematics

Solve, rewrite in interval notation, and graph.5x - 8 ? -13 and 5x - 8 ? 7

A.  (-13)
 

B.  [-13)
 

C.  (-13]
 

D.  [-13]
 

Mathematics

Solve the linear programming problem.A doctor has told a sick patient to take vitamin pills. The patient needs at least 6 units of vitamin A and at least 6 units of vitamin B. The red vitamin pills cost  each and contain 1 unit of A and 2 units of B. The blue vitamin pills cost  each and contain 2 units of A and 1 unit of B. To avoid indigestion, the patient should take no more than 4 red pills and no more than 7 blue pills. How many pills should the patient take each day to minimize costs?

A. 4 red and 7 blue B. 2 red and 2 blue C. 0 red and 6 blue D. 4 red and 1 blue

Mathematics

Simplify the radical expression. Assume that all variables represent nonnegative real numbers.( - 7)( + 6)

A. x - 42
B. x + 6 - 7 - 42
C. x - 42
D. x +  - 42

Mathematics