Determine the vertex of the graph of f.f(x) = 2(x + 2)2 + 6

A. (-6, 2)
B. (2, 6)
C. (6, -2)
D. (-2, 6)


Answer: D

Mathematics

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The following system does not have a unique solution. Solve the system.

A. infinitely many solutions of the form x = -  - z, y = -  + z, z = z
B. infinitely many solutions of the form x =  + z, y =  - z, z = z
C. x = 0, y = 0, z = 
D. inconsistent system, no solution

Mathematics

Write the matrix equation as a system of linear equations without matrices.  = 

A. 8x + 2y = -6  3x - 6y = -9 B. 8x + 2y = 6 -6x + 3y = 9 C. 8x + 2y = 6  3x - 6y = 9 D. 2x + 8y = 6  3x - 6y = 9

Mathematics

Solve the problem.The table below shows the results of a consumer survey of annual incomes in 100 households.    What is the probability that a household has an annual income of $25,000 or more?

A. 0.71 B. 0.43 C. 0.57 D. 0.28

Mathematics

Solve the problem.A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of  and the gorge is 96 ft deep, during what interval can the flare be seen?(h = -16t2 + v0t + h0.)

A. 0 < t < 2 B. 6 < t < 7 C. 4 < t < 5 D. 2 < t < 3

Mathematics