Use the quadratic function to determine if the function has a maximum or minimum value and then find this maximum or minimum value.f(x) = -2x2 - 12x - 27

A. minimum at (9, 0)
B. maximum at (9, 3)
C. minimum at (0, 3)
D. maximum at (-3, -9)


Answer: D

Mathematics

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Write the phrase as a mathematical expression. Use x to represent the number. Combine like terms if possible.A number multiplied by -4, subtracted from the sum of 19 and eight times the number.

A. 4x - 27 B. 4x - (19 + 8x); -4x - 19 C. (19 + 8x) - (-4)x; 19 + 12x D. (19 + 8x) + (-4)x; 19 + 4x

Mathematics

The two triangles below are similar. Find the length of any missing side.

A. x = 34 B. x = 28 C. x = 36 D. x = 45

Mathematics

Solve the problem.A projectile is thrown upward so that its distance above the ground after t seconds is  After how many seconds does it reach its maximum height?

A. 22 sec B. 44 sec C. 33 sec D. 11 sec

Mathematics

Solve the problem.A building needs a ramp to make it handicap accessible. By law, the ramp must run 10 inches horizontally for every 1 inch of rise. If the surface of the ramp is 42 inches long, how far above the ground is the inclined end of the ramp? Round to the nearest tenth of an inch.

A. 4.2 inches B. 3.8 inches C. 14.0 inches D. 3.6 inches

Mathematics