Identify any extrema of the function by recognizing its given form or its form after completing the square.
?

A. relative maximum:
B. relative minimum:
C. relative minimum:
D. relative maximum:
E. relative maximum:


Answer: D

Mathematics

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Show that the equation is an identity.cos(2 cos-1 x) = 2x2 - 1

What will be an ideal response?

Mathematics

Using the graph below, find the domain and range of the given function, and sketch the graph. y = f(x + 2) -1

A. D: [-8, 1]; R: [-2.5, 5]

B. D: [-4, 5]; R: [-3, 3]

C. D: [-7, 2]; R: [-4, 2]

D. D: [-5, 4]; R: [-3, 3]

Mathematics

Solve the problem.A summer camp consists of several lodges, dining rooms and bath houses, represented by the vertices on the graph below. These buildings are linked by gravel pathways whose lengths in yards are also indicated on the graph. The gravel paths become very muddy when it rains, so the camp owners wish to pave certain paths so that it is possible to walk between any two buildings without having to walk on a gravel path. Use Kruskal's algorithm to determine which paths should be covered in order to minimize the total length of paved paths. Also, determine the minimum total length of pathways that must be paved.

What will be an ideal response?

Mathematics

Find the center and radius of the circle.x2 + y2 + 16x + 6y + 24 = 0

A. center: (3, 8); radius: 49 B. center: (-8, -3); radius: 7 C. center: (-3, -8); radius: 7 D. center: (8, 3); radius: 49

Mathematics