Provide an appropriate response.Explain how a quadratic inequality can be solved by examining a parabola that opens upward.

What will be an ideal response?


Consider ax2 + bx + c. If a > 0, then the graph of y = ax2 + bx + c is a parabola that opens up. We can examine the parabola to determine the intervals on which the polynomial has positive values and the interval on which it has negative values. If a < 0, we can multiply both sides of the inequality by -1, reversing the inequality symbol. Then the graph of  is a parabola that opens up and we can proceed as above.

Mathematics

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Divide and simplify. ÷ 

A.
B.
C.
D.

Mathematics

Solve the problem.The population growth of an animal species is described by  where t is measured in months. Find the population of this species in an area 6 months after the species is introduced.

A. 470 B. 240 C. 74 D. 704

Mathematics

Solve the problem.If the radius of a sphere is r feet, then the volume of the sphere is ?r3 cubic feet. Find the volume of a sphere with radius of 9 feet. Round your answer to two decimal places.

A. 9160.91 cubic feet B. 3053.64 cubic feet C. 1526.82 cubic feet D. 309.39 cubic feet

Mathematics

Find the derivative of the function.y = cos (8x2 + 5)

A.  = -16 sin 8x2
B.  = sin (8x2 + 5)
C.  = -16x sin (8x2 + 5)
D.  = 16x sin (8x2 + 5)

Mathematics