Provide an appropriate response.When using the quadratic formula, why is it necessary only to examine the discriminant to determine if the equation has real-number solutions?

What will be an ideal response?


If b2 - 4ac < 0, then the radicand in the quadratic formula is negative and the equation has only nonreal solutions. If b2 - 4ac ? 0, the radicand is nonnegative and the solutions are real numbers.

Mathematics

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Use the graph of the function to draw the graph of the inverse function.

A.

B.

Mathematics

Find all the factors of the natural number.66

A. 1, 2, 3, 9, 11, 22, 33, 66 B. 1, 2, 3, 4, 11, 16, 22, 33, 66 C. 1, 3, 11, 22, 33, 66 D. 1, 2, 3, 6, 11, 22, 33, 66

Mathematics

The management of a factory finds that the maximum number of units a worker can produce in a day is 30. The learning curve for the number of units N produced per day after a new employee has worked days is modeled by . After 20 days on the job, a worker is producing 19 units in a day. How many days should pass before this worker is producing 25 units per day? ?

A. about 36 days. B. about 45 days. C. about 30 days. D. about 10 days.

Mathematics

Solve the problem.Suppose that f(x) = 4x. What is f(5)? What point is on the graph of f?

A. 625; (4, 625) B. 1024; (5, 4) C. 1024; (5, 1024) D. 625; (5, 625)

Mathematics