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.
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Find the domain and range of the relation.
A. domain: (-?, ?), range: (-?, 2] B. domain: (-?, 1], range: (-?, 2] C. domain: (-?, 1) or (1, ?), range: (-?, 2] D. domain: (-?, ?), range: (-?, ?)
Express the product as a sum or difference.cos 3x cos 2x
A. 
(cos x + cos 5x)
B. 
(cos 5x - cos x)
C. 
(cos 5x - sin x)
D. cos2 6x2
Perform the indicated operations. Assume variables represent positive real numbers.y3/13(y2/13 - 9y4/13)
A. y5/13 - 9y7/13 B. y6/169 - 9y12/169 C. y1/13 - 9y-1/13 D. y3/2 - 9y3/4
Find the area between the curves.x = 0, x = 1, y = x2 + 6, y = x2 + 2
A. 12 B. 8 C. 4 D. 16