State the value of the discriminant and the number of real solutions.s2 = -5s + 1

A. 0, one
B. -29, two
C. 29, one
D. 29, two


Answer: D

Mathematics

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Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y, z) = xy - ln(z), P0(2, -2, 2)

A. (-4i - 4j + k)
B. (-4i + 4j - k)
C. (-4i + 4j - k)
D. (-4i + 4j - k)

Mathematics

Solve the problem.The monthly payments on a $50,000 loan at 7% interest for 25 years is $353.50. How much of the first monthly payment will go toward the principal?

A. $24.75 B. $61.83 C. $328.76 D. $291.67

Mathematics

Solve the problem.The polynomial 0.0033x3 + 0.0058x2 + 0.112x + 1.75 gives the approximate total earnings of a company, in millions of dollars, where x = 0 corresponds to 2008, x = 1 corresponds to 2009, and so on. This model is valid for the years from 2008 to 2012. Determine the earnings for 2009. Round to the nearest hundredth.

A. $1.75 million B. $1.87 million C. $2.02 million D. $1.86 million

Mathematics

Simplify the rational expression.

A.
B.
C. 30r2s
D.

Mathematics