Provide an appropriate response.If we apply the quadratic formula and find that the value of b2 - 4ac is positive, what can we conclude?

A. The equation has two real solutions.
B. The equation has two irrational solutions.
C. The equation has no real solutions.
D. The equation has one rational solution.


Answer: A

Mathematics

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Answer the question.Two candidates for governor of a state differ in their accounts of the state's economy during the incumbent's term. The incumbent claims that during his four-year term the economy has improved, citing a rise in the median household income from $33,000 to $34,500. The challenger claims that the economy has declined, citing that the buying power of families in the state has declined during the four years. Which of the following best explains how both candidates can be right?

A. The incumbent is referring to the state economy, while the challenger is referring to the national economy. B. It is not possible for both candidates to be right; one of them is obviously lying. C. Only those in the middle income group saw their incomes rise, those with lower and higher incomes actually saw their incomes decline during the incumbent's term. D. Though the median household income increased, prices increased by a greater percent, meaning that in real terms the median income actually decreased.

Mathematics

Provide an appropriate response.Does the curve y = (x + 3)3 have any horizontal tangents? If so, where? Give reasons for your answer.

What will be an ideal response?

Mathematics

Solve the equation.9 ln 6x = 45

A. {e5}
B.
C.
D.

Mathematics

Simplify.6 ? 6 - 3

A. 108 B. 39 C. 18 D. 33

Mathematics