By the factor theorem, if x + 3 is a factor of f(x) = -3x^3 + 6x^2 + 6x + 9, then f(-3) = 0
f(-3) = -3(-3)^3 + 6(-3)^2 + 6(-3) + 9 = -3(-27) + 6(9) - 18 + 9 = 81 + 54 - 9 = 126.
Therefore, x + 3 is not a factor of the given function
Answer: The results do not represent the population because the sample does not represent professors from different areas.
Step-by-step explanation:
Since Traverion wants to find the answer to the question “How much money does the average college professor make?”
He only surveys 50 professors from the university in his hometown.
Although he should survey professors from different areas but he only perform his survey only a specific university in his hometown.
Therefore, the survey is biased as the sample size is too small.
Hence, The results do not represent the population because the sample does not represent professors from different areas.
Answer:

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Answer:
C
Step-by-step explanation:
We have:

Where a<0.
We would like to solve for a. So, let’s divide both sides by a.
Notice that a<0. Therefore, a is negative. Hence, we must flip the sign since we are dividing by a negative. This yields:

Now, we will subtract b from both sides. Therefore, our inequality is:

Hence, our answer is C.