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determine which of the following statements is true concerning the values described in column #1 and column #2.

column #1: the x-coordinate of the vertex of the graph of
y = −2x2 − 4x + 12
column #2: the x-coordinate of the vertex of the graph of
y = x2 − 4x + 3
a. the value found in column #1 is greater than the value found in column #2.
b. the value found in column #1 is less than the value found in column #2.
c. the value found in column #1 is equivalent to the value found in column #2.
d. the relationship between column #1 and column #2 cannot be determined by the information given.

Factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. what is the resulting expression? (4x2 + 3)(x2 – 5) (4x2 – 3)(x2 – 5) (4x2 – 5)(x2 + 3) (4x2 + 5)(x2 – 3)

In 2009, there were 1570 bears in a wildlife refuge. in 2010, the population had increased to approximately 1884 bears. if this trend continues and the bear population is increasing exponentially, how many bears will there be in 2018?

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?