Check to see if the given number is a solution for the equation.x2 -7 = 6x; check x = 7
A. 7 is not a solution.
B. 7 is a solution.
Answer: B
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Factor by any method.(q - 4)2 - 9
A. (q - 1)2 B. (q + 7)(q - 7) C. (q - 1)(q - 7) D. [(q - 4)2 + 3][(q - 4)2 - 3]
Graph the inequality. +
> 1
A.
B.
C.
D.
The growth rate of the bacterium, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min. If the initial cell population is 10, determine the function Q(t) that expresses the exponential growth of the number of cells of this bacterium as a function of time t (in minutes). How long will it take for a colony of 10 cells to increase to a population of 1 million? If the initial cell population were 100, how would this alter the model? ?
A.
B.
C. ?
D. ?
A boat travels upstream (against the current) between two points on a river 10 mi apart in 2.5 hours. The return trip downstream takes only 45 minutes. What is the boat's speed, and how fast does the current in the river flow?
(a) The speed of the boat is 4.5mi/h and the speed of the current flow is about 8.4 mi/h. (b) The speed of the boat is 8.7 mi/h and the speed of the current flow is about 4.7 mi/h. (c) The speed of the boat is 6.7 mi/h and the speed of the current flow is about 8.7 mi/h. (d) The speed of the boat is 5 mi/h and the speed of the current flow is about 4 mi/h. (e) The speed of the boat is 13.7 mi/h and the speed of the current flow is about 6.7 mi/h.