Reference no: EM131019914
1) Solve the following equations algebraically. You must show all your work.
a) t2/3 = 4
b) 5√(x+1) = 3
c) (2/3) = 2 - (5x - 3) / (x - 1)
2) Solve algebraically and check your potential solutions: √(t + 12) - t = 0
3) The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 700 in3. Round the answer to three decimal places.
4) a) Show the steps that you would take to solve the following algebraically: (3 / (x - 3)) = (x / (x - 3)) - (3/2)
b) What potential solution did you obtain? Explain why this is not a solution.
5) For the following function, C computes the cost in millions of dollars of implementing a city recycling project when x percent of the citizens participate. C(x) = 1.3x / (100 - x)
a) Using this model, approximately what is the cost if 40% of the citizens participate? Include units with your answer.
b) Using this model, estimate the percentage of participation that can be excepted if $3 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.
6) a) If y = √(x - 1), fill in the following table for x = 0, 1, 2, 3, 4. Round to three decimal places where necessary.
b) Explain why no negative values are chosen as values to substitute in for x.
c) Graph in MS Excel or another web-based graphing utility and paste your graph here.
7) Suppose that N= √x + 4models the number of cases of an infection, in millions, of a disease x years from now.
a) Approximately how many cases of the infection will there be 16 years from now?
b) In approximately how many years will there be 6 million cases?
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