Discuss the below:
1) Solve the following equations algebraically.
Alternately, you may type as cuberoot(x) and show raising to the nth power as ^n, like x ^3 is typed x^3.
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.
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.
6) a) If , fill in the following table for x = 0, 1, 2, 3, 4. Round to three decimal places where necessary.
x y
0
1
2
3
4
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= models 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?