basic algebra problems in mat133, unit 3
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1) Solve the following algebraically. You must show all your work.
Learn how to type math roots and fractions by clicking on link in the assignment list. Alternately, you may type as cuberoot(x) and show raising to the nth power as ^n, like x 3 is typed x^3.
a)Answer:
Show your work here:
b) x^(3/2) = 125
Answer:
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c)Answer:
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2) Solve algebraically and check your potential solutions:
Answer:
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3) a) Show the steps that you would take to solve the following algebraically:
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b) What potential solution did you obtain? Explain why this is this not a solution.
Answer:
4) 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.
a) Using this model, approximately what is the cost if 60% of the citizens participate?
Answer:
Show your work here:
b) Using this model, estimate the percentage of participation that can be excepted if $4 million is spent on this recycling project. Set up an equation and solve algebraically. Round to the nearest whole percent.
Answer:
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5) 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 500 cm3. Round answer to three decimal places.
Answer:
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6) 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 9 years from now?
Answer:
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b) In approximately how many years will there be 5 million cases?
Answer:
Show your work here
7) 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
Show your work here:
b) Explain why no negative values are chosen as values to substitute in for x.
Answer:
c) Graph in MS Excel and paste your graph here.
Answer:
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