Unit 3 College Algebra

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MTH133

Units 3-5 – Individual Project 2 – C

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1) Solve algebraically. Trial and error is not an appropriate method of solution. You must show all your work.

Learn how to type math roots and fractions by clicking on the 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)

Show Your Work

(t+4)^(2/3)^(3/2) = 2^(3/2)

t+4 = 2^(3/2)

t+4 = 8^1/2 = sqrt(8)

t = sqrt(8)-4

t= sqrt(2*4) - 4

t= sqrt(2) * 2 - (2*2)

t = 2 (sqrt(2) - 2)

B

Answer:

Show your work here:

b)

Answer: x=15

Show your work here: 5*3

c)

Answer:=1/3

Show your work here:

2) a) Show the steps that you would take to solve the following algebraically:

Show your work here: =1/2

b) What potential solution did you obtain? Explain why this is this not a solution.

Answer:

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. Trial and error is not an appropriate method of solution – use methods taught in class.

Answer: = ³√700

= 8.879040017426010

Show your work here:

700 inch cubed = l x l x l (length x length x length)

I used the formula above

Cube sides are all equal

In order to find each side you take the cubed root of 700 for length

This would be approximately 8.8788

Then I rounded it off to 8.879 inches .

4) Suppose that N= models the number of cases of an infection, in millions, of a disease x years from now.

a) How many cases of the infection will there be 16 years from now?

Answer:

Show your work here:

b) In how many years will there be 6 million cases? Trial and error is not an appropriate method of solution – use methods taught in class.

Answer:

Show your work here

5) Consider the function .

a) Find h, the x-coordinate of the...