College Algabra

MTH133

Unit 3 - Individual Project - A

Name

1 ) Solve the following equations algebraically . You must show all your work Answer : x 512 Show your work here ( x 512 Answer : x 9 Show your work here ( x 9 Answer : x 9 /11 Show your work here ( 4 (3x - 2 (x 1 ) [Cross multiplying , left side of equation by 4 and right side by (x 1 )] ( 12x - 8 x 1 ( 11x 9 ( x 9 /11 Answer : x 2 and -1 Show your work here ( x 2 x2 [squaring both

side of the equation] ( x2 - x - 2 0 ( x2 x - 2x - 2 0 ( x (x 1 ) -2 (x 1 0 (x 1 (x - 2 0 ( x 2 and -1

will be taken as -1 for satisfying both side of the equation

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 800 cm3 Round the answer to three decimal places Answer : the length of a side is 9 .3 cm Show your work here

V s3 ( 800 s3 ( s 8001 /3 ( s 9 .2831cm ? 9 .3 cm Show your work here : b ) What potential solution did you obtain ? Explain why this is not a solution , which is undefined .a ) Using this model , approximately what is the cost if 40 of the citizens participate

Answer : if 40 of the citizens participate , then cost will be 1 million Show your work here b ) Using this model , estimate the percentage of participation that can be excepted if 5 million is spent on this recycling project ? Set up an equation and solve algebraically . Round to the nearest whole percent x ? 77 , fill in the following table for x 0 , 1 , 2 , 3 , 4 . Round to three decimal places where necessary x y

0 2

1 1 , 3

2 0 .586 , 3 .414

3 0 .268 , 3 .732

4 0 , 4 Show your work here 2 1 2 and - 1 2 3 and 1 1 .414 2 and - 1 .414 2 3 .414 and 0 .586 1 .732 2 and - 1 .732 2 3 .732 and 0 .268 2 2 and -2 2 4 and 0

Explain why no negative values are chosen as values to substitute in for x

Answer : If we take negative value for x , then value for y become imaginary value , since for solution of the equation , square root of negative number will be taken

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approximately 6 millions cases after 16 years from now Show your work here b ) In approximately how many years will there be 7 million cases

Answer : After approximately 25 years there will 7...