math 171 rams online.docx - Mat 171 PreCalculus Algebra Name Allison Butler Show all work either on this sheet or an attached sheet of paper No Work or

# math 171 rams online.docx - Mat 171 PreCalculus Algebra...

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Mat 171 PreCalculus Algebra Name Allison Butler ___________________________ Show all work either on this sheet or an attached sheet of paper. No Work or Partial Work, Is No Credit. Remember this assignment is graded. Good Luck! Again show ALL work. Solve the problem. 1) A car rental company has two rental rates. Rate 1 is \$42 per day plus \$.14 per mile. Rate 2 is \$84 per day plus \$.07 per mile. If you plan to rent for one day, how many miles would you need to drive to pay less by taking Rate 2? Rate 1: cost = 42 + 0.14x Rate 2: cost = 84 + 0.07x ------------------------------ 84+0.07x < 42 +0.14x 42 < 0.07x x > 700 miles ------------- Rate 2 will be less than Rate 1 if you drive more than 700 mile For the pair of functions, find the indicated composition. 2) f(x) = 4x 2 + 5x + 6, g(x) = 5x - 8 Find (g f)(x). ( f o g)(x) = f (g(x)) = f (–x2 + 5) = 2( ) + 3 ... setting up to insert the input formula = 2(–x2 + 5) + 3 = –2x2 + 10 + 3 = –2x2 + 13 Use a graphing calculator to find the zeros of the function. Round to three decimal places.  #### You've reached the end of your free preview.

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Unformatted text preview: Include ALL Pictures of the Calculator Screen Showing Your Work Step By Step. 3) f(x) = x 2 + 8x - 10 zeros are x = - 9.099 , 1.099 Solve the problem. 4) Assume that a person's threshold weight W, defined as the weight above which the risk of death rises dramatically, is given by W(h) = ( h 12.3 ) 3 , where W is in pounds and h is the person's height in inches. Find the threshold weight for a person who is 6 ft 4 in. tall. Round your answer to the nearest pound. (67/12.3)^3 (5.44)^3 160.98 Solve. 5) Suppose that \$4000 is invested at an interest rate of 5.8% per year, compounded continuously. What is the balance after 3 years? 4000 x 5.8%=232 232 x 3=696 696+4000 4696 6) A cruise boat travels 24 miles downstream in 3 hours and returns to its starting point upstream in 6 hours. Find the speed of the stream. b+c = 8 mph b-c = 4 mph--------------Add the two equations to solve for "b": 2b = 12 b = 6 mph ( boat speed in still water ) Substitute to solve for "c": 6 + c = 8 c = 2 mph (current speed...
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