QuickHelper

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About QuickHelper

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Teaching Since: May 2017
Last Sign in: 352 Weeks Ago, 5 Days Ago
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Education

  • MBA, PHD
    Phoniex
    Jul-2007 - Jun-2012

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  • Corportae Manager
    ChevronTexaco Corporation
    Feb-2009 - Nov-2016

Category > Engineering Posted 18 Jul 2017 My Price 8.00

questions attached below! college algebra

- do not use calculator for the first 3 questions

- make sure you show work, step-by-step solutions

Math 124C-4              SAMPLE Final Exam

 

Part I: No Calculator Allowed

 

1. Solve the system for x and y:

 

                         

 

2. Find the roots of the quadratic equation:

 

                         

 

3. Use synthetic division to find the multiplicity of 3 as a zero of:

 

                         

 

Part II: Calculators Allowed

 

4. Which of the following relations is NOT a function?  _____________

 

            A.   

 

            B.    

 

            C.    

 

5. Rewrite the following polynomial so its shape is unchanged but its vertex is (–3, 2):

 

                          --> ________________________________________

 

6. The following polynomial has a complex zero at x = 3+2i. Find a second complex zero:

 

                      _________________________

 

7. Rewrite the polynomial function as a product of binomial factors:

 

              -->   ____________________________________

 

 

8.  Construct the inverse of the function:

 

             _____________________________________

 

9.  Solve for x:

 

                ____________________

 

10. A right triangle has a hypotenuse H = 75 m. and leg A = 37.5 m. Find the length of leg B, and the measures of the angles opposite each leg (where angle h is opposite side H etc.):

 

            H         75 m                           Angle h                                  

 

            A          37.5 m                                    Angle a                                  

 

            B                                              Angle b                                  

 

11.  Solve the following system for x, y, and z:

 

                             X=___________     Y= ____________   Z= _________

 

12.  Find the eccentricity of the ellipse given by:

 

                                      eccentricity = ____________

 

13. Find the difference between the 12th and 25th terms of the sequence whose terms are given by:

 

                                          ___________________

 

 

 

 

 

 

 

 

Part III. Calculators allowed, but be sure to show setup and all work!

 

CHOOSE 3 PROBLEMS:

 

 

14.  Find ALL roots (complex as well as real) for the polynomial below, and give their multiplicities:

 

             

 

 

 

 

 

 

 

 

 

 

 

 

15. From a seat directly behind home plate in Fenway Park, I must look downward 60.7° from the horizontal to see the pitcher's rubber, and 82.36° to see home plate. The distance from the  rubber to home plate is 60 ft 6 in. How far above the level of the playing field am I sitting? (HINT: Carefully draw and label a diagram, then look for a system of 2 equations)

 

 

 

 

 

 

 

 

 

 

 

16. For the following function, first find the DIFFERENCE between the relative maximum and minimum; then rewrite the function as g(x) so this difference is half as great, while the zeros stay the same.

 

                                            Difference: _____________________

 

 

                                                                                    g(x) = ____________________________

17.  The cubic polynomial below is used to model concentration of a drug in the bloodstream of a 175-pound adult male between 0 and 6 hours after ingestion. Find the values for a, b, c, and d in the polynomial, using the function inputs and outputs from the table. Then use the function to determine drug concentration after 5 hours.

 

                                 Hours (h)                   Concentration (f(h))

                                                                                       0.5                            1.7875

                                                                                       2.0                            8.0000

                                                                                       3.0                            11.2500

                                                                                       4.0                            12.0000

 

            a=________   b=________   c=________  d=________         f(5)=___________

 

 

 

 

 

 

 

 

 

 

 

 

 

 

18.  For the conic described by the equation below, find the indicated parameters:

 

             

 

            A. Center: ________________

 

            B. Focuses: _______________ , __________________

 

            C. Vertexes: ______________ , _________________

 

            D. Eccentricity: ___________________

 

            E. Length of Major Axis: _______________

 

 

            F: Length of Minor Axis: _______________

Answers

QuickHelper
(10)
Status NEW Posted 18 Jul 2017 04:07 PM My Price 8.00

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