Attached is a quiz i need help with. Answers and how you get them would help. Thanks.
Math 107 Quiet Student Nam I have completed this assignment myself , working independently and not consulting anyone except the instructor INSTRUCTIONS The quiz is worth 100 points . There are 13 problems , and one bonus question . This quiz is open book and open notes . This means that you may refer to your textbook , notes and online classroom material materials , but you must work independently and may not consult anyone ( and confirm this with your submission ission ) . You may take as much time as you wish provided you turn in your quiz no later than Show workexplanation where indicated , Answers without any work may earn little , if any , credit . You may type or write your your work in your copy of the quiz , or if you prefer create a document containing yo containing your work Scanned work is acceptable also . In your document , be sure to include your na ur name and the assertion of independence of work General quiz tips and instructi ons for submitting work are posted in the Qui wizzes module Read each question carefully . If you have any questions , please feel free to contact me 1 14 pest Solve the inequality x 2 3x and write the solution set in interval notation . Show work 2 . 14 pts ) Solve SO and write the solutions lution set in interval notation . Show work 3 . 1 4 pts ) Forf ( x ) = * + 3 x - 6 , use the Intermediate he Intermediate Value Theorem to determine which interval must contain a zero of f . Show work Between O and Between I and 2 Between 2 and 3 Between 3 and 44. (4 pts) Translate this sentence about volume into a mathematical equation. The volume V of wood is directly proportional to the height h and the square of the girth g. 5. (8 pts) Look at the graph of the quadratic function and complete the table. No explanations required Graph Fill in the blanks Equation State the vertex: The graph represents which of the following equations? Choice:_ State the range: . y = -x?+ 2x +6 State the interval on B. y = -2x? -4x +6 which the function is decreasing: C. y = 2x2 + 4x - 6 D. y = x? -2x-6topost Each graph below represents a polynomial function . Complete the following table No explanations required Graph Graph A Graph B Is the degree of the polynomial add or even ? ( choose one ) Is the leading coefficient of the polynomial positive or negative ? ( choose one ) How many real number zeros are there ? 7 . ( 12 pis ) Let P ( x ) 3 - 4 .5 x 2 - 0.5 x + 6 . When factored , P ( x ) ( 2 - 1 ) ( 2 + 2 ) ( * + 4 ) ( a ) State the domain ( b ) Which sketch illustrates the end behavior of the polynomial function ? B Eat Mat Soon Answer ( C ) State the y - intercept ( d ) State the real zeros ( e ) State which graph below is the graph of P ( X )\f\f\f11 18 post For = 2 Standwe I Gi finds That i determine and simplify as much as possible writing the result in the form a the where a and have real numbers . Show work 12 . 18 pis ) Consider the equation 25* + 1 = Gx . Find the complex solutions ( real and non -real ) of the equation , and simplify as much as possible . Show work .13 . ( 18 pis ) The cost in dollars for a company to produce a widgets is given by ( ( x ) 6x 1 3600 for 3600 1 3 0 and the price - demand function , in dollars per widget , is p(x ) 90 902 X for ( Ex- 2500 In Quiz 2 problem # 10 . we saw that the profit fun ction for this scenario is 0 021 4 4 4x 3600 ( 2 ) The profit function is a quadratic function and so so it's graph is a parabola Does the parabola open up or down ( explain why ) ? ( 6 ) Find the vertex of the profit function P( ) using algebra . Show algebraic work ( C ) State the maximum profit and the number of widgets which yield that max imum profit The maximum profit is widgets are produced and sold ( d ) Determine the price to charge per widget in order to maximize profit ( e ) Find and interpret the break - even points Round answer to nearest whole number . Show how work14 16 pts ) The faucet in Nancy's house can fill the sink in 6 minutes , while the drain can empty the sam sink in 9 minutes . If her son , Tommy , turns the faucet on and leaves the drain open , how much time does Nancy have to discover the open faucet before the sink is filled and starts to overflow ? In other words . how long will it take to fill the sink in which case , Nancy will have a mess on her hands )
