2/8/2016 NS116 Practice Final Mandie AdlerMOL NS116 (6 Week), section XM1A, Winter 2016 Instructor: Linda Desjardines WebAssign NS116 Practice Final (Homework) Current Score : - / 20 Due : Thursday, February 11 2016 11:59 PM CST 1. -/0.5 pointsAufColAlg7 2.2.031. Determine the domain of the function represented by the given equation. 9 x + 2 All real numbers f(x) = {x| x 2} {x| x 2} {x| x > 0} 2. -/0.5 pointsAufColAlg7 2.2.034.MI. Determine the domain of the function represented by the given equation. f(x) = 6 x {x| x 6} {x| x > 6} {x| x 6} All real numbers http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 1/19 2/8/2016 NS116 Practice Final 3. -/0.5 pointsAufColAlg7 2.3.019. Graph y as a function of x by finding the slope and yintercept of the line. y = 3x + 5 slope yintercept (x, y) = http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 2/19 2/8/2016 NS116 Practice Final 4. -/0.5 pointsAufColAlg7 2.6.001. Use the given functions f and g to find f + g, f g, fg, and f . State the domain of each. g f(x) = x2 4x 45, g(x) = x + 5 f + g = Domain: (, ) (4, 45) (45, 4) (, 5) (5, ) (,0) (0, ) (, 9) (9, ) f g = Domain: (, 9) (9, ) (45, 4) (, 5) (5, ) (,0) (0, ) (4, 45) (, ) fg = Domain: (4, 45) (, 5) (5, ) (, ) (, 9) (9, ) (,0) (0, ) (45, 4) f = g Domain: (, ) (45, 4) (,0) (0, ) (, 5) (5, ) (4, 45) http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 3/19 2/8/2016 NS116 Practice Final (, 9) (9, ) 5. -/0.5 pointsAufColAlg7 2.6.046. Find (g f)(x) and (f g)(x) for the given functions f and g. f(x) = 10 5 , g(x) = x 3 6x (g f)(x) = (f g)(x) = 6. -/0.5 pointsAufColAlg7 1.6.013. Write the equation that expresses the relationship between the variables. (Use k as the variation constant.) y varies directly as x. y = Use the given data to solve for the variation constant. y = 85 when x = 68. k = 7. -/0.5 pointsAufColAlg7 1.6.018. Write the equation that expresses the relationship between the variables, and then use the given data to solve for the variation constant k. (Round your answer to three decimal places.) u varies directly as v and inversely as the square root of w, and u = 0.04 when v = 8 and w = 0.04. u = k = http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 4/19 2/8/2016 NS116 Practice Final 8. -/0.5 pointsAufColAlg7 1.6.026. The range of a projectile is directly proportional to the square of its velocity. If a motorcyclist can make a jump of 140 feet by coming off a ramp at 30 mph, find the distance the motorcyclist could expect to jump if the speed coming off the ramp were increased to 35 mph. Round to the nearest tenth of a foot. ft 9. -/0.5 pointsAufColAlg7 1.6.039. The force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of its speed and inversely as the radius of the curve. It takes 2800 pounds of force to keep an 1800pound car from skidding on a curve with radius 400 feet at 50 mph. What force is needed to keep the same car from skidding when it takes a similar curve with radius 425 feet at 60 mph? Round to the nearest ten pounds. lb 10.-/0.5 pointsAufColAlg7 1.1.053.MI. The cost to install new carpet in an office is determined by a $500 fixed fee plus a fee of $30 per square yard of floor space to be covered. How many square yards of floor space can be carpeted at a cost of $3700? Round to the nearest square yard. sq yd http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 5/19 2/8/2016 NS116 Practice Final 11.-/0.5 pointsAufColAlg7 4.1.009.MI. Draw the graph of the inverse relation. Is the inverse relation a function? Yes No http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 6/19 2/8/2016 NS116 Practice Final 12.-/0.5 pointsAufColAlg7 4.1.033.MI. Find f 1(x). f(x) = 7x 8 f 1(x) = State any restrictions on the domain of f 1(x). x > 7 x , there are no restrictions on the domain x 8 x 7 x > 8 13.-/0.5 pointsAufColAlg7 4.1.043. Find f 1. f(x) = x 2 , x 2 f 1(x) = State any restrictions on the domain of f 1(x). x x 2 x > 2 x 2 x 0 http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 7/19 2/8/2016 NS116 Practice Final 14.-/0.5 pointsAufColAlg7 3.5.021. Determine the vertical and horizontal asymptotes. (Enter your answers as a commaseparated list. If an answer does not exist, enter DNE.) F(x) = 1 x + 8 vertical asymptote(s) x = horizontal asymptote(s) y = Sketch the graph of the rational function F. Label all intercepts and asymptotes. (Select the correct graph.) http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 8/19 2/8/2016 NS116 Practice Final 15.-/0.5 pointsAufColAlg7 3.5.031. Determine the vertical and horizontal asymptotes. (Enter your answers as a commaseparated list. If an answer does not exist, enter DNE.) F(x) = 1 x2 36 vertical asymptote(s) x = horizontal asymptote(s) y = Sketch the graph of the rational function F. Label all intercepts and asymptotes. (Select the correct graph.) http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 9/19 2/8/2016 NS116 Practice Final 16.-/0.5 pointsAufColAlg7 3.5.026. Determine the vertical and horizontal asymptotes. (Enter your answers as a commaseparated list. If an answer does not exist, enter DNE.) F(x) = 5 x vertical asymptote(s) x = horizontal asymptote(s) y = Sketch the graph of the rational function F. Label all intercepts and asymptotes. (Select the correct graph.) http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 10/19 2/8/2016 NS116 Practice Final 17.-/0.5 pointsAufColAlg7 3.5.043. Find the slant asymptote of the rational function. 2 F(x) = 3x + 2x 1 x + 4 y = http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 11/19 2/8/2016 NS116 Practice Final 18.-/0.5 pointsAufColAlg7 3.5.049. Determine the vertical and slant asymptotes. (Enter your answers as a commaseparated list. If an answer does not exist, enter DNE.) 2 F(x) = x 5 x vertical asymptote(s) x = slant asymptote y = Sketch the rational function. (Select the correct graph.) http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 12/19 2/8/2016 NS116 Practice Final 19.-/0.5 pointsAufColAlg7 1.2.004.MI. Solve the formula for the specified variable. A = P + Prt P (business) P = 20.-/0.5 pointsAufColAlg7 1.2.021. Solve by using the strategies for solving application problems. One way to approximate the height of a tree is to measure its shadow and then measure the shadow of a known height. Use similar triangles and the diagram below to estimate the height of the tree. (Where x = 8 ft.) h = ft 21.-/0.5 pointsAufColAlg7 1.2.054. Solve by using the strategies for solving application problems. A jeweler wants to make a silver alloy to be used to make necklaces. How many ounces of a silver alloy that costs $6.50 per ounce should be mixed with one that costs $8.00 per ounce to make a new 20ounce alloy that costs $7.40 per ounce? $6.50 grade oz $8.00 grade oz 22.-/0.5 pointsAufColAlg7 1.2.057. Solve by using the strategies for solving application problems. A painter can paint a kitchen in 10 hours. An apprentice can paint the same kitchen in 40 hours. If they worked together, how long would it take them to paint the kitchen? h http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 13/19 2/8/2016 NS116 Practice Final 23.-/0.5 pointsAufColAlg7 0.2.033. Write the exponential expression in simplest form. 3 5a5b5 15a7b9 24.-/0.5 pointsAufColAlg7 0.2.037. Write the exponential expression in simplest form. a9b 2 a9b9 25.-/0.5 pointsAufColAlg7 1.4.028.MI. Use the power principle to solve the radical equation. Check the proposed solution. (Enter your answers as a commaseparated list.) 16 x = 4 x = 26.-/0.5 pointsAufColAlg7 1.4.036. Solve the radical equation. (Enter your answers as a commaseparated list. If there is no solution, enter NO SOLUTION.) x = 17x 72 x = 27.-/0.5 pointsAufColAlg7 0.6.025.MI. Simplify and write the complex number in standard form. 7(6 + 5i) 6(7 4i) http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 14/19 2/8/2016 NS116 Practice Final 28.-/0.5 pointsAufColAlg7 0.6.029. Simplify and write the complex number in standard form. (2 6i)(3 + 8i) 29.-/0.5 pointsAufColAlg7 0.6.056. Evaluate the power of i. i82 30.-/0.5 pointsAufColAlg7 1.5.002. Use the properties of inequalities to solve the inequality. Write the solution set using setbuilder notation. 4x 7 > 17 { x | } Graph the solution set. http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 15/19 2/8/2016 NS116 Practice Final 31.-/0.5 pointsAufColAlg7 1.5.006. Use the properties of inequalities to solve the inequality. Write the solution set using setbuilder notation. 2(x 4) 4x + 1 {x | } Graph the solution set. 32.-/0.5 pointsAufColAlg7 4.5.027. Use algebraic procedures to find the exact solution(s) of the equation. (Enter your answers as a commaseparated list. If there is no solution, enter NO SOLUTION.) log(3x 6) = 2 + log(x 5) x = 33.-/0.5 pointsAufColAlg7 4.5.009.MI. Use algebraic procedures to find the exact solution(s) of the equation. (Enter your answers as a commaseparated list. If there is no solution, enter NO SOLUTION.) 3x = 42 x = http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 16/19 2/8/2016 NS116 Practice Final 34.-/0.5 pointsAufColAlg7 1.4.017. Solve the rational equation. (Enter your answers as a commaseparated list. If there is no solution, enter NO SOLUTION.) 2 3 = x + 2 2x 3 x = 35.-/0.5 pointsAufColAlg7 4.6.001. The number of bacteria N(t) present in a culture at time t hours is given by the following. N(t) = 2700(2)t Find the number of bacteria for the following values of t. (a) t = 0 hours bacteria (b) t = 2 hours bacteria 36.-/0.5 pointsAufColAlg7 4.6.002.MI. The population of a city grows exponentially according to the function N(t) = 2600(2)t for 0 t 5 years. Find, to the nearest hundred, the population of the city when t is the following number of years. (a) 2 years people (b) 4.75 years people http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 17/19 2/8/2016 NS116 Practice Final 37.-/0.5 pointsAufColAlg7 2.4.001. For the given quadratic function, which is the correct graph? f(x) = x2 2 38.-/0.5 pointsAufColAlg7 2.4.040. Find the maximum or minimum value of the function. State whether this value is a maximum or a minimum. f(x) = x2 + 12x 8 Select 39.-/0.5 pointsAufColAlg7 1.3.040. Solve the quadratic equation by completing the square. (Enter your answers as a commaseparated list.) x2 + 5x 4 = 0 x = http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 18/19 2/8/2016 NS116 Practice Final 40.-/0.5 pointsAufColAlg7 6.1.021. Solve the system of equations by the elimination method. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.) 3x y = 7 2x + 5y = 18 (x, y) = http://www.webassign.net/web/Student/AssignmentResponses/last?dep=12914390 19/19