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1 (1 point) Solve the problem. The supply function for a certain car is given by p = 31(3 q) cars, where p dollars is
1 (1 point) Solve the problem. The supply function for a certain car is given by p = 31(3 q) cars, where p dollars is the price per car and q is the quantity of cars, in thousands, supplied at that price. What quantity will be supplied if the price is $22,599 per car? Question 1 options: a) 5 thousand cars b) 6 thousand cars c) 8 thousand cars d) 7 thousand cars Save Question 2 (1 point) Solve the polynomial equation by factoring. x4 - 81 = 0 Question 2 options: a) 3, -3 b) 6, -6 c) 9, -9 d) 18, -18 Save Question 3 (1 point) Find the inverse of the function. f(x) = x3 - 5 Question 3 options: a) f-1(x) = b) f-1(x) = c) f-1(x) = +5 d) Not a one-to-one function Save Question 4 (1 point) Find the requested composition of functions. Given f(x) = |15 - x| and g(x) = 3x + 8, find (f g)(x). Question 4 options: a) |23 - 3x| b) 3|15 - x| + 8 c) |7 - 3x| d) |7 + 3x| Save Question 5 (1 point) Solve the problem. A manufacturer of DVD players has monthly fixed costs of $3500 and variable costs of $30 per DVD player and it sells the DVD players for $150 per unit. Write the function that models the profit P from the production and sale of x DVD players in a month. Question 5 options: a) P = 120x - 3500 b) P = 120x + 3500 c) P = 3500x - 120 d) P = 180x - 3500 Save Question 6 (1 point) Give the equations of any horizontal asymptotes for the graphs of the rational functions. h(x) = Question 6 options: a) none b) y = 2 c) y = 4 d) y = Save Question 7 (1 point) Predict the end behavior of the graph of the function. f(x) = 1.25x4 + 3x2 + x - 1 Question 7 options: a) Up on left side, down on right side b) Up on both sides c) Down on left side, up on right side d) Down on both sides Save Question 8 (1 point) Solve the problem. Wind speed varies in the first twenty meters above the ground. For a particular day, let model the wind speed x meters above the ground. At what height is the wind speed 9 meters per second? Round results to the nearest hundredth. Question 8 options: a) 0.64 m b) 1.56 m c) 0.44 m d) 1.53 m Save Question 9 (1 point) Use the properties of logarithms to evaluate the expression. log 10-28 Question 9 options: a) 28 b) -28 c) log -28 d) 28 log 10 Save Question 10 (1 point) Graph the function. f(x) = Question 10 options: a) b) c) d) Save Question 11 (1 point) Write the logarithmic equation in exponential form. log464 = 3 Question 11 options: a) 643 = 4 b) 464 = 3 c) 43 = 64 d) 34 = 64 Save Question 12 (1 point) Solve the equation. 3(4x - 2) = 22 Round to three decimal places. Question 12 options: a) 0.203 b) 2.333 c) 0.998 d) 1.203 Save Question 13 (1 point) Rewrite as a single logarithm. log2 x4 + log2 x4 - log2 x Question 13 options: a) log2 x9/2 b) log2 x8 c) log2 x17/6 d) log2 x7 Save Question 14 (1 point) Solve the problem. The polynomial approximates the shark population in a particular area, where x is the number of years from 1985. Use a graphing calculator to describe the shark population from the years 1985 to 2010. Question 14 options: a) The population increases. b) The population remains stable. c) The population decreases. Save Question 15 (1 point) Solve the problem. Find the exponential function that models the data in the table below. Question 15 options: a) f(x) = -20.4 1.6x b) f(x) = - 34 0.6x c) f(x) = 12.24 1.4x d) f(x) = -12.24 0.6x
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