2. (09.04 MC)If (x + 1)2 = 55, what is the approximate positive value of x? (5 points)
2.71
5.42
6.42
7.35
3. (08.07 MC)Which statement best describes the graph of ?x3 ? x2 + 4x + 4? (5 points)
It starts down on the left and goes up on the right and intersects the x-axis at x = ?2, 2, and 4.
It starts down on the left and goes up on the right and intersects the x-axis at x = ?2, ?1, and 2.
It starts up on the left and goes down on the right and intersects the x-axis at x = ?2, ?1, and 2.
It starts up on the left and goes down on the right and intersects the x-axis at x = ?2, 2, and 4.
4. (08.06 LC)Which of the following represents the factored form of f(x) = x3 ? 64x? (5 points)
f(x) = x(x + 8)(x ? 8)
f(x) = (x ? 8)(x + 8)
f(x) = x(x ? 8)2
f(x) = x(x2 ? 8)
13. (09.06 LC) All changes saved The graphs of f(x) and g(x) are shown below: 10 CO f(x) 4 -3 -2 -12 Q1 2 3 5 g(x) -12 What are the solutions to the equation f(x) = g(x)? (5 points) O X = -3, 4 O X= -3.8, -0.4 O X= -3.8, 3 x = 6.5, -6All changes saved 11. (09.05 MC) A punter kicks a football upward with an initial speed of 48 feet per second. After how many seconds does the ball hit the ground? Use the formula h = rt - 16t where h represents height in feet and r represents the initial speed. (5 points) 12. (09.04 LC) What are the exact solutions of x2 - 3x - 1 = 0? (5 points) O x = 3+ v5 2 x= -3+ v5 2 O x = 3+ v13 2 O x= -3+ v13 27. (09.06 LC) A company launches 4 new products. The market price, in dollars, of the 4 products after a different number of years, x, is shown in the following table: Product Function Year 1 Year 2 Year 3 (dollars) (dollars) (dollars) Product 1 f(x) = x3 1 8 27 Product 2 g(x) = x2 + 11 12 15 20 Product 3 h(x) = 4* 4 16 64 Product 4 j(x) = 4x + 8 12 16 20 Based on the data in the table, for which product does the price eventually exceed all others? (5 points) Product 1 Product 2 Product 3 O Product 45. (09.01 MC) The following function represents the production cost f(x), in dollars, for x number of units produced by company 1: f(x) = 0.05x2 - 7x + 300 The following table represents the production cost g(x), in dollars, for x number of units produced by company 2: x g(x) 0.6 899.58 0.8 899.52 1 899.50 1.2 899.52 1.4 899.58 Based on the given information, the minimum production cost for company is greater. (5 points) [Put 1 or 2 in the blank space]All changes saved 10. (09.01 LC) The graphs of f(x) and g(x) are shown below: 16 14 12 10 8 6- g(x) f (x ) ON A 18-16-14-12-10 -8 76 -4 -2 0 2 If f(x) = (x + 7)2, which of the following is g(x) based on the translation? (5 points) O g(x) = (x+9)2 O g( x) = (x+5)2 O g( x) = (x+7)2 + 2 O g(x) = (x+7)2 - 214. (08.07 MC) All changes saved Which graph shows the quadratic function y = 3x2 + 12x + 14? (5 points) A C - N O 5 -4 -3 -2 12 3 4 ->X -4 -3 -2 -1 1 2 3 4 5 X B D 5 -4 -3 -2 12 ->X -4 -3 -2 -1 2 3 4 5XO A O B O c OD 15. (08.06 LC) Which numbers should be multiplied to obtain 1652 - 1232? (5 points) 42 and 42 42 and 288 1,764 and 1,764 4,202 and 4,248
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