mpm2dc_key_questions_unit4_ASHUR2003.docx

# C x 2 2 3 2 x 1 1 3 the equation of the axis of

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c) x = 2 + 2 3 2 x =− ¿ 1 1 3 The equation of the axis of symmetry x =− 1 1 3 d) y = ( 3 x + 2 ) ( x + 2 ) y = ( 3 ( 4 3 ) + 2 ) ( 4 3 + 2 ) y = 4 3 The vertex of the parabola is at ( 4 3 , 4 3 ) . e) 47. a) y =− 4.5 x 2 + 9 x + 15 y =− 4.5 ( x 2 2 x + 1 1 ) + 15 y =− 4.5 [ ( x 1 ) 2 1 ] + 15 y =− 4.5 ( x 1 ) 2 + 19.5 The y -intercept is located at ( 0,15 ) The equation of the axis of symmetry is x = 1 The vertex of the parabola is located at ( 1,19.5 ) b) There are two roots in the equation. c) x = b 2 4 ac 2 a x = 9 ± 9 2 4 ( 4.5 ) ( 15 ) 2 (− 4.5 )

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x = 9 ± 81 −(− 270 ) 9 x = 9 ± 351 9 x 1 = 9 + 18.73 9 x 2 = 9 18.73 9 x 1 =− 1.08 x 2 = 3.08 The x -intercepts of the parabola are x 1 =− 1.08 and x 2 = 3.08 d) x 1 =− 1.08 is in admissible because a diver cannot start diving before 0 seconds. 48. a) An expression to describe the number of tables the carpenter can expect to sell based on the number of reductions is 25 + 3 x where x = ¿ the number of two dollar reductions. b) Let y = total income x = ¿ the number of reductions y =( 95 2 x )( 25 + 3 x ) c) To find the necessary number of two-dollar reductions in order to make \$3600 I need to put y = 3600 in the equation ( 95 2 x )( 25 + 3 x )= 3600 ( 95 × 25 )+( 3 x × 95 )+(− 2 x × 25 )+(− 2
• Spring '17
• Quadratic equation, 24 hours, Carpenter, 0 seconds, \$3600, two-dollar

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