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At the end of her juggling act for the school talent show, Wendy throws her last juggling club high up into the air. The club's height above the ground in meters can be modeled by the expression 4.9t2+8t+1.2-4.9t^2 + 8t + 1.2, where tt is the time in seconds after the club leaves Wendy's hand.\newlineWhat does the number 1.21.2 represent in the expression?\newlineChoices:\newline(A)the height in meters of the club when it reaches its highest point\newline(B)the time in seconds from when the club leaves Wendy's hand until it reaches its highest point\newline(C)the height in meters of the club when it leaves Wendy's hand\newline(D)the time in seconds from when the club leaves Wendy's hand until it hits the ground\newline

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Q. At the end of her juggling act for the school talent show, Wendy throws her last juggling club high up into the air. The club's height above the ground in meters can be modeled by the expression 4.9t2+8t+1.2-4.9t^2 + 8t + 1.2, where tt is the time in seconds after the club leaves Wendy's hand.\newlineWhat does the number 1.21.2 represent in the expression?\newlineChoices:\newline(A)the height in meters of the club when it reaches its highest point\newline(B)the time in seconds from when the club leaves Wendy's hand until it reaches its highest point\newline(C)the height in meters of the club when it leaves Wendy's hand\newline(D)the time in seconds from when the club leaves Wendy's hand until it hits the ground\newline
  1. Expression for club's height: The expression for the club's height is 4.9t2+8t+1.2-4.9t^2 + 8t + 1.2.
  2. Identify parts of equation: Identify the parts of the quadratic equation: 4.9t2-4.9t^2 (acceleration due to gravity), 8t8t (initial velocity), and 1.21.2 (initial height).
  3. Constant term meaning: The number 1.21.2 is the constant term in the quadratic equation, which represents the initial height of the club when t=0t=0.
  4. Correct choice explanation: Since the question asks what 1.21.2 represents, and we've identified it as the initial height, the correct choice is (C) the height in meters of the club when it leaves Wendy's hand.

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