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BB Matt jumped from a bungee tower, which was 729 feet high. Find the time taken by him to reach the ground, if the equation that models his height is h = - 16t2 + 729, where t is the time in seconds.
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BB Find the solutions of the quadratic equation p2 + 11p + 30 = 0.
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BB Brad throws a pen from the top of a 124 feet tall building with an initial downward velocity of - 30 feet per second. How long will the pen take to reach the ground?
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| e Write the equation - d2 + 4 = 8d - 5d2 in the standard form. e |
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e Find the values of 6j, in the equation 14 j 2 - 1 = 12 j + 1.
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| e Compare 1516n2 - 6 = 14n - 1 with the standard form and find the value of b2 - 4ac. e |
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e Which of the following quadratic equations has the solutions [7±(49+24)]6?
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| e What are the values of a, b and c in the quadratic formula used to solve the equation 7e2 - 5 + e = - e2 + 6e? e |
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| e What are the values of a, b and c in the equation 4f 2 - 2f + 48 = 0, which is in the standard form? e |
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e Write the equation 14g2 - 3 = - 1920g, in the standard form.
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e Find the value of b2 - 4ac, for the equation -6z2 - 19z - 10 = 0.
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| e Rewrite the equation 3h22 + 5 = h2 + (11h10), into the standard form and identify the values of a, b and c. e |
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| e Find the x-intercepts of the graph of y = - x2 - 2x + 35. e |
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| e Nina dives into a pool from the diving board, which was 4 feet high from the water. She dives with an initial downward velocity of - 12 feet per second. If the equation to model the height of the dive is h = - 16t2 + (- 12)t + 4, then find the time in seconds taken by Nina to reach the water level. e |
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e Justin stands on a bridge 73.5 feet above the ground holding an apple. He throws it with an initial downward velocity of - 25 feet per second. How long will it take for the apple to reach the ground, if the vertical motion is given by the equation h = - 16t2 + vt + s.
(s = 73.5 feet)
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| e Find the x-intercepts of the graph of y = x2 + 7x - 44. e |
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| e A stone is dropped from a height of 25 feet above the ground. The height of the stone is modeled by the equation h = - 16t2 + 25, where t is the time in seconds. Find the time taken for the stone to hit the ground. e |
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e Tim runs a textile company that manufactures T-shirts. The profit made by the company is modeled by the function p = s2 + 6s - 1755, where s is the number of T-shirts sold. Find the least number of T-shirts to be sold so that Tim does not end up in a loss.
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e Josh drops a ball from a height of 100 feet above the ground. Calculate the time taken by the ball to hit the ground, if its height is given by the equation h = - 16t2 + 100, where t is the time in seconds.
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| e What are the values of a, b and c in the equation 4f 2 - 8f + 36 = 0, which is in the standard form? e |
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| e Tommy throws a pencil from a building with an initial downward velocity of - 10 feet per second. How long will the pencil take to reach the ground, if the height of the pencil from the ground is modeled by the equation h = - 16t2 - 10t + 125, where t is the time in seconds? e |
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| e What are the values of a, b and c in the equation 5f 2 - 3f + 43 = 0, which is in the standard form? e |
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e Write the equation 13g2 - 3 = - 1112g, in the standard form.
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| e Write the equation - d2 + 3 = 8d - 8d2 in the standard form. e |
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e Find the value of b2 - 4ac, for the equation -20b2 - 35b - 15 = 0.
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e Find the solutions of the quadratic equation p2 + 6p + 9 = 0.
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e Jake throws a pen from the top of a 124 feet tall building with an initial downward velocity of - 30 feet per second. How long will the pen take to reach the ground?
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| e Which of the following are the solutions of the quadratic equation ax2 + bx + c = 0, when a ≠ 0 and b2 - 4ac ≥ 0? e |
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| e What are the values of a, b and c in the quadratic formula used to solve the equation 3e2 - 3 + e = - e2 + 4e? e |
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e Find the values of 5j, in the equation 16 j 2 - 2 = 13 j + 2.
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| e Solve the equation 13k2 - 3k + 6 = 0 by using the quadratic formula. e |
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| e Compare 1415n2 - 4 = 15n - 2 with the standard form and find the value of b2 - 4ac. e |
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e Which of the following quadratic equations has the solutions [9±(81+48)]8?
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| e Find the x-intercepts of the graph of y = - x2 - 3x + 28. e |
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| e Hanna dives into a pool from the diving board, which was 16 feet high from the water. She dives with an initial downward velocity of - 24 feet per second. If the equation to model the height of the dive is h = - 16t2 + (- 24)t + 16, then find the time in seconds taken by Hanna to reach the water level. e |
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e John stands on a bridge 73.5 feet above the ground holding an apple. He throws it with an initial downward velocity of - 25 feet per second. How long will it take for the apple to reach the ground, if the vertical motion is given by the equation h = - 16t2 + vt + s.
(s = 73.5 feet)
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| e Find the x-intercepts of the graph of y = x2 + 2x - 15. e |
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| e A stone is dropped from a height of 9 feet above the ground. The height of the stone is modeled by the equation h = - 16t2 + 9, where t is the time in seconds. Find the time taken for the stone to hit the ground. e |
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e Tim runs a textile company that manufactures T-shirts. The profit made by the company is modeled by the function p = s2 + 3s - 990, where s is the number of T-shirts sold. Find the least number of T-shirts to be sold so that Tim does not end up in a loss.
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e A tennis player hits a ball when it is 8 feet off the ground. The ball is hit with an upward velocity of 8 feet per second. After the ball is hit, its height h(in feet) is modeled by h = - 16t2 + 8t + 8, where t is the time in seconds. How long will it take the ball to reach the ground?
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e Write the equation which is used to model the height of an object that is thrown down with an initial velocity of - 9 feet per second from a height of 28 feet.
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e George drops a ball from a height of 49 feet above the ground. Calculate the time taken by the ball to hit the ground, if its height is given by the equation h = - 16t2 + 49, where t is the time in seconds.
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| e What are the values of a, b and c in the equation 2f 2 - 9f + 11 = 0, which is in the standard form? e |
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| e Rewrite the equation 4h23 + 7 = h2 + (7h6), into the standard form and identify the values of a, b and c. e |
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e Write the equation which is used to model the height of an object that is thrown down with an initial velocity of - 3 feet per second from a height of 19 feet.
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e Solve the equation 13k2 - 3k + 6 = 0 by using the quadratic formula.
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