Quadratic Expressions Worksheet With Answers - Mrs. Grieser Page 4
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9Algebra 2 STUDY GUIDE AII.4, AII.5, AII.8 Quadratics
Mrs. Grieser Page 4
Each year a school’s booster club holds a dance to raise funds. In the past, the profit the
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club makes after paying for the bank and other costs has been modeled by the function
P(t) = -16t
+ 800t – 4000, where t represents the ticket price in dollars. What ticket
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price gives the maximum profit, and what is the maximum profit?
A professional pyrotechnician shoots fireworks vertically into the air from the ground
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with an initial velocity of 192 feet per second. The height in feet of the fireworks is given
by h(t) = -16t
+ 192t. How long does it take for the fireworks to reach its maximum
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height? What is the maximum height?
The power, in megawatts, produced between midnight and noon by a power plant is
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given by P = h
– 12h + 210, where h is the hour of the day. At what time does the
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minimum power production occur? What is the minimum power production?
A soccer ball is kicked from the ground, and its height in meters above ground is
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modeled by the function h(t) = -4.9t
+ 19.6t, where t represents the time in seconds
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after the ball is kicked. How long is the ball in the air?
The system of equations at right appears to have how many
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solutions?
What is the total number of points of intersection of the graphs of the equations
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x
+ y
= 16 and y = x?
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What is the total number of points of intersection of the graphs of the equations
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x
+ y
= 16 and y = 4?
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The sum of two numbers is 10, and the sum of their squares is 58. Find the numbers.
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