A hovercraft takes off from a platform. Its height (in meters), x seconds after takeoff, is modeled byh(x)=−(x−11)(x+3)What is the height of the hovercraft at the time of takeoff?meters
Q. A hovercraft takes off from a platform. Its height (in meters), x seconds after takeoff, is modeled byh(x)=−(x−11)(x+3)What is the height of the hovercraft at the time of takeoff?meters
Takeoff time: The time of takeoff is when x=0, since x represents the time in seconds after takeoff. To find the height of the hovercraft at takeoff, we need to evaluate the function h(x) at x=0.
Height at takeoff: Substitute x=0 into the function h(x) to find the height at takeoff.h(0)=−(0−11)(0+3)
Substitute x=0: Perform the calculations inside the parentheses first.h(0)=−(−11×3)
Perform calculations: Multiply the numbers inside the parentheses.h(0)=−(−33)
Multiply numbers: A negative times a negative is a positive, so we simplify the expression. h(0)=33
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