An object is launched from a platform. Its height (in meters), x seconds after the launch, is modeled byh(x)=−5(x+1)(x−9)What is the height of the object at the time of launch?□meters
Q. An object is launched from a platform. Its height (in meters), x seconds after the launch, is modeled byh(x)=−5(x+1)(x−9)What is the height of the object at the time of launch?□meters
Evaluate at x=0: To find the height of the object at the time of launch, we need to evaluate the function h(x) at x=0, since the time of launch corresponds to the initial time, which is 0 seconds after the launch.
Substitute x=0: Substitute x=0 into the height function h(x)=−5(x+1)(x−9).h(0)=−5(0+1)(0−9)
Perform multiplication: Perform the multiplication inside the parentheses.h(0)=−5(1)(−9)
Find height at launch: Multiply the numbers together to find the height at the time of launch.h(0)=−5×1×−9h(0)=45