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An object is launched from a platform.
Its height (in meters), x seconds after the launch, is modeled by

h(x)=-5(x+1)(x-9)
What is the height of the object at the time of launch?

◻ meters

An object is launched from a platform. \newlineIts height (in meters), xx seconds after the launch, is modeled by\newlineh(x)=5(x+1)(x9)h(x)=-5(x+1)(x-9)\newlineWhat is the height of the object at the time of launch?\newline \square meters\text{meters}

Full solution

Q. An object is launched from a platform. \newlineIts height (in meters), xx seconds after the launch, is modeled by\newlineh(x)=5(x+1)(x9)h(x)=-5(x+1)(x-9)\newlineWhat is the height of the object at the time of launch?\newline \square meters\text{meters}
  1. Evaluate at x=0x=0: To find the height of the object at the time of launch, we need to evaluate the function h(x)h(x) at x=0x = 0, since the time of launch corresponds to the initial time, which is 00 seconds after the launch.
  2. Substitute x=0x=0: Substitute x=0x = 0 into the height function h(x)=5(x+1)(x9)h(x) = -5(x+1)(x-9).\newlineh(0)=5(0+1)(09)h(0) = -5(0+1)(0-9)
  3. Perform multiplication: Perform the multiplication inside the parentheses.\newlineh(0)=5(1)(9)h(0) = -5(1)(-9)
  4. Find height at launch: Multiply the numbers together to find the height at the time of launch.\newlineh(0)=5×1×9h(0) = -5 \times 1 \times -9\newlineh(0)=45h(0) = 45

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