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

Step 1: Evaluate h(x) 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. Calculation: h(0) = -5(0 + 1)(0 - 9)Step 2: Substitute x = 0 into the function: Now, we substitute x = 0 into the function and simplify the expression to find the height at launch. Calculation: h(0) = -5(1)(-9) = -5 * -9 = 45Step 3: Simplify the expression: The height of the object at the time of launch is 45 meters.

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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. Its height (in meters), $x$ seconds after the launch, is modeled by $\newline$ $h(x)=-5(x+1)(x-9)$ $\newline$ What is the height of the object at the time of launch? $\text{meters}$

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Q. An object is launched from a platform. Its height (in meters),

x

seconds after the launch, is modeled by

\newline

h(x)=-5(x+1)(x-9)

\newline

What is the height of the object at the time of launch?

\text{meters}

Step $1$ : Evaluate $h(x)$ 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. $\newline$ Calculation: $h(0) = -5(0 + 1)(0 - 9)$
Step $2$ : Substitute $x = 0$ into the function: Now, we substitute $x = 0$ into the function and simplify the expression to find the height at launch. $\newline$ Calculation: $h(0) = -5(1)(-9) = -5 \times -9 = 45$
Step $3$ : Simplify the expression: The height of the object at the time of launch is $45$ meters.