Question
Kenny is of a boulder at his neighborhood pondHe picks a that the groundand throws the rock into the The height of the can modeled by the - 16x ^ 2 + 32x + 7 What does 7 represent in the context of the problem ? point ) the number at the make as a the the the when
Answers
GPT-4o mini
In the given problem, the equation that models the height of the rock thrown by Kenny is:
\[ h(x) = -16x^2 + 32x + 7 \]
Here, \( h(x) \) represents the height of the rock at time \( x \) seconds after it has been thrown.
In the context of this problem, the constant term \( 7 \) represents the initial height from which the rock is thrown. Therefore, when \( x = 0 \) (at the moment the rock is thrown), the height can be calculated as:
\[ h(0) = -16(0)^2 + 32(0) + 7 = 7 \]
This means the rock is thrown from a height of 7 units (for example, 7 feet or 7 meters, depending on the measurement unit used) above the ground.
\[ h(x) = -16x^2 + 32x + 7 \]
Here, \( h(x) \) represents the height of the rock at time \( x \) seconds after it has been thrown.
In the context of this problem, the constant term \( 7 \) represents the initial height from which the rock is thrown. Therefore, when \( x = 0 \) (at the moment the rock is thrown), the height can be calculated as:
\[ h(0) = -16(0)^2 + 32(0) + 7 = 7 \]
This means the rock is thrown from a height of 7 units (for example, 7 feet or 7 meters, depending on the measurement unit used) above the ground.