Question
Simplify the following quadratic equations and rewrite them in standard form. After rewritten, identify the \( a, b \), and \( c \) terms. \( h(t)=-t(16 t+7) \) Standard Form: \( h(t)=\square, b=\square \), and \( c=\square \)
Ask by Rodriquez Montgomery. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( h(t) = -16t² - 7t \), \( a = -16 \), \( b = -7 \), and \( c = 0 \).
Solution
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The Deep Dive
First, let's simplify the equation \( h(t) = -t(16t + 7) \). Distributing gives us: \[ h(t) = -16t^2 - 7t \] Now, rewriting this in standard form \( h(t) = at^2 + bt + c \): \[ h(t) = -16t^2 - 7t + 0 \] In this equation, we can identify \( a, b, \) and \( c \): \( a = -16, b = -7, \) and \( c = 0 \).