The number of new prison admissions (into state or federal facilities) between 2002 and 2011 is given by the function N(t) = −87.244444t3 − 2482.35t2 + 46009.26t + 579185 (2 ≤ t ≤ 11) where t is measured in years, with t = 2 corresponding to 2002.† Show that the number of new prison admissions peaked in 2006 by finding the time t where N(t) has a maximum. Hint: Use the quadratic formula. (Round your answer to two decimal places.) t = What was N(t), the highest number of new inmates, at that time? (Round your answer to the nearest whole number.)
The number of new prison admissions (into state or federal facilities) between 2002 and 2011 is given by the function N(t) = −87.244444t3 − 2482.35t2 + 46009.26t + 579185 (2 ≤ t ≤ 11) where t is measured in years, with t = 2 corresponding to 2002.† Show that the number of new prison admissions peaked in 2006 by finding the time t where N(t) has a maximum. Hint: Use the quadratic formula. (Round your answer to two decimal places.) t = What was N(t), the highest number of new inmates, at that time? (Round your answer to the nearest whole number.)
The number of new prison admissions (into state or federal facilities) between 2002 and 2011 is given by the function N(t) = −87.244444t3 − 2482.35t2 + 46009.26t + 579185 (2 ≤ t ≤ 11) where t is measured in years, with t = 2 corresponding to 2002.† Show that the number of new prison admissions peaked in 2006 by finding the time t where N(t) has a maximum. Hint: Use the quadratic formula. (Round your answer to two decimal places.) t = What was N(t), the highest number of new inmates, at that time? (Round your answer to the nearest whole number.)
corresponding to 2002.† Show that the number of new prison admissions peaked in 2006 by finding the time t where N(t) has a maximum. Hint: Use the quadratic formula. (Round your answer to two decimal places.)
t =
What was N(t), the highest number of new inmates, at that time? (Round your answer to the nearest whole number.)
Formula Formula A polynomial with degree 2 is called a quadratic polynomial. A quadratic equation can be simplified to the standard form: ax² + bx + c = 0 Where, a ≠ 0. A, b, c are coefficients. c is also called "constant". 'x' is the unknown quantity
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
