Combined SAT Scores in the United States Could Be Approximated $T ( t ) = - 0.01774 t ^ { 3 } + 0.5928 t ^ { 2 } - 10.91 t + 1025$

question 31

Essay

Combined SAT scores in the United States could be approximated by
​ $T ( t ) = - 0.01774 t ^ { 3 } + 0.5928 t ^ { 2 } - 10.91 t + 1025$ ​
in the years 1964 - 1986. Here t is the number of years since 1964, and T is the combined SAT score average for the United States. Find all points of inflection of the graph of T, and interpret the result.
​
Enter your answers rounded to the nearest hundredth.

---

Definitions:

Anesthetic

A substance used to induce insensitivity to pain, typically during surgical procedures.

Scrub

(1) Claim scrubbing ensures that claims are correctly coded before being sent to the insurance company, which reduces denials and increases payments to the practice; (2) Specific and thorough hand-washing procedure performed for six minutes before taking part in any sterile surgical procedure.

Hand Washing

The act of cleansing the hands with soap and water or sanitizer to remove dirt, pathogens, or other substances.

Surgical Procedure

A medical intervention involving an incision with instruments performed to repair damage or arrest disease in a living body.