SOLUTION: The yearly budget B (in billions of dollars) for NASA is approximated by the quadratic equation B=0.0596x^2-.3811x+14.2709 where x is the number of years since 1995 and 0<= x <= 9.

Question 983452: The yearly budget B (in billions of dollars) for NASA is approximated by the quadratic equation B=0.0596x^2-.3811x+14.2709 where x is the number of years since 1995 and 0<= x <= 9. In what year does the model indicate that NASA's budget was $15 billion? Round to the nearest year.

The answer is, In 2003, NASA's budget was $15 billion.
But how to solve?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
15=0.0596x^2-.3811x+14.2709
0.0596x^2-.3811x-0.7291=0
quadratic formula
(1/0.1192){0.3811 +/- sqrt[0.1452+0.1738]}; The square root is of (0.3190)=0.5648
x=8.3893*(0.3811+0.5648)=8.3893*0.9459
x=7.935
x will equal 8
the year will be 2003
Check

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