SOLUTION: My problem is the polynomial function f(x)=0.004x^3-0.15x^2+4.9x + 7. Find the height of the track for x = 30

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: My problem is the polynomial function f(x)=0.004x^3-0.15x^2+4.9x + 7. Find the height of the track for x = 30      Log On


   

Question 150958This question is from textbook
: My problem is the polynomial function f(x)=0.004x^3-0.15x^2+4.9x + 7. Find the height of the track for x = 30 This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=0.004x%5E3-0.15x%5E2%2B4.9x+%2B+7 Start with the given equation.


f%2830%29=0.004%2830%29%5E3-0.15%2830%29%5E2%2B4.9%2830%29+%2B+7 Plug in x=30.


f%2830%29=0.004%2827000%29-0.15%2830%29%5E2%2B4.9%2830%29%2B7 Cube 30 to get 27000.


f%2830%29=0.004%2827000%29-0.15%28900%29%2B4.9%2830%29%2B7 Square 30 to get 900.


f%2830%29=108-0.15%28900%29%2B4.9%2830%29%2B7 Multiply 0.004 and 27,000 to get 108


f%2830%29=108-135%2B4.9%2830%29%2B7 Multiply -0.15 and 900 to get -135


f%2830%29=108-135%2B147%2B7 Multiply 4.9 and 30 to get 147


f%2830%29=127 Combine like terms


So the height is 127 units (you forgot to include the units in the problem) when x=30