SOLUTION: Solve: the polynomial function f(50)= 0.04^3-0.14x^2+5.1x+11 models the path of a portion of the track of a roller coaster as shown. x=50

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve: the polynomial function f(50)= 0.04^3-0.14x^2+5.1x+11 models the path of a portion of the track of a roller coaster as shown. x=50       Log On


   

Question 180769: Solve:
the polynomial function f(50)= 0.04^3-0.14x^2+5.1x+11 models the path of a portion of the track of a roller coaster as shown. x=50

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=0.04x%5E3-0.14x%5E2%2B5.1x%2B11 Start with the given equation.


f%2850%29=0.04%2850%29%5E3-0.14%2850%29%5E2%2B5.1%2850%29%2B11 Plug in x=50.


f%2850%29=0.04%28125000%29-0.14%2850%29%5E2%2B5.1%2850%29%2B11 Cube 50 to get 125000.


f%2850%29=0.04%28125000%29-0.14%282500%29%2B5.1%2850%29%2B11 Square 50 to get 2500.


f%2850%29=5000-0.14%282500%29%2B5.1%2850%29%2B11 Multiply 0.04 and 125000 to get 5000.


f%2850%29=5000-350%2B5.1%2850%29%2B11 Multiply -0.14 and 2500 to get -350.


f%2850%29=5000-350%2B255%2B11 Multiply 5.1 and 50 to get 255.


f%2850%29=4916 Combine like terms.



So the answer is f%2850%29=4916