Question 180769

{{{f(x)=0.04x^3-0.14x^2+5.1x+11}}} Start with the given equation.



{{{f(50)=0.04(50)^3-0.14(50)^2+5.1(50)+11}}} Plug in {{{x=50}}}.



{{{f(50)=0.04(125000)-0.14(50)^2+5.1(50)+11}}} Cube {{{50}}} to get {{{125000}}}.



{{{f(50)=0.04(125000)-0.14(2500)+5.1(50)+11}}} Square {{{50}}} to get {{{2500}}}.



{{{f(50)=5000-0.14(2500)+5.1(50)+11}}} Multiply {{{0.04}}} and {{{125000}}} to get {{{5000}}}.



{{{f(50)=5000-350+5.1(50)+11}}} Multiply {{{-0.14}}} and {{{2500}}} to get {{{-350}}}.



{{{f(50)=5000-350+255+11}}} Multiply {{{5.1}}} and {{{50}}} to get {{{255}}}.



{{{f(50)=4916}}} Combine like terms.




So the answer is {{{f(50)=4916}}}