contestada

1. A train travels along a straight track so that its distance in miles, d(t), from Newark Penn Station is given as a function of time, t minutes. If after 2 minutes the train has traveled 6 miles, and after 5 minutes the train has traveled 12 miles, the average rate (think slope!) that the train travels is 2 with a unit of miles/ minute

Respuesta :

Start by finding the functions f(x) and g(x)

for f(x)

slope

[tex]\begin{gathered} m=\frac{(1-(-1))}{(0-1)} \\ m=-2 \end{gathered}[/tex]

y intercept= 1

full equation will be

[tex]f(x)=-2x+1[/tex]

find g(x)

slope

[tex]\begin{gathered} m=\frac{3-(-3)}{1-0} \\ m=6 \end{gathered}[/tex]

y intercept= -3

full equation will be

[tex]g(x)=6x-3[/tex]

multiply the functions

[tex]\begin{gathered} (6x-3)\cdot(-2x+1) \\ -12x^2+6x+6x-3 \\ h(x)=-12x^2+12x-3 \end{gathered}[/tex]

the y-intercept will be -3

Otras preguntas