Richard ran 14.5 km in the morning. After lunch, he continued running. When he finished the run, he had covered 32.9 km in all. Write an equation that can be used to find how far Richard ran after
lunch
Let n be the distance in kilometers that Richard ran after lunch.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

i got 86 for this

hope this !

if you need an explanation just ask

ratio is 2 : 9

the answer is three

13.5 : 3

15.36 per mile

but forgot to round

i am pretty sure