In the year 2005, the average cost of a car could be modeled by the equation c= -15x2 + 20x - 3 where x is the number of years since 2005. by the year 2010 the average cost had changed, and the equation could be modeled by c= -10x2 + 30x - 2. find the difference in average cost equation for cars between 2005 and 2010.

ANSWER

EXPLANATION

The average cost equation in the year 2005 is:

The average cost equation in the year 2010 is

The difference in average cost equation for cars between 2005 and 2010 is

We regroup the terms to get,

Combine the similar terms to

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)