Answer:
,
Step-by-step explanation:
The function of the graph can be written in the vertex form as
, where V(h,k)=V(2,4) is the vertex of the quadratic function.
We substitute the value to obtain;
,
The point (5,1) lies on the graph so we use it to determine the value of a.
,
,
,
The required equation is
,
Person A takes 2.3 days to paint the house working alone
Person B takes 13.8 days to paint the house working alone
<em><u>Solution:</u></em>
Let "x" be the number of days it takes person A to paint the house
Person A can paint the neighbor's house 6 times as fast as Person B
Therefore.
Number of days it takes person B to paint the house = 6x
Their rates of painting are added to get the rate working together
Thus person A takes 2.3 days to paint the house working alone
Person B = 2x = 6(2.3) = 13.8
Thus person B takes 13.8 days to paint the house working alone