Which represents the solution(s) of the system of equations, y = x^2 - 6x + 8 and y = -x + 4? Determine the solution set by graphing
(1,3) only
(2,0) and (4,0)
(1, 3) and (4,0)
no solutions

(1, 3) and (4,0)

Step-by-step explanation:

The quadratic function is

We can rewrite in the form

The graph is obtained by shifting the parent quadratic function 3 units right and 1 unit down to obtain the parabola shown in the attachment.

The straight line also have equation

The slope is -1 and y-intercept is 4.

We can easily graph this straight line on the same graph as shown in the attachment.

The two graphs intersected at (4,0) and (1,3).

The solution set is therefore  {(x,y)|x=4,y=0 or x=1,y=3}

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)