The distance between (3, 1) and (6, 5) is 5.
D=√(x₂-x₁)²+(y₂-y₁)²
D=√(6-3)²+(5-1)²
D=√3²+4²
D=√9+16
D=√25
D=5
x^2 - 3x -28 ≥ 0
factor
(x-7) (x+4) ≥ 0
x=7 x=-4
we have three regions where the answers can lie
x<-4 between -4 and 7 and x>7
pick a point and see if it works
x=-10
(-10-7) (-10+4) ≥ 0
negative * negative is greater than 0 so this is a solution x< -4
x=0
(0-7) (+4) ≥ 0
negative * positive is less than 0 so this is not a solution
x=10
(10-7) (10+4) ≥ 0
positive * positive is greater than 0 so this is a solution x>7
We have two regions that work
x<-4 and x>7
Answer:
two tires for $35 -------------------------$70 total
three rims for $75--------------------------- $225
five headlights for $ 4.00 ----------------$20
Emma spends ($225+$70+$20) =$315
Now Emma sells them for 2 tires for $65 =130
3 rims for $136 = $408
5 headlights for $15 = $75
total money Emma makes = $613.
the profit is $613- $315= $298
the profit is $298
