17/30, The peanuts by a dollar per pound (peanuts cost $3, walnuts cost $2), $21, 40072/100 (and I'm not sure how you would reduce it) Good luck!
For it to be a solution, it has to satisfy both inequalities...
subbing in (-4,-1)
2x + y < -5 -x + y > 0
2(-4) - 1 < - 5 -(-4) - 1 > 0
-8 - 1 < -5 4 - 1 > 0
-9 < -5.....true 3 > 0....true
solution is (-4,-1)
If we write y=f(x)=(x-h)²+k, then y-k=(x-h)². This is vertex form where the vertex is (h,k)=(3,3) so h and k are both 3. We can see this if we put x=3 in the shifted function. This is a minimum point for the function because for every other x f(x) is greater then 3. The minimum point is the vertex.
10 (> or = to) 2.00 + 0.75x
Sorry. I don't have that symbol on my keyboard. but her ten dollars has to be greater than or equal to whatever the cost is so that's why that symbol has to be used in this case. 2.00 is the flat rate and add 0.75 multiplied by however many miles she is taking!
Hope this helps!
