1(Identifying):
Tomatoes-x--$3 per lb
Mushrooms- 1/3 x-- $10 per lb
Peaches- x+1-- $6 per lb
2(Equation):
3x+6(x+1)+1/3x*10=80
3x+6x+6+10/3 x=80
12 1/3 x= 74
x=74÷(12+1/3)
Step 3(Final Equations):
74*3/37=6=tomatoes
Meaning...
6+1=7=Peaches
6/3=2= mushrooms
Answer:
7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms
We have
f(x)=<span>−x</span>²<span>+ 5x + 6
g(x)=</span><span>3x − 2
we know that
f(x)=g(x)
the solution is the intersection both graphs
using a graph tool
see the attached figure
the solution are the points(4,10)and(-2,-8)</span>
Answer:
V = x(19-2x)(4-2x)
Step-by-step explanation:
We are given;
Length of flat piece of material =19 inches
Width of flat piece = 4 inches
We are told that the open box is to be made from a flat piece by cutting equal squares of length x from the corners and folding up the sides
Thus, we will now have;
length of open box = (19-2x) inches
Width of open box = (4-2x) inches
Height of box = x inches
We know that: Volume of box = length × width × height
So, plugging in the relevant values, we have;
Volume of box(V) = x(19-2x)(4-2x)