We see that CF and DE are parallel to each other, which means that they had the same length with each other, so:
6n-1=5n+9
Subtract 5n for both side
6n-1-5n=5n+9-5n
n-1=9
Add 1 for both side
n-1+1=9+1
n=10
CF=
6n-1
=6(10)-1
=60-1
=59
DE=
5n+9
=5(10)+9
=50+9
=59
CD/FE:
4n+2
=4(10)+2
=42
True/False:
n=10 True
n=7 False
CF=59 True
FE=42 True
CD=30 False. As a result, n=10;CF=59; and FE=42 is your final answer. Hope it help!
9514 1404 393
Answer:
C- (14, 4); The vertex represents the maximum profit.
Step-by-step explanation:
The leading coefficient of the quadratic function is negative, so the graph opens downward, and the vertex represents a maximum.
The maximum value is at ...
x = -b/(2a) = -28/(2(-1)) = 14
f(14) = -14^2 +28(14) -192 = 4
The vertex is (14, 4). It represents the maximum profit.
x+y-z+w = 10--------(1)
x+3y-4z+5w=26------(2)
x+4y-7z+7w = 37-------(3)
x+2y-3z+6w = 22--------(4)
Subtract equation (1) from (2)
x+3y-4z+5w - (x+y-z+w) = 26 - 10
2y + -3z - 4w = 16-----------------------------(5)
Subtract equation (1) from (3)
Use the formula y=mx+b in order to solve for b. Then, plug in known values.
Answer: y= -4x-13, which is G on your worksheet.
