First we will find the derivative of each function and equate it to zero.
f` ( x ) = 6 x + 12
6 x + 12 = 0
6 x = - 12
x = - 2
f ( - 2 ) 0 12 - 24 + 16 = 4
f ( x ) min = 4
g` ( x ) = 4 cos ( 2 x - π )
4 cos ( 2 x - π ) = 0
cos ( 2 x - π ) = 0
2 x - π = 3π / 2
2 x = 5π /2
x = 5π/4
g ( 5π/4 ) = 2 sin ( 5π/2 - π ) + 4 = 2 ( sin 3π/2 ) + 4 = -2 + 4 = 2
g ( x ) min = 2 ( this is the smallest minimum value )
For this case we propose a system of equations:
x: Let the variable representing the length of the longer piece
y: Let the variable representing the length of the shorter piece
According to the statement data we have:

Substituting the second equation into the first we have:

Thus, the shorter piece is 30 cm.

Thus, the longer piece is 70 cm.
Answer:
The longer piece is 70 centimeters.
Answer:
56
Step-by-step explanation:
4+7+5=16
7/16*128=56
6/5 ÷ 5/9 is the same thing as 6/5 × 9/5 so your answer would be 54/25
Answer: 494991
Step-by-step explanation: