Answer:
4.5 sq. units
Step-by-step explanation:
area = -⅓x³+3/2 x² ] 0 to 3
= -⅓(3)³+ 3/2 (3)² -0
= -9 + 27/2
= -9 + 13.5
= 4.5 sq. units
I think 6 but I’m not sure also how I got this answer is by simplifying 3/2 to 1 and a half so than I did 7 and a half - 1 and a half
Answer:
13 inches
Step-by-step explanation:
To find the greatest number of inches possible in the length of each piece, we need to find the greatest common divisor of 39, 52 and 65.
So, the divisors of 39 are: 1, 3 and 13
The divisors of 52 are: 1, 2, 4, 13 and 26
The divisors of 65 are: 1, 5 and 13
Therefore, the common divisors are 1 and 13. Finally the greatest common divisor is 13. It means that the greatest number of inches possible in the length of each piece is 13 inches.
Set equations for both containers:
Condition one: $y=2x$
Condition two: $(y-3)=4.5(x-2)$
plug in $y$ from condition one into the second equation:
$2x-3=4.5x-9$
simplify gives: $2.5x=6$
$\boxed{x=2.4}$
$\boxed{y=4.8}$
