Answer:
The maximum volume of the open box is 24.26 cm³
Step-by-step explanation:
The volume of the box is given as 
, where 
and 
.
Expand the function to obtain:
Differentiate wrt x to obtain:
To find the point where the maximum value occurs, we solve
Discard x=3.54 because it is not within the given domain.
Apply the second derivative test to confirm the maximum critical point.
, 
This means the maximum volume occurs at 
.
Substitute into to get the maximum volume.
The maximum volume of the open box is 24.26 cm³
See attachment for graph.
We have that
x²<span>-6x+7=0
</span>Group terms that contain the same variable
(x²-6x)+7=0
Complete the square Remember to balance the equation
(x²-6x+9-9)+7=0
Rewrite as perfect squares
(x-3)²+7-9=0
(x-3)²-2=0
(x-3)²=2
(x-3)=(+/-)√2
x=(+/-)√2+3
the solutions are
x=√2+3
x=-√2+3
The answer would be 210 because 20/-4 equals -5 and 35+(-5) equals 30. 30×7 equals 210. Hope that helped :D
Answer:
b. 4x = 48
Step-by-step explanation:
If you look closely an multiply 4 x 8, it equals 32, not 48
The other equations:
8 x 8 does equal 64
10 x 8 does equal 80
9 x 8 does equal 72
It's pretty simple once you try each problem first
Hope this helps!
Answer:
Both are correct!
Step-by-step explanation:
if R = 26 - 17 = 9
now the next one
17 + R = 26
Same thing as R = 26 - 17 = 9
