Answer:
x greater than or equal to -3
Answer:
<u>The correct answer is A. 14 x + 6 y = 10. Negative 14 x minus 35 y = 77</u>
Step-by-step explanation:
Let's find out the constants to eliminate the x terms
7 x + 3 y = 5
2 x + 5 y = negative 11
Let's multiply the first equation by 2 and the second one by -7, this way:
2 * (7 x + 3 y = 5)
-7 * (2 x + 5 y = negative 11)
14x + 6y = 10
-14x - 35y = 77
<u>The correct answer is A. 14 x + 6 y = 10. Negative 14 x minus 35 y = 77</u>
The area of rectangle:
11 ft · 6 ft = 66 ft²
The area of triangle:
6 ft · 4 ft/2 = 6 ft · 2 ft = 12 ft²
The area of the shaded region:
66 ft² - 12 ft² = 54 ft²
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.
