For the answer to the question above,
1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4
2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57
3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65
4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.
5. V = (q -2x) (p - 2x) (x)
Answer:
D .points (2,2) (4,4) (0,9)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
5x3=15, that's the area of the larger square. Next, 2x1=2 is the area of the smaller one. (3-2=1 and 7-5=2)
17
Answer:
x+20⩾50
Step-by-step explanation:
in inequality, the word at least means that is equal or more than. so that means that Allie might equal or more than 50 hours in the model but if you're to solve it, Allie will need 30 or more hours. and since she already has 20, add the 20.
