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)
Translation 1 unit left and rotation of 90 degrees counterclockwise
Answer:
121.76
Step-by-step explanation:
the original price is 83.97. you would have to find 45% of that. you would do this by putting x/83.97= 45/100
multiply 45 and 83.97 to get 3778.65. then divide that by 100 to get 37.7865. Add that to 83.97 to get 121.7565. round it to the nearest hundreth to get the total of 121.76 dollars
mark as brainlyest and answer my question
Answer:
X = 2
Y = 1
Step-by-step explanation:
x + 4y = 6
3x + 3y = 9
3x + 12y = 18
3x + 3y = 9
9y = 9
x + 4y = 6
y = 1
x + 4 * 1 = 6
y = 1
x + 4 = 6
y = 1
x = 2
so there ia only 1 solution for this equation is (2;1)
Done :))
