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:
0
Step-by-step explanation:
To find the slope of a line, we uses y2-y1/x2-x1:
y2-y1/x2-x1
1-1/7+2
0/9
0
The slope of the line is 0.
<em>If u have any questions about what I did feel free to ask in the comments!</em>
Answer:
The value of x is:

Step-by-step explanation:
we have to use the quadratic formula to solve for x.
The equation is given as:

which could also be written as:

The quadratic formula for the quadratic equation of the type:
is given as:

Here we have:
a=4, b=-5 and c=8.
Hence, by the quadratic formula we have:

Hence, the value of x is:

2(15+N)
replace a number by N
replace the sum of 15 and N by (15+N)
and lastly, replace twice by 2
So your answer is 2(15+N)