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:
Step-by-step explanation:
Given
-- correct expression
Required
Represent as slope intercept form
Make 2y the subject
Divide through by 2
Answer:
Step-by-step explanation:
we can easily find this by looking at our y intercept
our y intercept here is (0, -1) so the equation who has -1 as a constant is the one were looking for
so C would be oour answer since its the only one with -1 as its constant
hope this helps <3
<h3>
Answer: See attached image below</h3>
Explanation:
The law of sines is
This is the same as writing
Because we apply the reciprocal to each side to keep things balanced
Note how the 'a's stick together on one side, so do the 'b's and 'c's.
For something like 
we can see the 
portion, but now there's an 'a' in there. This is from multiplying both sides of the equation below by 'a'
The summary is that the 'a' pairs with sin(A) and that's what matches with expression number 1.
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For expression number 2, we'll have it pair with sin(B). This is because the 'c's already are taken care of (they are paired up) and there's an extra b all by itself. The working/steps will basically look like what is shown in the section above, though you'll use the equation 
Expression 3 will match with sin(C) for similar reasons as expression 2. The 'c' is the only letter that isn't paired up.
The other expressions will match in similar fashion. The filled out answers are shown in the attached image below.
Answer:
It’s not a question for studying
Step-by-step explanation:
