Forma The first numbers The common factores are 1 and 2 and forma the ladt numbers is 1,2,3, and 6 !!¡!
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)
X=- 4/5
X=-0.8
That’s the answer to your problem to your question
For problem 2:
The answer would be B) Car A travels more miles per gallon of fuel than Car B.
This is because Car B is shown on the graph to travel the same number of miles as Car A using 16 gallons of fuel, while Car A uses only 4 gallons. Thus, Car A travels further with less fuel.
For problem 3:
Let's write out the equation and try to solve.
5x + 1 = 3x + 7
First, subtract 3x from both sides.
5x - 3x + 1 = 3x - 3x + 7
2x + 1 = 7
Now, subtract one from both sides.
2x + 1 - 1 = 7 - 1
2x = 6
Finally, divide both sides by 2.
2x/2 = 6/2
x = 3
You should only get B) One solution
Hope that helped!
Answer:what am I doing
Step-by-step explanation: