Answer:
13.5
Step-by-step explanation:
The point with the missing coordinate is (?, 12), so the value of y is 12. Plug 12 into the equation in the place of y.
4x - 3(12) = 18
4x - 36 = 18
4x = 54
x = 54/4 = 13.5
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:
b
Step-by-step explanation:
every cantaloup costs $3 so they would pay x × $3
but they got a $2 coupon so you have to deduct that.
She should expect it to land on a even number 84 times
Answer:
Step-by-step explanation:
From the question we are told that:
Radius 
Height 
Rate 
Surface Radius 
Generally the equation for Volume is mathematically given by
Since radius to height ratio gives
Therefore
Generally the equation for Change of Volume is mathematically given by
