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:
$1015.67
Step-by-step explanation:
The appropriate formula for the payment amount (A) for principal P and interest rate r over time period t years is ...
A = P·(r/12)/(1 -(1 +r/12)^(-12t))
Filling in the given numbers, you get ...
A = 176,900·(.0482/12)/(1 -(1 +0.0482/12)^-300) ≈ 1015.67
Violet's monthly payment for principal and interest is $1015.67.
Answer:
Answer is D 5x-y>= 1 :)
Step-by-step explanation:
99 would be to more than 89 because 89+10= 99<span />
Answer:
slope = 5/6
Step-by-step explanation:
Since you were given two points, you can use the point-slope formula to find the slope. The general equation looks like this:
y₁ - y₂ = m(x₁ - x₂)
In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.
Point 1: (-1, 8)
Point 2: (-7, 3)
y₁ - y₂ = m(x₁ - x₂) <----- Original formula
8 - y₂ = m(-1 - x₂) <----- Plug in "x" and "y" values from Point 1
8 - 3 = m(-1 - (-7)) <----- Plug in "x" and "y" values from Point 2
5 = m(-1 - (-7)) <----- Simplify left side
5 = m(6) <----- Simplify inside parentheses
5/6 = m <----- Divide both sides by 6
