Xz+y+1=z. given
y+1=z-xz. subtraction property of equality
y+1=z(1-x) distributive property of multiplication over addition/factoring
(1+y)/(1-x) = z division property of required, given x≠1
1.23+0.9= 2.13
<span>2.13-1.05= 1.08
Happy studying ^_^</span>
Ok so you do 900 ÷ 10 which = 90 and 90 x 10 = 900 so the answer is 90
Answer:
D
Step-by-step explanation:
Answer:
13058.83 cubic inches
Step-by-step explanation:
Given that a rectangular box is having dimensions as 41x81 inches.
Let x be the side of square cut from all the four corners.
The open box made would have height as x and length 41-2x with width 81-2x
Volume =
![V(x) = x(41-2x)(81-2x)\\V(x) =x(3321-244x+4x^2)\\V(x) = 3321x-244x^2+4x^3\\V'(x) = 3321-488x+12x^2\\V"(x) = -488+24x\\](https://tex.z-dn.net/?f=V%28x%29%20%3D%20x%2841-2x%29%2881-2x%29%5C%5CV%28x%29%20%3Dx%283321-244x%2B4x%5E2%29%5C%5CV%28x%29%20%3D%203321x-244x%5E2%2B4x%5E3%5C%5CV%27%28x%29%20%3D%203321-488x%2B12x%5E2%5C%5CV%22%28x%29%20%3D%20-488%2B24x%5C%5C)
Equate first derivative to 0
We get applicable root as x = 8.642
Max volume = 13058.83 cubic inches