I think it's 72605 because it doesn't contain a duplicate number or the numbers 8 and 9.
Answer:
Step-by-step explanation:
The coefficients of x and y in the first equation will be the 2 x 2 matrix first row and the coefficients of x and y in the second equation will be the second row:
When you take the inverse of that 2 x 2 matrix and multiply it with the right side matrix (-16 -48), you can find the solution for x and y.
Here L = W, but H can be different.
The sum L+H+W must be less than or equal to 192 cm.
We can solve L + H + W = 192 for H: H = 192 - W - L. Remembering that W = L, the formula for H becomes 192 - 2W.
The formula for volume would be V = L*W*H.
This becomes V = W*W*H, or V = W^2*(192-2W)
Multiplying this out: V = w^2*192 - 2W^3
Two ways of determining W:
1) graph V = 192W^2 - 2W^3 and determine the value of W at which V is at a max with the constraint W + L + H is equal to or smaller than 192.
2) Differentiate V with respect to W and set the result equal to zero:
384W - 6W^2 = 0. Solving for W: W(384 - 6W) = 0.
W = 0 is trivial, so just solve 384 - 6W = 0 for W: 6W = 384, and W = 64.
The width is 64 cm, the length is 64 cm also, and the height is (192-2W) cm, or 64 cm.
These dimensions produce the max volume.
Answer: x=
6
7
=1
6
1
≈1.166666667
y=−
9
14
=−1
9
5
≈−1.555555556
Step-by-step explanation:
She saves 480
1 Movie =$5
4. = x
$ 20 per week
4 weeks a month 4*20
=$80 dollars spent a month
12 months a year -12*80=960
______________
1 movie =5 dollars
2=x
X=10 $ spent per week
4 weeks a month =4*10
40*12
480 spent per year
960-480 =480 dollars saved