Answer:
(3, 15 )
Step-by-step explanation:
Given the 2 equations
x + y = 18 → (1)
y = 5x → (2)
Substitute y = 5x into (1)
x + 5x = 18
6x = 18 ( divide both sides by 6 )
x = 3
Substitute x = 3 into (2) for corresponding value of y
y = 5(3) = 15
Solution is (3, 15 )
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:
135 is correct answer of this question
The answers are
1). warmer
2). end behavior
3). higher
When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.
The end behavior of the two functions implies that refrigerator A is set to a
higher temperature than refrigerator B.
I hope this really helps
