3x^2 - 2x - 1
x + 2 Γ 3x^3 + 4x^2 - 5x - 2
3x^3 + 6x^2
-2x^2 - 5x - 2
-2x^2 - 4x
-x - 2
-x - 2
0
Therefore, solution is 3x^2 - 2x - 1
Loosely, "varies inversely" means that as one quantity increases, the other decreases. Specifically, if x and y vary inversely, then y = k/x where k is some constant (a particular number).
Another way to write that relationship is xy = k. To find the value of k for this problem, you need a numbers for x and y that go together.
Suppose x = number of children and y = number of candies (it doesn't matter what order these go in as long as you keep track!).
"When 12 children are present, 140 pieces of candy are consumed." So when x = 12, the value of y = 140.
xy = k
(12)(140) = k
1680 = k
Now, when x = 8 children,
8y = 1680
y = 210
height:length
1:2
x feet: 5 feet
You know the length and the ratio of the dimensions. From the ratio you know that the length is twice the height. So height = 5/2 = 2.5 ft.
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Answer: B.792
Step-by-step explanation:
