Answer:
Step-by-step explanation:
This is good! The length of the metal is 20 inches longer than the width. But we fold up 4-inch flaps on each side, so the height of the box is 4 inches, and the length and width will each decrease by 8 inches (4 inches on each side). Since the length and width decrease by the same amount, the length will still be 20 inches longer than the width. So the equations would be:
l = w + 20
vol = l x w x h = 1716 in3
1716 = (w + 20)(w)(4)
1716 = 4w2 + 80w
4w2 + 80w - 1716 = 0
4(w2 + 20w - 429) = 0
4(w + 33)(w - 13) = 0
w + 33 = 0, so w = -33
w - 13 = 0, so w = 13
Since the width can't be negative, the width of the box is 13 and the length is 33 (13 + 20).
But remember, the length and width of the piece of metal are each 8 inches longer than the box, so it was 41 inches by 21 inches.
Answer:
C It is a linear function because there is a constant rate of change in both the input and output.
Step-by-step explanation:
With the values, you can see that the Y value is always 2.5 times the value of X. That's a constant rate of change.
Answers A and B make no sense, because the fact that the input or output values are increasing or decreasing have no impact to determine if a function is linear or not, can be linear or non-linear in all cases.
Answer D gives the definition of a linear function, but applies it to a non-linear function.
Answer:
0.2 is the correct asnwer because you divide 1.8 by 9
Step-by-step explanation:
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