Archimedes drained the water in his tub. 62.5, point, 5 liters of water were drained each minute, and the tub was completely dra
ined after 8 minutes.
Graph the relationship between the amount of water left in the tub (in liters) and time (in minutes).
Graph the relationship between the amount of water left in the tub (in liters) and time (in minutes).
1 answer:
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Answer:
Step-by-step explanation:
Each vertical asymptote corresponds to a zero in the denominator. When the function does not change sign from one side of the asymptote to the other, the factor has even degree. The vertical asymptote at x=-4 corresponds to a denominator factor of (x+4). The one at x=2 corresponds to a denominator factor of (x-2)², because the function does not change sign there.
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Each zero corresponds to a numerator factor that is zero at that point. Again, if the sign doesn't change either side of that zero, then the factor has even multiplicity. The zero at x=1 corresponds to a numerator factor of (x-1)².
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Each "hole" in the function corresponds to numerator and denominator factors that are equal and both zero at that point. The hole at x=-3 corresponds to numerator and denominator factors of (x-3).
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Taken altogether, these factors give us the function ...
The nails less than 2 inches long are the ones that are 1/2”, 1”, and 1 1/2”, if I am reading the table correctly.
4 x 1/2” = 2”
2 x 1” = 2”
2 x 1 1/2” = 3”
2 + 2 + 3 = 7 inches
4 x 1/2” = 2”
2 x 1” = 2”
2 x 1 1/2” = 3”
2 + 2 + 3 = 7 inches