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Afina-wow [57]
3 years ago
9

Find the domain and range of 1/t+2

Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:

Domain = (-∞, -2) ∪ (-2, ∞).

Range =  (-∞, 0) ∪ (0, ∞).

Step-by-step explanation:

t can't have the value -2 because that would make  1/(t + 2) = 1/0 which is undefined.

So the domain is All real values of t. except t = -2.

As t approaches infinity or negative infinity  f(t) approaches  zero, and as t approaches -2 from below or above f(t) approaches negative infinity or positive infinity.

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Jon caught four fish that weighed a total of 252 pounds. The kingfish weighed twice as much as the amberjack and the white marli
Allushta [10]

Answer:

  • amberjack, 21 lbs
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  • tarpon, 105 lbs

Step-by-step explanation:

Let k, a, m, t represent the weights of the kingfish, amberjack, marlin, and tarpon, respectively. The problem statement tells us ...

  • k = 2a
  • m = 2k
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Using substitution, we can rewrite the last equation as ...

... (2a) + (a) + 2(2a) + (5a) = 252

... 12a = 252 . . . . . collect terms

... a = 21 . . . . . . . . .divide by 12

Then k = 2a = 42; m = 2k = 84; t = 5a = 105.

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2 years ago
6. The area of a rectangular sheet of paper is 300 cm squared. The length is 5 cm more than the width
konstantin123 [22]

Answer:

Step-by-step explanation:

width = x

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x^2 + 5x - 300 = 0

Δ = 25 + 1200 = 1225

width = (-5 + 35)/2 = 15 cm

lenght = 15 + 5 = 20 cm

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