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11Alexandr11 [23.1K]
3 years ago
9

An aquarium is being filled at a rate of 2.5 inches per second. The equation y=2.5x is used to determine the height of the water

after x seconds. Find the domain and range of the situation if it takes 60 seconds to fill the aquarium
Mathematics
1 answer:
goldenfox [79]3 years ago
7 0

Answer:

  • domain: 0 ≤ x ≤ 60
  • range: 0 ≤ y ≤ 150

Step-by-step explanation:

The reasonable domain of the function is the time range over which it is applicable: 0 to 60 seconds. The function will not give appropriate answers after the time that the aquarium is full.

The reasonable range of the function is the set of values corresponding to the reasonable domain: 0 to 2.5×60 = 150 (inches).

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gogolik [260]

Answer:

2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)

Step-by-step explanation:

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Factor x^2-16: (x+4)(x-4)

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Rewritten: 2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)

I hope this helped and have a good rest of your day!

4 0
3 years ago
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2.2

Step-by-step explanation:

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3 years ago
How many solutions does the equation y=x-1 have?
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Answer:

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6 0
3 years ago
DOG has coordinates D(3,2), O( 2,-4), G(-1,-1) .A translation maps point D to D (2,4). Find the coordinates of O and G under the
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7 0
3 years ago
If you add​ Natalie's age and​ Fred's age, the result is 46. If you add​ Fred's age to 4 times​ Natalie's age, the result is 91.
Ivenika [448]

Answer:

Fred = 31

Natalie = 15

Step-by-step explanation:

We have Natalie and Fred's whos age are unknown, we know that when added, their ages equal 46. While when multiplied with Natalie's age 4 times, their ages is 91.

Create two systems :

F = Fred

N = Natalie

F + N = 46

4N + F = 91

We can change the first equation to Natalie's age alone :

N = 46 - F

Now substitute this into the second equation :

4(46 - F) + F = 91

Distribute :

184 - 4F + F = 91

Subtract 184 from both sides :

-4F + F = -93

Add like terms :

-3F = -93

Divide -3 from both sides :

F = 31

Therefore, Fred is 31 years old. Now replace his age in the first equation :

31 + N = 46

46 - 31

15

Therefore, Natalie is 15 years old.

8 0
3 years ago
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