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prisoha [69]
1 year ago
5

Water is being drained out of a 50 -gallon water heater tank at a rate of 10gallon(s)/(m)in. The process continues until the tan

k is empty. The function that models this situation is f(x)=50-10x, where f(x) represents the number of gallons of water remaining in the tank after x min. Which statements are true about the domain and range of the function for this situation? Select TWO correct answers
Mathematics
1 answer:
uysha [10]1 year ago
4 0

There are no options shown.

explenation of the range and domain:

The domain is 0 ≤ x ≤ 5

the tank cannot have a negative storage, and the time starts at 0

for x = 0, there is 50 gallon, and on x=5, there is 0 gallon left.

so the range is from 0 to and including 50

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Tamiku [17]

Answer:

years 1–4: 62.4 bass per year

years 5–8: 67.6 bass per year

Step-by-step explanation:

If the population in year n is ...

 p(n) = 3000·1.02^n

then the average rate of change from year 1 to year 4 is ...

 (p(4) -p(1))/(4 -1) = 3000(1.02^4 -1.02^1)/3 = 1020·(1.02^3 -1) ≈ 62.4

The average rate of change for years 1–4 is 62.4 bass per year.

For years 5–8, the rate of change is similarly computed:

 (p(8) -p(5))/(8 -5) = 3000(1.02^8 -1.02^5)/3 = 1000·1.02^5·(1.02^3 -1) ≈ 67.6

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5 0
3 years ago
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Scilla [17]

Answer:

(5, 1) and (-5, -7)

Step-by-step explanation:

Given the simultaneous equations

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(3-2y)^2-y^2 = 24

Expand

9 - 12y + 4y^2 - y^2 = 24

9 - 12y + 3y^2 = 24

3y^2 - 12y + 9-24 = 0

3y^2 -12y -15 = 0

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y^2+5y - y - 5 = 0

y(y+5) - 1 (y+5) = 0

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Substitute the values of y into 2

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3 years ago
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Answer:

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Kayla saved 0.40 = 0.4

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