<em>It will take 6 minutes to drain the pool.</em>
<h2>
Explanation:</h2>
As the problem states the height of the water in an above ground pool is 3ft. In other word:
- 3 ft is our starting point.
The pool needs to be drained at a Rate of Change of 1/2 inches per minutes. In other words:
- The rate of change is constant, so we'll have a line with slope -1/2.
Therefore, we can write an equation as:

To drain the pool implies that we don't have any water in the pool, in other words this is true if and only if:

So:

So, <em>it will take 6 minutes to drain the pool.</em>
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Answer:
a=7, b=14
Step-by-step explanation:
a. 2/6=x/21
cross multiply=
2×21=x×6
then solve
42=6x
divide both sides by 6
x=42/6=<u>7</u>
b. 150/84=25/x
cross multiply=
84×25=150×x
then solve
2100=150x
divide both sides by 150
x=2100/150=<u>1</u><u>4</u>
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Answer:
As x gets smaller, pointing to negative infinity, the value of f decreses, pointing to negative infinity.
As x gets increases, pointing to positve infinity, the value of f decreses, pointing to negative infinity.
Step-by-step explanation:
To find the end behaviour of a function f(x), we calculate these following limits:

And

In this question:

At negative infinity:

When the variable points to infinity, we only consider the term with the highest exponent. So

So as x gets smaller, pointing to negative infinity, the value of f decreses, pointing to negative infinity.
Positive infinity:

So as x gets increases, pointing to positve infinity, the value of f decreses, pointing to negative infinity.
Answer: 1/3^4 or 1 over 3 fourths beacuse you need to just flip it to get the exponent to be positive. 3^-4 is basically 3^-4 over 1.
Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
5x + 7 = 2x + 1
subtract both sides by 2x
3x + 7 = 1
subtract both side by 7
3x = -6
divide both sides by 3
x = -2