Answer: The Millers need 15 gallons of water for 6 minutes.
Lets start by finding how much water is needed for 1 min shower.
<span>
25 gallons of water is used for 10 min shower:
</span>10 mins = 25 gallons <span>
To find 1 min shower, we will divide the 25 gallons of water by 10.
</span><span>
10 mins = 25 gallons </span>← Divide by 10 on both sides<span>
÷ 10 ÷ 10
1 min = 2.5 gallons
Now that we know the Millers need 2.5 gallons for every 1 minute of shower, we can find 6 minutes of shower by multiplying by 6.
1 min = 2.5 gallons</span> ← Multiply 6 on both sides<span>
x6 x6
6 min = 15 gallons
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Answer: The Millers need 15 gallons of water for 6 minutes.
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Answer:the independent variable is x, the number of hours of work.
The dependent variable is y, the total charge for x hours of work.
Step-by-step explanation:
A change in the value of the independent variable causes a corresponding change in the value of in dependent variable. Thus, the dependent variable is is output while the independent variable is the input
For each visit, he charges $25 plus $20 per hour of work. The linear expression that represents the total amount of money that Ethan earns per visit is y = 25 + 20x.
Since the total amount charged, y depends on the number of hours of work, x, it means that the dependent variable is y and the independent variable is x
Answer:
Given functions,


Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))


Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))


Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))




Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)
Answer:
8
Step-by-step explanation:
5 = 40
1 = x
Then we multiply by the rule of crisscrossing
5 x X = 40 x 1
5x = 40 then divide both by 5
X = 8
Answer:
x ≥ - 1
Step-by-step explanation:
the solid circle above - 1 on the number line indicates that x can equal - 1
the arrow points right indicating x is greater than or equal to - 1 , that is
x ≥ - 1