Answer:
Linear function:
x- Independent variable
y- Dependent variable
Step-by-step explanation:
We are given that
Climbers start climbing at an elevation of height =5000 ft
The steady rate at which climbers start climbing=1500 ft/h
We have to find the independent variable and dependent variable.
Let time taken by climbers=x hours
In 1 hour, climbers cover distance =1500 ft
In x hours , climber cover distance=1500x ft
According to question
The total distance y covered by climber in x hours
This is required linear function.
We can see that
x does not depend on any other quantity.Therefore, x is independent variable .
When the value of x changes then the value of y is also change.
It means the value of y depends on the value of x.
Therefore, y is dependent variable.
<span>\[(2\sqrt{5}+3\sqrt{7})(2\sqrt{5}+3\sqrt{7})\]</span>
Answer:
<em>Pool 1 leaks faster than pool 2.</em>
Step-by-step explanation:
<u>Rates of change</u>
The rate of change (ROC) is a measure that compares two quantities, usually to know how fast one variable changes in time.
We are given two rates of change for two pools that are leaking. The first one loses 2/3 gallon in 15 minutes, and the other loses 3/4 gallon in 20 minutes.
To compare them, we are required to express time in hours. Recall one hour has 60 minutes, or equivalently, one minute has 1/60 hours. Converting both times, we have:
15 minutes = 15/60 = 1/4 hours
20 minutes = 20/60 = 1/3 hours
Now compute both rates of change:
Pool 1:
Pool 2:
Comparing both ratios, it's clear pool 1 leaks faster than pool 2.
Answer:
The answer you are looking for is x = 3/10
Step-by-step explanation:
D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
72/x = 3.6/0.015 // - 3.6/0.015
72/x-(3.6/0.015) = 0
72/x-240 = 0
72*x^-1 = 240 // : 72
x^-1 = 10/3
-1 < 0
1/(x^1) = 10/3 // * x^1
1 = 10/3*x^1 // : 10/3
3/10 = x^1
x = 3/10
x = 3/10
