Answer:
y=500x+3000
the Y intercept is 3,000
Step-by-step explanation:
In this equation y represents the total gallons of water in the pool the 500 represents the water that goes into the pool in an hour. X represents the number of hours and 3000 represents the water that was already in there.
The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
<h3>What is sin function?</h3>
It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
As we know the sin function is represented by:
y = Asin(Bx) + C
Here,
A = The amplitude = 3
C = The vertical shift = 1
B - The period in terms of π
B = 2π/amplitude
B = 2π/4
B = π/2
The becomes:

Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
Learn more about the sin function here:
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Step-by-step explanation:
The slope of tangent line at a max or a minimum is 0,.
So using point slope formula.


Is the equation of a tangent line. This means we have a horizontal line at y= 4. Horizontal lines have a slope of 0.
All you have to is divide two consecutive terms to calculate the common ratio
1/4 divided by 5/12 = 1/4 * 12/5 = 12/20 = 3/5
<span>Give the Algebraic expression for the difference of 10 and u.
Algebraic expression is the expression that contains the combination of number, variables and operators like addition, division, subtraction and multiplication.
In the given expression we need to convert it into algebraic expression.
=> expression of the difference of 10 and u
=> difference = result of subtraction
=> 10 is the number to be subtracted by u
=> u = is the unknown number to subtract to 10
=> 10 – u
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