Write an equation in slope-intercept form that goes through the point (5, -3) and is parallel to y = 3x - 1.
1 answer:
Answer:
Step-by-step explanation:
For this case we have this point given (5,-3) and we want to create an slope intercept formula given by:
And this equation needs to be parallel to y= 3x-1 so then the slope needs to be equal m =3 and then we can use the point given to find the intercept b like this:
And the formula for the slope would be given by:
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Answer:
56 hours
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
Let
x -----> the number of hours
y ----> the amount earned in dollars
This problem represent a proportional relationship between the variable x and the variable y
Find the value of the constant of proportionality k
For (3,27) ---->
For (9,81) ---->
For (21,189) ---->
The constant of proportionality k is 9
The linear equation is
For y=$500
substitute in the equation and solve for x
Divide by 9 both sides
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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