A popular fruit juice mixture contains 2 cups of grape juice for every 3 cups of apple juice. Three students made fruit juice mi
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The equation of a line that is passing through the points (0, 4) and (1, 6) will be y = 2x + 4.
<h3>What is the linear system?</h3>A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A coordinate plane. The x-axis and y-axis are each scaled by one.
A graph of a line goes through the points (0, 4) and (1, 6) will be
The equation of a line that is passing through the points (0, 4) and (1, 6) will be
y - 4 = [6 - 4 / 1 - 0] (x - 0)
y - 4 = 2x
y = 2x + 4
The graph is given below.
More about the linear system link is given below.
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<u>Answer:</u>
29 years
<u>Step-by-step explanation:</u>
- Given the function
, where x stands for the number of years since the material was put into the vault, we can plug 140 into x to find the amount leftover.
- Another way of doing this is to change the function to
which are equivalent functions, and then plug 140 into x. This function is helpful if you also needed to find the rate.
- I'll use the 1st function because the question doesn't ask for the rate
From here I'll just use a calculator & get 28.7, or 29 years.
Answer:
Equation of the line is:
y = 1.2x + 3.2
Explanation:
The general form of the linear equation is:
y = mx + c
where:
m is the slope
c is the y-intercept
1- getting the slope:
The slope of the line can be calculated using the following formula:
m =
We are given the points:
(-6,-4) representing (x1,y1)
(4,8) representing (x2,y2)
Substitute with the given points in the above equation to get the slope as follows:
m =
The equation of the line now is:
y = 1.2x + c
2- getting the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will use the point (4,8) as follows:
y = 1.2 x + c
8 = 1.2(4) + c
c = 16/5 = 3.2
Therefore, the equation of the line is:
y = 1.2x + 3.2
Hope this helps :)
Equation of the line is:
y = 1.2x + 3.2
Explanation:
The general form of the linear equation is:
y = mx + c
where:
m is the slope
c is the y-intercept
1- getting the slope:
The slope of the line can be calculated using the following formula:
m =
We are given the points:
(-6,-4) representing (x1,y1)
(4,8) representing (x2,y2)
Substitute with the given points in the above equation to get the slope as follows:
m =
The equation of the line now is:
y = 1.2x + c
2- getting the y-intercept:
To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will use the point (4,8) as follows:
y = 1.2 x + c
8 = 1.2(4) + c
c = 16/5 = 3.2
Therefore, the equation of the line is:
y = 1.2x + 3.2
Hope this helps :)