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25.11.2020 •
Mathematics
A line has the equation 3x-4y=1 choose the equation of a line that is parallel to the given line
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Ответ:
Step-by-step explanation:
The equation of the given line is 3x - 4y = 1
A line parallel to the given line will have slope that is the same as this one.
The equation of a straight line is expressed as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
Now, we write the given line in the slope - intercept form;
3x - 4y = 1
-4y = -3x + 1
Divide through by -4
y =
- 
The slope of this line is
Any line with the slope
will be parallel to the given line.
Ответ:
The population of bacteria can be expressed as a function of number of days.
Population =![\[5*2^{n-1}\]](/tpl/images/0521/3210/86c78.png)
where n is the number of days since the beginning.
Step-by-step explanation:
Number of bacteria on the first day=![\[5 * 2^{0} = 5\]](/tpl/images/0521/3210/76b0b.png)
Number of bacteria on the second day =![\[5 * 2^{1} = 10\]](/tpl/images/0521/3210/c504e.png)
Number of bacteria on the third day =![\[5*2^{2} = 20\]](/tpl/images/0521/3210/1bac1.png)
Number of bacteria on the fourth day =![\[5*2^{3} = 40\]](/tpl/images/0521/3210/c8eb6.png)
As we can see , the number of bacteria on any given day is a function of the number of days n.
This expression can be expressed generally as![\[5*2^{n-1}\]](/tpl/images/0521/3210/86c78.png)
where n is the number of days since the beginning.