Answer:
2/11
Step-by-step explanation:
Let's say our fraction is x = 0.1818181818...
The trick is to multiply x by 10²=100 in this case, since there are two repeating digits, and then subtract the original x.
So, in fact you are subtracting 0.181818 from 18.181818 which effectively cancels the entire bit after the decimal point.
You get:
100x - x = 18
Which you can solve:
99x = 18
x = 18/99 = 2/11
For this case we have that the point-slope equation of a line is given by:
Where:
m: It's the slope
It is a point
We have as data that:
We replace:
Answer:
The graph which best represents the new function is a linear function on a coordinate plane as shown in the image below.
<h3>How to determine the graph of the new function?</h3>
First of all, we would determine the slope of the linear function as follows:
Slope, m = ⅔.
Multiplying by -4, the new slope is:
Slope = ⅔ × -4
Slope = -8/3 or 2.7.
For the equation of this line, we have:
y - y₁ = m(x - x₁)
y - 0 = -8/3(x - 3)
y - 0 = -8/3x + 8
y = -8/3x + 8
Decreasing the y-value by 1, we have:
y = -8/3x + 8
y = -8/3x + 8 - 1
y = -8/3x + 7
Therefore, we would have a linear function on a coordinate plane as shown in the image attached below.
Read more on slope here: brainly.com/question/17601248
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