The function of the linear equation shows that the slope(m) = -7, the x-intercepts is (-1/7,0), and the y-intercepts is (0,-1)
<h3>What is the function of f(x) of a linear equation?</h3>
The function of a linear equation takes the form y = ax + b. In this situation, the values of y can be determined when x = 0, and the values of x can be determined when y = 0
From the given information:
y = f(x) = -7x - 1
We can determine the:
- Slope (m)
- x-intercepts, and
- y-intercepts.
y = -7x - 1
Slope (m) = -7
Set the values of y = 0 to determine the x-intercepts.
0 = -7x - 1
7x = - 1
x = -1/7
x-intercepts = (-1/7, 0)
Set the values of x = 0 to find the y-intercepts.
y = -7(0) - 1
y = - 1
y-intercepts = (-1, 0)
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Answer:
Theoretical probability
Step-by-step explanation:
The theoretical probability is defined as:

In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:
number of desired results = 1
The amount of paper in the bag is equal to 7, so:
number of possible results = 7
Thus:

This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.
To calculate the experimental probability we must perform the following experiment:
Take a paper out of the bag, record the number obtained and then return the paper to the bag.
Now repeat this experiment n times. (Perform n trials)
So:

To calculate a theoretical probability you always need to perform an experiment with n trials.
<h3><em><u>given</u></em><em><u>:</u></em></h3>
<em><u>length</u></em><em><u>=</u></em><em><u> </u></em><em><u>15cm</u></em>
<em><u>width</u></em><em><u>=</u></em><em><u> </u></em><em><u>7cm</u></em>
<h3><em><u>to</u></em><em><u> </u></em><em><u>find</u></em><em><u>:</u></em></h3>
<em><u>area</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>rectangle</u></em><em><u>.</u></em>
<h3><em><u>solution</u></em><em><u>:</u></em></h3>
<em><u>area</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>rectangle</u></em><em><u>=</u></em><em><u> </u></em><em><u>length</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>width</u></em><em><u> </u></em>
<em><u>a</u></em><em><u>=</u></em><em><u> </u></em><em><u>l</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>w</u></em>
<em><u>a</u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>5</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>7</u></em>
<em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em><em><u>5</u></em><em><u> </u></em><em><u>cm</u></em><em><u>^</u></em><em><u>2</u></em>
6x-12=4x+10
2x-12=10
2x=22
x=11