The graph that represents the given line with slope and y-intercept is as attached below.
<h3>How to interpret Linear Graphs?</h3>
We are given the equation;
x - y - 3 = 0
Now, the standard way we should put the equation would be in slope intercept form which is; y = mx + c
where;
m is slope
c is y-intercept
Thus, our equation can be rearranged to get;
y = x - 3
Thus, y-intercept is c = -3
The graph that represents the given line is as attached below.
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Answer:
140
Step-by-step explanation:
To construct a subset of S with said property, we have two choices, include 3 in the subset or include four in the subset. These events are mutually exclusive because 3 and 4 can not both be elements of the subset.
First, let's count the number of subsets that contain the element 3.
Any of such subsets has five elements, but since 3 is already an element, we only have to select four elements to complete it. The four elements must be different from 3 and 4 (3 cannot be selected twice and the condition does not allow to select 4), so there are eight elements to select from. The number of ways of doing this is 
.
Now, let's count the number of subsets that contain the element 4.
4 is already an element thus we have to select other four elements . The four elements must be different from 3 and 4 (4 cannot be selected twice and the condition does not allow to select 3), so there are eight elements to select from, so this can be done in ways.
We conclude that there are 70+70=140 required subsets of S.
An adult with a weight of 75 kilograms have an <em>equivalent</em> weight of 165.60 pounds.
<h3>How to convert kilograms to pounds</h3>
Herein we have an application of <em>unit</em> conversions between <em>weight</em> units, from kilograms to pounds. Unit conversions follow this <em>direct proportional</em> formula:
y = k · x
Where:
x - Weight in kilograms
y - Weight in pounds
k - Conversion ratio
If we know that x = 75 kg and k = 2.208 lb/kg, then the weight of the adult in pounds is:
y = (2.208 lb/kg) · (75 kg)
y = 165.6 lb
An adult with a weight of 75 kilograms have an <em>equivalent</em> weight of 165.60 pounds.
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Answer:
0.3121
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