Which graph represents the solution set of the system of inequalities? {y<2x+2 x+y≥−3
1 answer:
y < 2x + 2
y-intercept = 2, m = 2 > 0 therefore the function is increasing (pic. 1 and 2)
x + y ≥ -3 |-x
y ≥ -x - 3
The slope intercept form: y = mx + b
m - slope, b - y-intercept
y-intercept = -3, m = -1 < 0 therefore the function is decreasing (pic. 1 and 2)
y < 2x + 2 shaded below the line (pic. 1)
y ≥ -x - 3 shaded above the line (pic. 1 and 2)
Answer: pic.1
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<u>Answer</u>:
3003 number of 5-member chess teams can be chosen from 15 interested players.
<u>Step-by-step explanation:</u>
Given:
Number of the interested players = 15
To Find:
Number of 5-member chess teams that can be chosen = ?
Solution:
Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula
where
n represents the total number of items,
r represents the number of items being chosen at a time.
Now we have n = 15 and r = 5
Substituting the values,