-4x + 8y = 2
-4x + 4x + 8y = 2 + 4x
8y = 4x + 2
8 8
y = ¹/₂x + ¹/₄
Answer: Transitive Postulate of Inequality (last option)
Explanation:
Let's say we have a vacation where we go from City A, to City B, then to City C. We can use the notation
. If all we cared about was the first and last cities, then we basically say
taking a shortcut so to speak.
This analogy is useful to describe the transitive property.
The equality version is where if we had a = b and b = c, then a = c.
The inequality version is where if we had a < b and b < c, then a < c. In this case, c = 2.
In a sense, its like linking together metal chains. A leads to B which leads to C. So we can just jump from A to C.
It might help to draw out a number line and pick values for a and b like a = 0 and b = 1. That way you can see how a < b, b < c and a < c all tie together.
Answer: 12,620,256
Step-by-step explanation:
Given: The camera shop socks eight different types of batteries and there re at least 31 batteries of each type.
Here we want to select r= 31 batteries from n= 8 kinds of batteries, then formula we use to find number of ways is 

Hence, the number of ways can a total inventory of 31 batteries be distributed among the eight different types = 12,620,256
Answer:
26
Step-by-step explanation:
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For this case, the first thing we must do is calculate the number of attendees who will make purchases.
We have then:
(42000) * (0.65) = 27300
We are now looking for the number of attendees that each vendor will attend.
We have then:
N = (27300) / (10)
N = 2730
Answer:
the average number of customers each will serve is:
N = 2730