Assume (a,b) has a minimum element m.
m is in the interval so a < m < b.
a < m
Adding a to both sides,
2a < a + m
Adding m to both sides of the first inequality,
a + m < 2m
So
2a < a+m < 2m
a < (a+m)/2 < m < b
Since the average (a+m)/2 is in the range (a,b) and less than m, that contradicts our assumption that m is the minimum. So we conclude there is no minimum since given any purported minimum we can always compute something smaller in the range.
Answer:
1 + 9 x 12 = 120
2 + 9 x 12 = 132
3 + 9 x 12 = 144
4 + 9 x 12 = 156
5 + 9 x 12 = 168
Step-by-step explanation:
Any of the ones on top, but there are tons of others too
Answer:
s=8
Step-by-step explanation:
The equivalent expression of 
is 
<h3>How to determine the equivalent expression?</h3>
The logarithmic expression is given as:
The law of logarithm states that:
log(a) - log(b) = log(a/b)
This means that the expression can be split as:
Hence, the equivalent expression of is
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Answer: y = 2000x + 89000
Step-by-step explanation:
Given that;
initial purchase amount = $89,000
price after 6 years = $ 101,000
years = 6
now
slope = ( 101000 - 89000) / 6
slope = 12000 / 6
slope = 2000
therefore the linear equation that models the value of the house after x years will be;
y = 2000x + 89000
