x= - 1 is a counter example for the given statement .
Given Statement : for all x , - x ≤ 1 / x .
To Show : a counter example for the given statement
⇒ We have to show for some x , - x is not less than equal to 1 / x .
If we take any positive real no. the statement will hold true , but for any negative real no. the statement is false .
So , any negative no. will be a counter example to this statement .
For instance , x = - 1 is a counter example of the given statement .
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Answer:
The biggest decrease in time from the 1st leg and the 2nd leg is:
1st leg: 55.037 seconds
2nd leg: 40.38 seconds
Step-by-step explanation:
24/8=3/1 jjjsjajsjjsksksiajanbsnxjsjwnsnxnd
B = 
isolate 6B by subtracting C from both sides
A - C = 6B ( divide both sides by 6 )
B =
Answer: k = 200/3
Step-by-step explanation:
If a variable, a varies directly with a variable, c, it means that as a increases, c increases and as a decreases, c decreases.
Also, If a variable, a varies inversely with a variable, b, it means that as a increases, b decreases and as a decreases, c increases.
The variable c varies directly with a and inversely with b. We would introduce a constant of variation, k. Therefore
a = kc/b
If c = 3/20 when a = 2 and b =5, then
2 = (k × 3/20)/5 = 3k/100
Cross multiplying, it becomes
3k = 100 × 2 = 200
k = 200/3
