Answer:
(5,-3)
Step-by-step explanation:
if this is the rotation that I remember learning, it should be correct. I'm very sorry if it isn't right
Base case: if <em>n</em> = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for <em>n</em> = <em>k</em>, namely that <em>k</em> ² - <em>k</em> is even. This means that <em>k</em> ² - <em>k</em> = 2<em>m</em> for some integer <em>m</em>.
Induction step: show that the assumption implies (<em>k</em> + 1)² - (<em>k</em> + 1) is also even. We have
(<em>k</em> + 1)² - (<em>k</em> + 1) = <em>k</em> ² + 2<em>k</em> + 1 - <em>k</em> - 1
… = (<em>k</em> ² - <em>k</em>) + 2<em>k</em>
… = 2<em>m</em> + 2<em>k</em>
… = 2 (<em>m</em> + <em>k</em>)
which is clearly even. QED
2/8 is the answer because if you do 3-1 it would equal 2 and then you would put 2 over eight. You can even simplify it to 1/4 because 2 and 8 can both be divided by 2.
Answer:
The third graph, the top right graph
Step-by-step explanation:
A function when determined graphically is a graph that passes the straight line test, which means if there is any two points on the graph which you can plot a vertical straight line going through both of them it is not a function. If 1 x value is equal to 2 y values, it is not a function.
Using the following equation is how you translate degrees Fahrenheit to Kelvin:
Kelvin = (Fahrenheit + 459.67) * 5 / 9<span>
or you could use:
</span>
Kelvin = (Fahrenheit - 32) * 5 / 9 + 273.15<span> </span>