Answer:
5x-7
Step-by-step explanation:
5 times x (a number) subtract 7
Answer: super sorry! i have no idea but im sure someone else knows (:
Step-by-step explanation:
sorry
Answer:
509.3 miles
Step-by-step explanation:
divide 8658 by 17 to get 509.294117647
round that number to get your answer 509.3
Answer:
x^70
Step-by-step explanation:
When multiplying exponents, you just add them up.
x^56+14= x^70
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
