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Pavel [41]
3 years ago
6

What value of x makes this statement true? 3.2 = 2x + 12

Mathematics
1 answer:
ch4aika [34]3 years ago
6 0

Answer:

-4.4

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​
Tamiku [17]

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

8 0
3 years ago
What should you do to both sides of the inequality in order to solve x + (-2) &gt; 3?
lilavasa [31]

x+(-2) >3

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x>6

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Step-by-step explanation:

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