Slope formula:
m = y2 - y1 / x2 - x1
Line QR: (2,8) (3,10)
m = 10 - 8 / 3 - 2 = 2 / 1 = 2
Line ST: (0,6) (-2,2)
m = 2 - 6 / -2 - 0 = -4/-2 = 2
<span>c. parallel because the slopes are the same</span>
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
<h3>
Answer: 2.4 pounds per dollar</h3>
Explanation:
We can set up the ratio
12 pounds : 5 dollars
Then divide both parts of that ratio by 5 so that the "5 dollars" becomes "1 dollar"
The ratio 12 pounds : 5 dollars is equivalent to 2.4 pounds : 1 dollar
Answer:
large
Step-by-step explanation:
3.95 divided by 12 = 0.33
4.25 divided by 16 = 0.27
4.55 divided by 20 = 0.2275
the 20oz is the least unit price
