Use the formula m = y2 - y1 / x2 - x1
-2 - 3 / 7 - 4
-5 / 3
the slope of the line in simplest form is -5/3
Answer:
36 books in 12 weeks
Step-by-step explanation:
All you have to do is multiply 3 books a week by 12 weeks....
1 week 3b 7 weeks 21b
2 weeks 6b 8 weeks 24b
3 weeks 9b 9 weeks 27b
4 weeks 12b 10 weeks 30b
5 weeks 15b 11 weeks 33b
6 weeks 18b 12 weeks 36b
Answer:
Step-by-step explanation:
o.67891
You can make a start by putting together an expression for the sum of the even integers between 1 and k inclusive.
Let S be the sum of the even integers between 1 and k inclusive.
Then:
<span><span>S=2+4+6+⋯+(k−2)+k</span></span>
As k is even, you can say r = 2k and so:
<span><span>S=2(1+2+3+⋯+(r−1)+r)</span></span>
<span>Now the sum of the first </span><span>r</span><span> numbers is well-known, it's the </span><span>r</span>th triangle number and we have:
<span><span>1+2+3+⋯+(r−1)+r=<span><span>r(r+1)/</span>2</span></span></span>
<span>Now we can keep it simple and say </span><span><span>2k=4r </span></span><span>and so:</span>
<span><span>S=2(1+2+3+⋯+(r−1)+r)=4r=2<span><span>r(r+1)</span>2</span>=r(r+1)</span></span>
<span>So you can build a quadratic in </span><span>r</span><span> and so get </span><span>k.</span>
A <u>counterexample</u> is something that proves a statement, or equation, wrong. A counterexample is used in math when someone creates a theorem, writes an equation, or creates a new rule and someone proves it to be false.
<u>For Example:</u>
Let's say that I said <em>an even number plus an odd number always equals an even number</em>. A counterexample of that would be 4 + 5 = 9, because 9 is odd, therefore proving the statement wrong.
