Step-by-step explanation:
- <em>-x-4=</em><em>4</em><em>x</em><em>-</em><em>5</em><em>4</em>
Adding x on both sides, we get
- <em>-x-4+</em><em>x=</em><em>4</em><em>x</em><em>-</em><em>5</em><em>4</em><em>+</em><em>x</em>
- <em>-</em><em>4</em><em>=</em><em>5</em><em>x</em><em>-</em><em>5</em><em>4</em>
Adding 54 on both sides, we get
- <em>-</em><em>4</em><em>+</em><em>5</em><em>4</em><em>=</em><em>5</em><em>x</em><em>-</em><em>5</em><em>4</em><em>+</em><em>5</em><em>4</em>
- <em>5</em><em>0</em><em>=</em><em>5</em><em>x</em>
Dividing both sides by 5, we get
- <em>5</em><em>0</em><em>/</em><em>5</em><em>=</em><em>5</em><em>x</em><em>/</em><em>5</em>
- <em>1</em><em>0</em><em>=</em><em>x</em>
<em>Hence,</em><em> </em><em>the </em><em>value</em><em> of</em><em> x</em><em> </em><em>is</em><em> </em><em>1</em><em>0</em><em>.</em>
First off, do a prime factoring of the constant and leading coefficient, namely 9 and 8 respectively.
so a prime factoring of 8 is 2*2*2, and a prime factoring of 9 is 3*3.
so, those are the factors... now, how do we produce products that gives us the middle coefficient +18?
well, let's see hmmmm 2 * 3 * 3 and 2 * 3....so that's 18 + 6, that's 24.. .so... no good is not 18, let's try again.
2*2*3 and 2 * 3, so that's 12 + 6, now, that's +18
so we'll use those, 2*2*3 and 2*3, or 4 * 3 an 2 * 3, (4x + 3)(2x + 3) = 0.
She can make 12 bows because there are 3 feet in one yard so 8*3 is 24. then you divide 24 by 2 and you get 12
So in 5 weeks, Marcie will have collected 25 stickers, and given away 15. She will have 10 stickers left. I hope that this helps! :)
