Hello,
We have : (a + b)² = a² + 2ab + b²
4x² + 20x + 25 = (2x)² + 2 × 2x × 5 + 5² = (2x + 5)² → answer B
Here, we have a = 2x and b = 5 !
Answer:
Concept: Percentage Change
- Original Price: 107
- At a discount of: 62
- Hence 107-62= 45
- Hence B
Option C
<u>SOLUTION:</u>
We need to find the value of B - CF
First find the value CF:
![CF=\left[\begin{array}{ccc}12&0&1.5\\1&-6&7\\\end{array}\right] \left[\begin{array}{ccc}-2&0\\0&8\\2&1\end{array}\right]](https://tex.z-dn.net/?f=CF%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D12%260%261.5%5C%5C1%26-6%267%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%260%5C%5C0%268%5C%5C2%261%5Cend%7Barray%7D%5Cright%5D)
![CF=\left[\begin{array}{ccc}12(-2)+0 *0+1.5*2&12*0+0.8+1.5*1\\1*(-2)+(-6)*0+7.2&1*0+(-6)*8+7.1\\\end{array}\right]](https://tex.z-dn.net/?f=CF%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D12%28-2%29%2B0%20%2A0%2B1.5%2A2%2612%2A0%2B0.8%2B1.5%2A1%5C%5C1%2A%28-2%29%2B%28-6%29%2A0%2B7.2%261%2A0%2B%28-6%29%2A8%2B7.1%5C%5C%5Cend%7Barray%7D%5Cright%5D)
![CF=\left[\begin{array}{ccc}-21&1.5\\12&-41\\\end{array}\right]](https://tex.z-dn.net/?f=CF%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-21%261.5%5C%5C12%26-41%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Now find value of B - CF:
![B-CF=\left[\begin{array}{ccc}2&8\\6&3\\\end{array}\right] -\left[\begin{array}{ccc}-21&1.5\\12&-41\\\end{array}\right]](https://tex.z-dn.net/?f=B-CF%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%268%5C%5C6%263%5C%5C%5Cend%7Barray%7D%5Cright%5D%20-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-21%261.5%5C%5C12%26-41%5C%5C%5Cend%7Barray%7D%5Cright%5D)
![B-CF=\left[\begin{array}{ccc}23&6.5\\-6&44\\\end{array}\right]](https://tex.z-dn.net/?f=B-CF%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D23%266.5%5C%5C-6%2644%5C%5C%5Cend%7Barray%7D%5Cright%5D)
∴ the value of B - CF is ![\left[\begin{array}{ccc}23&6.5\\-6&44\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D23%266.5%5C%5C-6%2644%5C%5C%5Cend%7Barray%7D%5Cright%5D)
<em>I hope this helps....</em>
Lets say that Williams current age is x, since it is currently unknown
From here we know that in 15 years (x+15) he will be 3 times his age 5 years prior (3x-5). Thus we can set these equations up as equal to one another
1) x + 15 = 3(x - 5)
2) x + 15 = 3x-15
3) 30= 2x
4) 15 = x
5) Now this age is his current age of 15 years, but they also want his age 15 years from now
The equation is x + 15 = 3(x - 5)
This should be correct now, sorry for the misconception. Good luck
Answer:
joe mama
Step-by-step explanation:
