<span>(2x + 5)(2x + 5) = 300</span>
Answer:
The consecutive numbers are 62 and 63
Step-by-step explanation:
Let the larger number be represented by x and the smaller number by y,
Provided they are consecutive numbers;
--- Equation 1
From the question; we have that
--- Equation 2
Required
Find x and y
Multiply both sides of equation 2 by 14
![14 * \frac{4x}{7} = 14 * \frac{y}{2} + 14 * 5](https://tex.z-dn.net/?f=14%20%2A%20%5Cfrac%7B4x%7D%7B7%7D%20%3D%2014%20%2A%20%5Cfrac%7By%7D%7B2%7D%20%2B%2014%20%2A%205)
![2 * 4x = 7 * y + 70](https://tex.z-dn.net/?f=2%20%2A%204x%20%3D%207%20%2A%20y%20%2B%2070)
---- Equation 3
Substitute y + 1 for x in equation 2
![8(y + 1) = 7y + 70](https://tex.z-dn.net/?f=8%28y%20%2B%201%29%20%3D%207y%20%2B%2070)
Open bracket
![8y + 8 = 7y + 70](https://tex.z-dn.net/?f=8y%20%2B%208%20%3D%207y%20%2B%2070)
Collect like terms
![8y - 7y = 70 - 8](https://tex.z-dn.net/?f=8y%20-%207y%20%3D%2070%20-%208)
![y = 62](https://tex.z-dn.net/?f=y%20%3D%2062)
![x = y + 1](https://tex.z-dn.net/?f=x%20%3D%20y%20%2B%201)
So,
![x = 62 + 1](https://tex.z-dn.net/?f=x%20%3D%2062%20%2B%201)
![x = 63](https://tex.z-dn.net/?f=x%20%3D%2063)
Hence, the consecutive numbers are 62 and 63
Answer:
2.73 for each sock i believe
Step-by-step explanation:
One way is that you can just factor it out: (x+2)(x+2)(x+2)
For the first pair, you get
![x^2+4x+4](https://tex.z-dn.net/?f=x%5E2%2B4x%2B4)
.
Then do
![(x^2+4x+4)](https://tex.z-dn.net/?f=%28x%5E2%2B4x%2B4%29)
*
![(x+2)](https://tex.z-dn.net/?f=%28x%2B2%29)
That will be
![x^3+6x^2+12x+8](https://tex.z-dn.net/?f=x%5E3%2B6x%5E2%2B12x%2B8)
So the answer is 6