The correct answer is: [B]: " y = 9 " .
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Answer:
1500
Step-by-step explanation:
We have 15 rows of 25, so 15 x 25 is 375, and we multiply that by 4 since its stacked 4 high. We get 1500.
Use the concept of Lagrange multipliers.
1/4 times 4 is 1 hour so
3 1/6 times 4 is 12 2/3
Answer:
![x^2+15x+36](https://tex.z-dn.net/?f=x%5E2%2B15x%2B36)
Step-by-step explanation:
The complete question is shown in the attachment.
The length of the rectangle is x + 12. The width of the rectangle is x + 3.
Recall that area of a rectangle is ![Length \times Width](https://tex.z-dn.net/?f=Length%20%5Ctimes%20Width)
In terms of x, the area is ![(x+12)(x+3)](https://tex.z-dn.net/?f=%28x%2B12%29%28x%2B3%29)
Recall the distributive property of real numbers: ![(a+b)(c+d)=a(c+d)+b(c+d)](https://tex.z-dn.net/?f=%28a%2Bb%29%28c%2Bd%29%3Da%28c%2Bd%29%2Bb%28c%2Bd%29)
We apply this property to get:
![(x+12)(x+3)=x(x+3)+12(x+3)](https://tex.z-dn.net/?f=%28x%2B12%29%28x%2B3%29%3Dx%28x%2B3%29%2B12%28x%2B3%29)
We expand again to get:
![(x+12)(x+3)=x^2+3x+12x+36](https://tex.z-dn.net/?f=%28x%2B12%29%28x%2B3%29%3Dx%5E2%2B3x%2B12x%2B36)
We now simplify to obtain:
![(x+12)(x+3)=x^2+15x+36](https://tex.z-dn.net/?f=%28x%2B12%29%28x%2B3%29%3Dx%5E2%2B15x%2B36)
The area of the rectangle is ![x^2+15x+36](https://tex.z-dn.net/?f=x%5E2%2B15x%2B36)