Answer:
C
Step-by-step explanation:
We know it's direct variation using the direct variation equation.
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
Where k is the constant.
Since 7 times x is the y values, ![k=7](https://tex.z-dn.net/?f=k%3D7)
Now we can substitute 7 into k of the direct variation equation.
![y=7x](https://tex.z-dn.net/?f=y%3D7x)
Answer:
![x^3+x^2-2x\leq140](https://tex.z-dn.net/?f=x%5E3%2Bx%5E2-2x%5Cleq140)
Step-by-step explanation:
This is an algebra problem, and we are expected to inequality for the volume of the aquarium.
Given that the
length= 2x
width=(x – 1)
heigth= (x + 2)
and the volume= 280 ft^3
the inequality expression for the volume is
![2x*(x -1) * (x + 2) \leq 280\\\\](https://tex.z-dn.net/?f=2x%2A%28x%20-1%29%20%2A%20%28x%20%2B%202%29%20%5Cleq%20280%5C%5C%5C%5C)
open the brackets
![2x*(x -1) * (x + 2) \leq 280\\\\(2x^2-2x)*(x+2)\leq 280\\\\\2x^3+4x^2-2x^2-4x\leq 280\\\\\2x^3+2x^2-4x\leq280](https://tex.z-dn.net/?f=2x%2A%28x%20-1%29%20%2A%20%28x%20%2B%202%29%20%5Cleq%20280%5C%5C%5C%5C%282x%5E2-2x%29%2A%28x%2B2%29%5Cleq%20280%5C%5C%5C%5C%5C2x%5E3%2B4x%5E2-2x%5E2-4x%5Cleq%20280%5C%5C%5C%5C%5C2x%5E3%2B2x%5E2-4x%5Cleq280)
divide through by 2 we have
![x^3+x^2-2x\leq140](https://tex.z-dn.net/?f=x%5E3%2Bx%5E2-2x%5Cleq140)
The answer is 99.2u squared y squared
Answer:
x<2
Step-by-step explanation:
x- 2 <0
x < 2