Answer:
the top one would be -40x+24, bottom one is x=12
Step-by-step explanation:
uwu
Answer:
?
Step-by-step explanation:
Answer:
24 in³ per sec.
Step-by-step explanation:
Since, the volume of a cube ,
![V = x^3-----(1)](https://tex.z-dn.net/?f=V%20%3D%20x%5E3-----%281%29)
Where,
x = side length,
Differentiating equation (1) w. r. t ( time ),
![\frac{dV}{dt}=3x^2 \frac{dx}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D3x%5E2%20%5Cfrac%7Bdx%7D%7Bdt%7D)
Here,
![x = 4\text{ in},\frac{dx}{dt}= 0.5\text{ in per sec}](https://tex.z-dn.net/?f=x%20%3D%204%5Ctext%7B%20in%7D%2C%5Cfrac%7Bdx%7D%7Bdt%7D%3D%200.5%5Ctext%7B%20in%20per%20sec%7D)
![\implies \frac{dV}{dt}=3(4)^2(0.5) = 24\text{ cube in per sec}](https://tex.z-dn.net/?f=%5Cimplies%20%5Cfrac%7BdV%7D%7Bdt%7D%3D3%284%29%5E2%280.5%29%20%3D%2024%5Ctext%7B%20cube%20in%20per%20sec%7D)
That is, volume of the cube is changing with the rate of 24 in³ per sec.
Answer:
D
Step-by-step explanation:
3x-4y=6
-4y=-3x+6
y=(3/4)x-(3/2)
positive slope with y-intercept at -3/2 corresponds to D