Answer:
-1.92 cm³
Step-by-step explanation:
The formula for the volume of a cube in terms of side length is ...
V = s³
Then the first-order approximation of volume for a small change ∆s in side length is ...
V(s +∆s) ≈ V(s) + V'(s)·∆s
and the change in volume is ...
∆V ≈ V(s +∆s) -V(s) = V'(s)·∆s
The derivative V'(s) is ...
V'(s) = 3s²
so the change in volume for s = 8 cm and ∆s = -0.01 cm is ...
∆V ≈ 3s²·∆s = 3(8 cm)²(-0.01 cm) = -1.92 cm³
30 pencils multiplied by 1/6 is equal to 30/6. Reduce 30/6 to lowest term by dividing 30 by 6. The quotient of 30 and 6 is 5. Therefore, Jake used 1/6 or 5 pencils of the 30 pencils in a pack.
Y=1/2x
There is no y-intercept
Its the first one because -3(-2)=6, 1(-2)=-2, 2(-2)=4 are all correct