Answer:
384 cm^3
Step-by-step explanation:
Use the formula to find the volume.
Volume = Area of the base x the height
V = Bh
V = 32(12)
V = 384 cm^3
X = 10
y = -2
x/y = 10/-2
x/y = -5
Hence, x/y = z
Y = mx + b
y = -4x -2
trying option 1
-8x + 2y = -4
2y = -4 + 8x
y = -2 + 4x
so its incorrect
Now trying option 2
8x + 2y = -4
2y = -4 - 8x
y = -2 - 4x
y = -4x -2
so Option B is correct
<h3>
Answer: Choice A) as x increases, the rate of change of f(x) exceeds the rate of change of g(x)</h3>
In other words, f(x) grows faster after a certain point. This is true when comparing any exponential curve to a linear one.
Choice B is false as it contradicts choice A.
Choice C is false as the tables show the function outputs are equal at x = 2, not the rates of change
Choice D is false because there are infinitely many intervals where f(x) grows slower compared to g(x). That's why I mentioned the "after a certain point" portion.
