315 is the answer but i don't know what they mean by simplify <span />
f(x) = x³ - 2x² - 24x
x³ - 2x² - 24x = 0
x(x² - 2x - 24) = 0
x = 0
x² - 2x - 24 = 0
a = 1, b = -2, c = -24
Delta = (-2)² - 4 * 1 * (-24) = 4 + 96 = 100
x = (-(-2) - 10)/(2 * 1) = -8/2 = -4
x = (-(-2) + 10)/(2 * 1) = 12/2 = 6
Answer: 2)
Data: (Cylinder)
h (height) = 8 cm
r (radius) = 5 cm
Adopting:

V (volume) = ?
Solving:(<span>Cylinder volume)
</span>




<span>Note: Now, let's find the volume of a hemisphere.
</span>
Data: (hemisphere volume)
V (volume) = ?
r (radius) = 5 cm
Adopting:

If: We know that the volume of a sphere is

, but we have a hemisphere, so the formula will be half the volume of the hemisphere

Formula: (<span>Volume of the hemisphere)
</span>

Solving:





<span>Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)
</span>
Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 628 cm³ + 261.6 cm³
First, let’s find the distance Pam jogs in one hour.
15.75/3 = 5.25 mph.
Now, simply divide 28.875 (28 and decimal of 7/8) by our new rate.
28.875/5.25 = 5.5 hours. Choice B