A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below:

Mathematics

1 answer:

sasho [114]2 years ago

4 0

To find the volume of this storage bin, you will use the formula for volume of a cylinder and of a cone.

V = Bh (cylinder)
Pi x r^2 x h
Pi x 2^2 x 10

V = 1/3 x pi x r^2 x h
1/3 x pi x 2^2 x 3

All of these choices show correct answers!

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Find the vertex of the graph of f(x) = x2 + 4x - 5.

Fofino [41]

You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
$\frac{df}{dx}=2x+4$
Solve the equation:
$2x+4=0$
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
$(-2)^2+4 \cdot (-2)-5=4-8-5=-9$

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>