Answer:
f(x)=3(x-4)(x+3)
Step-by-step explanation:
Quadratic function follows the f(x) = ax^2 +bx+c pattern
f(x)=3(x-4)(x+3) after multiplying out is equal to
f(x)=(3x-12)(x+3) = (3x^2+9x-12x-36) = (3x^2-3x-36)
f(x) = (3x^2-3x-36)
where
a = 3
b = -3
c = -36
The cross of the position vectors is
.. [5, 2, 2] × [6, -1, 1] = [4, 7, -17] . . . . . the normal vector of the desired plane
Since the origin is a point in the plane, its equation can be written as
.. 4x +7y -17z = 0
We are told that Tristan is planting a garden that's square shaped and its area is 64 square meters. Because 8 * 8 = 64, we have a square where each side is 8 meters along.
From an algebra point of view, where s is a side of the square,
s² = 64
s = 8 or s = -8 by taking square roots of both sides
s = 8 by discarding the -8 (lengths cannot be negative)
Now that we know a square's side we need its perimeter. Each side is the same, so a square's perimeter is four times a side.
4 * 8 = 32, which is our perimeter.
Therefore 32m² of material are needed.
The answer to your question is c.