Find all zeros of ƒ(x) = x2(x – 100)(x – 200). then determine the multiplicity at each zero. state whether the graph will touch or cross the x-axis at the zero.
a. x = 0, multiplicity = 2, touch
x = –100, multiplicity = 1, cross
x = –200, multiplicity = 1, cross

b. x = 0, multiplicity = 2, touch
x = –100, multiplicity = 1, cross
x = 200, multiplicity = 1, cross

c. x = 0, multiplicity = 2, cross
x = 100, multiplicity = 1, touch
x = 200, multiplicity = 1, touch

d. x = 0, multiplicity = 2, touch
x = 100, multiplicity = 1, cross
x = 200, multiplicity = 1, cross

astronomers is your final answer! : )

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204