The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, being sold by the company: graph of quadratic function f of x having x intercepts at ordered pairs negative 0, 0 and 10, 0. the vertex is at 5, 160 part a: what are the x-intercepts and what do they represent in the context of the problem. what is the maximum value of the graph and what does it represent in the context of the problem? (6 points) part b: what is an approximate average rate of change of the graph from x = 5 to x = 8, and what does this rate represent? (4 points) (10 points)

rounding to the nearest thousandth would be 452,000

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

1. minimum

2. 6400

3. eight

hope this !

21

jk it's 20

step-by-step explanation: