The function f(x) = 4x + 5,000 represents the amount of money a television is being sold for, where x is the number of televisions being manufactured.
the function g(x) = 20x − 500 represents the cost of production, where x is the number of televisions being manufactured.
what is (f − g)(100)? explain.
a. $6.9k is the profit made from 100 tvs
b. $3.9k is the profit made from 100 tvs
c. $6.9k is the cost of manufacturing 100 tvs
d. $3.9k is the cost of manufacturing 100 tvs

The opción b

Step-by-step explanation:

the profit is defined by

In this case is the profit to sell 100 television and is calculated

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

show us the graphs dude

step-by-step explanation: