Arnoldo needs to write the system in slope intercept form which shows how he could do that?

a community theater currently sells 200 season ticket at $50 each.

in order to increase its season ticket revenue without increasing the number of season tickets that it sells, the theater surveys its season ticket holders to see if they would be willing to pay more.

the survey finds that for every $5 increase in the price of a ticket the theater would lose 10 season ticket holders.

what function if any, should the theater take to increase revenue?

:

Let x = the number of $5 increases and the number of 10 ticket decreases

Write an equation to find the revenue for this situation

R(x) = (200 - 10x)*(50 + 5x)

FOIL

R(x) = 10000 + 1000x - 500x - 50x^2

R(x) = -50x^2 + 500x + 10000 is the function

:

Max revenue occurs at the axis of symmetry, use x = -b/(2a) to find that

x = %28-500%29%2F%282%2A-50%29

x = +5 ea $5 increases so $75 will give max revenue (you lose 50 ticket holders)

:

Actual Revenue then: 75 * 150 = $11,250 vs 50 * 200 = $10000 originally

Step-by-step explanation:

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

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