Erick is a software salesperson. let y represent his total pay (in dollars). let x represent the number of copies of math is fun he sells. suppose that x and y are related by the equation:

y= 1750 + 95x

a) what would his total pay be if he does not sell any copies of math is fun ?

b) what is the change in his total pay for each copy of math is fun that he sells?

c) what will his total cost pay be if he sells 20 copies of math is fun ?

A) $1,750

B) $95

C) $3,650

Step-by-step explanation:

Explanation A)

This question is telling you to replace x with 0. So you would multiply 95 x 0. Anything multiplied by 0 is 0.

y = 1750 + 95(0) = 1750

y = $1750

*Reminder that Y is his total pay.

Explanation B)

This question wants you to look at the numbers beside x. The number 95 is beside x. That is what he is charging for each copy.

Let's say we ignore his $1750.

If Erick sold 15 copies. X would only be multipled to what is beside it.

95 * 15 = 1425

Think of x as just an placeholder.

Explanation C)

In the question, we are told that "x represent the number of copies of math is fun he sells".

So, he sold 20 copies. We will replace x with 20.

y = 1750 + 95(20)

y = 1750 + 1900

y = 3650

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