Ms. W has 400 followers on Twitter and is gaining 75 followers each day. Mrs. Hill has 1,000 followers on Twitter but is losing 25 followers a day. How many days will it take them to have the same number of followers?

It takes 6 days.

Step-by-step explanation:

First, you have to form expressions for both of them in terms of x. Let x be the number of days :

Ms. W = 400 + 75x

Mrs. Hill = 1000 - 25x

Next, you have to compare it as we want to find out how many days in takes for them to have the same number of followers :

400 + 75x = 1000 - 25x

75x + 25x = 1000 - 400

100x = 600

x = 6

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

you have to put the graph on here with the question

step-by-step explanation: