Ashraf attends a local festival, which has an entrance fee. each game costs
$2$
2
two
dollars to play. after playing
$2$
2
two
games, ashraf has spent
$7$
7
seven
dollars.

determine the equation, in slope-intercept form, of the line that represents the amount of money spent after playing

2 + 2x = y

Step-by-step explanation:

I think you're saying the entrance fee is $2. This is the constant. If each game costs an additional $2 per game, that would translate into 2x - or 2 * the number of games. This results in the slope-intercept form equation of: 2+2x=y

a) 0.25x times 3. (could be wrong on equation.)

b) 2.25 pound of dark chocolate. (can i eat all the chocolate? plz? anyway, again, could be wrong, but i hope im right. all the chocolate together should be 5.25 pounds)

have a good day!

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