Select the linear equation that represents the data given in the table. A y = -1x + 8

B y = 3x +5

C y=-3x + 5

D y = 3/2x - 1

we have to try the answers let try the first given values

when x equal to -1 , y equal to 8

ok then in A it's incorrect because when we give x=-1 y=9 and this is wrong

ok what about B it's wrong too because when we give x=-1 y=2

ok now let's check C when we give x=-1 y=8

and this is correct so the answer is C

you would like to ask what about D its wrong too because 3/2 is not natural number and when we give x=-1 y=-5/2

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

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