Using one coordinate plane, graph the functions y=−4x+1 and y=2x−3, and find the coordinates of the point of intersection. now find the coordinates of the point of intersection without using the graphs. compare your two results.

f(x) = -4x + 1

g(x) = 2x - 3

Set each other equal and solve for x.

-4x + 1 = 2x - 3

-6x = -4

x = 2/3

substitute x into either f or g and solve for y

-4(2/3) + 1

y = -1.667...

Intersect at

(.667,-1.667)

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.