Question

Find the coordinates of the vertices of the figure formed by:
y> 1/4x + 3/4
y> -x + 7
y< 2/3x + 2
Select one:
a. (–3, 0), (3, 4), (5, 2)
b. (–4, 0), (5, 4), (5, 2)
c. (–4, 0), (3, 4), (5, 2)
d. (–3, 0), (5, 4 ), (5, 2)

Answer 1

vertices occur when lines cross

set the equations equal to get intersection points

--> 1/4 x +3/4 = -x + 7
--> 2/3x + 2 = -x + 7
--> 1/4x + 3/4 = 2/3 x + 2

Answer 2

is it b

Answer 3

did you solve each equation for x?
do those points match with option B?

Answer 4

yeaa is it d?

Answer 5

lol ok well since we are playing multiple choice musical chairs I will leave now

use your algebra skills to solve the 3 equations i posted

if you post your work i will verify it for you

Answer 6

lol alritee

Answer 7

Or you can simply just graph everything out of the same graph and shade it then find the intersecting points, graphing them is pretty easy

Answer 8

Thanks nicholas :) and thanks for not getting a nasty attudie!