A jewelry maker is designing a crown. The crown must have at least 45 gems, using only emeralds, rubies, and diamonds. The number of rubies must be 1 less than 3 times the
number of emeralds. The number of diamonds must be 4 less than the number of rubies. Which inequality could the jewelry maker use to find the fewest number of emeralds, x,
that can be placed on the crown?
A. x- 4+ 3x - 1 + x 2 45
B. 3x - 1 + 3x - 4 2 45
C. x + 3x - 1 + 3x - 1 - 4 2 45
D. 3x - 1 + 3x - 1 - 4 2 45

it has the same slope and a different y-intercept

hope this : )

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

answe: it will take 4.5 hours for naomi and clair to paint an equal number of square feet

hope i

-lavira : )