9) Carla's credit card statement showed that she owed $350. She Thade a payment of $200, then she charged $23 for gasoline She
returned a sweater she had charged earlier for a refund of $35
Then she charged $15 at the bookstore. What is her new balance?
35

the answer is -153

Step-by-step explanation:

350-200(she paid off 200$)=150

150+23(she charged her account 23$)=173

173-35(she paid off 35$)=138

138+15(she charged her account 15$)=135

her new balance is -153$ because that is how much she has left to pay off before she reaches 0 then she can gain credit.

the answer

b. they are parallel and will never intersect.

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