Roberto began his collection of trading cards when his grandfather presented him with a set of 18 cards. Each week, he added 5 cards to his collection. His collection grew by the sequence shown below.
18, 23, 28, 33, ..
How many cards did he have at the end of the 10th week?

A. 68
B. 58
C.72
D. 63

68

Step-by-step explanation:

if he got 5 cards each week, and there were 10 weeks, then you do 5*10=50

He started with 18, so you need to ad 18 to 50 (18+50=68)

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

w'x is 0.

hope it