The graph represents a distribution of data.
what is the mean of the data?
35
40
45
50
55
60
65 x

Mean = 50

Step-by-step explanation:

Step 1: Write the mean formula

Mean = sum of data/ total number of data

Step 2: Calculate the sum of data

35 + 40 + 45 +50 + 55 + 60 + 65 = 350

Step 3: Find the total number of data

Total number of data = 7

Step 4: Calculate the mean

Mean = sum of data/ total number of data

Mean = 350/7

Mean = 50

Therefore, the mean of this data is 50.

!!

(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

yes   because as the functions are graphed they eventually will intersect unless otherwise

step-by-step explanation: