Find three consecutive integers such that the sum of the first and the third is 40.

19, 20, and 21

Step-by-step explanation:

Well, we can look for two numbers, one which is two larger than the other.

So, it would look like: 40 = x + (x + 2)

Simplify: 2x + 2 = 40

Subtract: 2x = 38

Divide: x = 19

So, the three numbers will be 19, 20, and 21.

(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

answer: on kudzu, being female and being green are independent events.

step-by-step explanation: