The graph represents the water level of a tank after an inlet pipe is turned on. y
1
Water Level of a Tank
10
8
6
Water Level (in inches)
X
0
10
2 4 6 8
Time (in minutes)
Two students explain the meaning of points (0,0) and (1,2).
• Kelvin says point (0,0) means the tank is empty when the inlet pipe is turned on.
• Paige says point (1, 2) means the water level of the tank goes up by 2 inches every minute.
Who is correct?
o both Kelvin and Paige
O neither Kelvin nor Paige
O only Kelvin

step-by-step explanation:

(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

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base