The volume of a cube depends on the lengh of its sides. this can be written in function notation as v(s). what is the best interpretation of v(2)=8?

When the sides of the cube measure , then the volume of the cube is

Step-by-step explanation:

The function notation v(s) means that the value of the function depends on the value of the variable s.

In this case v(s) represents the volume of a cube. The variable s represents the length of the sides of the cube. Note that the value of the volume of the cube v(s), depends on the length of the sides of the cube: s

In this context v(2) is the volume of the cube when the length of its sides s is equal to 2.

Finally we interpret as follows: When the sides of the cube measure , then the volume of the cube is

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.

(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