Use the graph, the equations, or a table of values to support a logical argument that the linear functions are inverses.
(please help)

Step-by-step explanation:

one line has the slope of -3 (-3/1 meaning that when x increases by 1 unit, y decreases by 3 units).

and this line has the offset of y=-5 for x=0

so, the line equation is

y = -3x - 5

inverse means that we exchange x and y and then solve for y again :

x = -3y - 5

3y = -x - 5

y = -x/3 - 5/3

when we look at the second line, we see its slope is -1/3 (when x increases by 3 units, y decreases by 1 unit).

and while we cannot read the offset on the y-axis precisely, we can use a clearly readable point to prove or disprove the equation above.

for example (-2, -1)

-1 = -(-2/3) - 5/3 = 2/3 - 5/3 = -3/3 = -1

correct.

so, the equation we got for the inverse function fits exactly with the second line in the graph.

therefore, yes, they are both inverse functions to each other.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

46.2+112.3

step-by-step explanation: