Which is the graph of g(x)=(2/3)^x-2

Graph has been shown in the attachments.

Step-by-step explanation:

We have to graph the function

It represents an exponential function. Let us find the x and y intercepts,

For x-intercept, we plug y = 0

Take log both sides, we get

For y-intercept, we plug x=0

Therefore, the graph must passes through the points (0,-2) and (-1.71,0)

The horizontal asymptote of the graph is given by

Hence, using these information, we can easily graph the function.

step-by-step explanation:

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