Simplify the following algebra expression 3/4(1/2x-12)+4/5

(1/40)·(15x + 392]

Step-by-step explanation:

I'm going to assume that you meant [3/4] · ( [1/2]x - 12) + 4/5.

Carrying out the multiplication first, we get:

[3/4] · [1/2]x + [3/4][-12] + 4/5.  This simplifies to:

[3/8]x           + 9           + 4/5

The LCD of this expression is (8)(5) = 40.  Thus, we have:

40{ [3/8]x           + 9           + 4/5 }

                     40

or:

40{ [3/8]x           + 9           + 4/5 }

                     40

which simplifies to:

15x + 360 + 32        15x + 392

=

          40                        40

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.