Need this answer now. for brainliest a vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour. use the line tool to graph the amount of liquid remaining in the vat at any hour, x.

The required function is and the graph of the function is shown below.

Step-by-step explanation:

It is given that A vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.

It means the initial liquid in tank is 17 gallons and rate of change is 4 gallons per hour.

y-intercept is (0,18).

Slope is -4.

The liquid in tank is defined by the function

At y=0 the tank will empty.

The x-intercept is (4.5,0).

Therefore the required function is and the graph of the function is shown below.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".