TOLL ROADS The table shows the cost for traveling on a toll road in Henderson. The graph shows the cost of traveling on a toll road in Clarkson. Compare the linear functions to determine which is a direct variation. Justify your response. a. The ratio of miles traveled to cost for the Henderson Toll Road is a constant ratio and the graph would pass through the origin. It is not a direct variation. The graph for the Clarkson Toll Road costs does not travel through the origin, so it is a direct variation.

b.
The ratio of miles traveled to cost for the Henderson Toll Road varies. It is not a direct variation. The graph for the Clarkson Toll Road costs does not travel through the origin, so it is not a direct variation.

c.
The ratio of miles traveled to cost for the Clarkson Toll Road is a constant ratio and the graph would pass through the origin. It is a direct variation. The graph for the Henderson Toll Road costs does not travel through the origin, so it is not a direct variation.

d.
The ratio of miles traveled to cost for the Henderson Toll Road is a constant ratio and the graph would pass through the origin. It is a direct variation. The graph for the Clarkson Toll Road costs does not travel through the origin, so it is not a direct variation.

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".

the answer is stop cheating on things stoopid

step-by-step explanation:

im eatin up the 44

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.