Mr. sloan said that his car was worth $30,000 when he first purchased it however over the last three years it has decreased in value $5400 what integer represents the average decrease in value per year?

The integer that represents the average decrease in value per year will be 1800.

Step-by-step explanation:

Suppose, the average decrease in value per year is   dollar.

So, the amount of decrease in three years will be:   dollar.

Given that, the value of the car is decreased $5400 over the last three years. So, the equation will be......

Thus, the integer that represents the average decrease in value per year will be 1800.

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