3x -y =6 solve for x
1 answer:
You might be interested in
Answer:
y = 18.25
Step-by-step explanation:
The 2-point form of the equation of a line can be used to write the equation of the line through the given points.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-2 -7)/(3 -(-1))(x -(-1)) +7
y = -9/4(x +1) +7
For x = -6 this evaluates to ...
y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7
y = 18 1/4
Answer:
Value of the car after x years
Step-by-step explanation:
Exponential functions are generally expressed in the form: and since this function is decreasing, meaning it has an exponential decay, it can be expressed as:
where r=rate of decay.
In this case the a represents the initial value or y-intercept, since when x=0, (1-r)^0 = 1, so we just have y=a(1) or y=a
The r represents the rate of decay
the x usually represents the time in seconds, days, months, or whatever unit is being used
The y value represents the value of whatever your measuring, and in this context it represents the value of the car after x years.
This is because a represents the initial value
After one year it's only 85% worth it's initial value or 15% less which is represented as 0.85(a)
After two years it's only 85% worth the previous year or 15% less the previous year, which is represented as 0.85(0.85(a))
This will continue to decrease the number of years increase