The slope-intercept form: y = mx + b
m - slope
b - y-intercept
y = 5x + 2 and y = 5x – 8
m = 5 m = 5
b = 2 b = -8
When comparing equations:
1. Put in <u>slope-intercept</u> form.
2. Compare the <u>slopes and the y-intercepts</u>!
This system has <u>no solution.</u>
Because we have the same slopes and different y-intercepts.
If the slopes are the same and the y-intercepts are the same, then that system has infinitely many solutions.
If the slopes are different, then that system has one solution.
If you're comparing 1.435 * 10^(-3) mm to 1.435 * 10^3 mm, then the more reasonable measurement is 1.435 * 10^3 mm since,
1.435 * 10^3 mm = 1435 mm = 1.435 meters
1 meter is about 3.28 feet approximately
So 1.435 meters is slightly larger (about 4.708 feet) which is a fairly reasonable distance between the tracks on a railroad.
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Something like 1.435 * 10^(-3) mm is equal to 0.001435 mm, which is far less than 1 mm.
Answer:
The expression is equal to 
Step-by-step explanation:
Let
x ----> the number of hours that the roller blades are rented
y ----> the cost of renting roller blades in dollars
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
In this problem we have
The slope is equal to

The y-intercept is equal to
----> value of y when the value of x is equal to zero
substitute

For x=h hours
substitute

Answer:
180 = 40 + 10x
Step-by-step explanation:
The first thing you should do when dealing with implicit derivatives is to respect the rules of derivation of both the logarithm and the exponential
Then, you must regroup the terms correctly until you get dy / dx
The answer for this case is D
I attach the solution