Paralell has same slope
y=mx+b
m=slope
y=5x-1
when is the slope 5?
take the derivitive of 2e^x
f'(2e^x)=2f'(e^x)=2e^x
that is the slope
5=2e^x
divide both sides by 2
2.5=e^x
take the ln of both sides
ln2.5=x
when x=ln2.5 they are paralell
Dividing <em>f(x)</em> by 2<em>x</em> + 5 leaves the same remainder as division by <em>x</em> + 5/2. By the remainder theorem, it is equal to <em>f </em>(-5/2), so the remainder here is
<em>f</em> (-5/2) = 8 (-5/2)³ + 4 (-5/2)² - 13 (-5/2) + 3 = -129/2
Since the slope and the y-intercept for the equation of y = mx + b doesn't exist, you don't need to include it.
y = mx + b
Without the m and b, which are the slope and y-intercept, you are left with x.
Then, you need to figure out whether the line is horizontal, or vertical.
If the line is vertical, you keep the x, and find out the value x is on for every point of y.
If the line is horizontal, you keep the y, and find out the value y is on for every point of x.
Since the line is vertical, we can use x = ?
The line is always at x=2, no matter what the y-value is, so the final equation would be x=2.
<em>I hope this helped you! :)</em>
To get the total cost, add the tax rate to 1, then multiply that by the price of the cartridge:
Total: 17.50 x 1.0925 = $19.12
Answer:
1. d = 2t
2. d = 2 (13) d = 26 meters
3. I added the graph in a file
