Answer:
y = x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 9 ← is in slope- intercept form
with slope m = 1
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation of the parallel line
To find c substitute (6, - 7) into the partial equation
- 7 = 6 + c ⇒ c = - 7 - 6 = - 13
y = x - 13 ← equation of parallel line
The unit rate is 5/1
15/3=5
3/3=1
Answer:
Step-by-step explanation:
Given that,
y' = 17y ( 1-y^7)
Let y=1
Then, y' = 0 for all t
Then show that it is the only stable equilibrium point so that as y→1, t→∞ with any initial value.
So, the graph solution will be
y(0) = 1 and this will be an horizontal line
If, y(0) > 1 then, y' < 0 by inspecting the first equation, so the graph is has decreasing solution.
Likewise, if y(0) < 1 then, y' > 0 and the graph is increasing.
So no matter the initial condition, graph of the solution will be asymptotic to the horizontal line above.
This make the limit be 1.
This shows that x = 1 is a stable equilibrium.
Answer:
2/16
1/8
Step-by-step explanation:
8/1=8
2/16=0.125 which is equal to 1/8
2/14=1/7
1/8=1/8 is 2/16 simplified so they are the same
14/2=7
