Answer:
-1x - 1
Step-by-step explanation:
the factor of x is the slope of the line in the form of y/x.
it simply says how many units y changes for a given change of x.
in our diagram we can see that when x changes one unit to the right (positive), y changes 1 unit down (negative).
so, the slope or factor of x = -1/1 = -1
and when x=0, y=-1.
so, the constant offset in the line equation is -1 too.
so, it is
y = -x - 1
or as explicit factor for x
y = -1×x - 1
Answer:
The antebellum period before the Civil War witnessed rapid population and economic growth and several reform movements aimed at improving lives and fulfilling the principles of the American republic. The United States also experienced contention and deep divisions as slavery and the expansion of territory challenged the political balance of power in the nation. The national debate over slavery and its expansion was at the root of the sectional tensions that, despite the efforts of many, led to the Civil War.
<h3>Plz Click the pic clearly</h3>
Step-by-step explanation:
X=3
The work you should show is in the pic step by step
Answer:
Least to greatest: -5 1/2, -5.2, -5, -5/2, 5.5
Answer:
Euler's method is a numerical method used in calculus to approximate a particular solution of a differential equation. As a numerical method, we have to apply the same procedure many times, until get the desired result.
In first place, we need to know all the values the problem is giving:
- The step size is 0.2; h = 0.2. This step size is a periodical increase of the x-variable, which will allow us to calculate each y-value to each x.
- The problem is asking the solution y(1), which means that we have to find the y-value assigned for x = 1, through the numerical method.
- The initial condition is y(0) = 9. In other words, .
So, if the initial x-value is 0, and the step size is 0.2, the following x-value would be: ; then ; ; and so on.
Now, we have to apply the formula to find each y-value until get the match of , because the problem asks the solution y(1).
According to the Euler's method:
Where , and ; .
Replacing all values we calculate the y-value assigned to :
.
Now, , . We repeat the process with the new values:
Then, we repeat the same process until get the y-value for , which is , round to four decimal places.
Therefore, .