Answer:
x = - 5
Step-by-step explanation:
Given
= 2x ( multiply both sides by 3 to clear the fraction )
2x - 20 = 6x ( subtract 2x from both sides )
- 20 = 4x ( divide both sides by 4 )
- 5 = x , that is x = - 5
Answer:
D) 3
Step-by-step explanation:
-3x+6=2x-9
<em>subtract 6 from both sides</em>
-3x=2x-15<em> </em>
<em>subtract -2x from both sides</em>
<em>-5x = -15</em>
<em>divide both sides by -5</em>
x= 3
Answer:
Step-by-step explanation:
As given in question, we have to find the solution of differential equation
by using the variation in parameter method.
From the above equation, the characteristics equation can be given by
Since, the roots of characteristics equation are real and distinct, so the complementary function of the differential equation can be by
Let's assume that
and g(t)=1
Now, the Wronskian can be given by
Now, the particular solution can be given by
Now, the complete solution of the given differential equation can be given by
Step-by-step explanation:
<u>Step 1: Factor the equation</u>
<u>Step 2: Find the x-intercepts of the graph of f(x)</u>
<u />
<u>Step 3: Describe the end behavior of the graph of f(x)</u>
Since the function is to the power of 2, that means that it is a parabola. And since the leading coefficient is negative, means that the arrows will be pointing down therefore, the end behavior of this graph is as x goes to infinity, f(x) goes to negative infinity and as x goes to negative infinity, f(x) goes to negative infinity.
<u>Step 4: What are the steps you would use to graph f(x)</u>
The first step that I would do is factor the equation. Then I would find the x-intercepts of the graph and plot them on the graph. I would then plug in 0 for all of the x values to get the y intercept. After doing that I would get the vertex using the vertex formula plotting it on the graph. Finally, I would connect all of the dots together to form the graph of the equation.