Answer:
<h2>In the attachment</h2>
Step-by-step explanation:
Convert to the slope-intercept form (<em>y = mx + b</em>):
y - 2 = -(x + 1) <em>use the distributive property</em>
y - 2 = -x - 1 <em>add 2 to both sides</em>
y - 2 + 2 = -x - 1 + 2
y = -x + 1
We only need two points to plot the graph of the linear function.
Select any two x values. Insert them into the equation.
Calculate the value of y.
For x = 1:
y = -1 + 1 = 0 → (1, 0)
For x = 0:
y = -0 + 1 = 1 → (0, 1)
Yes it does represent an exponential function
if you put the table into a graphing calculator it will show as an exponential function
desmos is a free one online
Given differential equation, (D4 - 5D3 + 5D2 + 5D - 6)y = 0
=> For general solution of equation,
Solve D4 - 5D3 + 5D2 + 5D - 6 = 0
=> D4 - 5D3 + 6D2 - D2 + 5D - 6 = 0
=> D2 (D2 - 5D + 6) - (D2 - 5D + 6) = 0
=> (D2 - 5D + 6)(D2 - 1) = 0 ................................(1)
Now
D2 - 1 = (D - 1)(D + 1) and
Factors of D2 - 5D + 6
D2 - 5D + 6 = D2 - 2D - 3D + 6
= D(D - 2) - 3(D - 2)
= (D - 3)(D - 2)
Therefore, equation (1) implies
(D2 - 5D + 6)(D2 - 1) = (D - 3)(D - 2)(D - 1)(D + 1) = 0
=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3
=> General solution of differential equation is,<span>
=><span> y = C1 e-x + C2 ex + C3 e2x + C4 e3x</span> .
Hope it helps
</span>
Answer:
x = -1
Step-by-step explanation:
Given
2x + 2 = 4x + 4 ( subtract 4x from both sides )
- 2x + 2 = 4 ( subtract 2 from both sides )
- 2x = 2 ( divide both sides by - 2 )
x = - 1
10-
15 + 15 = 30
11 + 11 = 22
30 + 22 = 52
52 + 9 = 61
11-
11 + 10 + 16 = 37
