Answer:
Option 1 - Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation.
Step-by-step explanation:
Given : Process
Step 1: 4x + 2 = 10
Step 2: 4x = 8
To find : Which justification describes the process?
Solution :
From step 1 to step 2, we subtract 2 both sides
Step 1: 4x + 2 = 10
Subtracting 2 both side,
⇒ 4x + 2-2 = 10-2
Step 2: 4x = 8
So, The best justification is 'Using the Subtraction Property of Equality, 2 is subtracted from both sides of the equation'.
Therefore, Option 1 is correct.
130 • .16 = 20.8 or 20 (4/5) or 104/5
Put the answer as 20.8 unless specified otherwise.
.16 is 16%
Answer:
Trapezoid
Step-by-step explanation:
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)