The answer is C.
5c+2w= 12
(5 x 2 )+(2 x1)=12
10 + 2 = 12
7c + 4w=15
(7x1) + ( 4x2) = 15
7 + 8 = 15
Hope this helps. :)
We want to find all such that
We have
so that either
or
These solutions are linearly independent; we confirm this by computing the Wronskian:
We can also confirm that these solutions are correct by substituting the solutions for in the differential equation:
Answer:
Step-by-step explanation:
Solve Using the Quadratic Formula
4x^2 + 8x − 5 = 0
Use the quadratic formula to find the solutions.
−b ± √b^2 − 4 (ac)
-------------------------
2a
Substitute the values a = 4, b = 8, and c = −5 into the quadratic formula and solve for x.
−8 ± √82 − 4 ⋅ (4 ⋅ −5)
-------------------------
2 ⋅ 4
Simplify the numerator.
Raise 8 to the p ower of 2.
−8 ± √64 − 4 ⋅ 4 ⋅ −5
x= ---------------------------
2 ⋅ 4
Multiply −4 by 4.
−8 ± √64 − 16 ⋅ −5
x = -------------------------
2 ⋅ 4
Multiply −16 by −5.
−8 ± √64 + 80
x = -------------------
2 ⋅ 4
Add 64 and 80.
−8 ± √144
x = --------------
2 ⋅ 4
Rewrite 144 as 12^2.
−8 ± √122
x = ------------
2 ⋅ 4
Pull terms out from under the radical, assuming positive real numbers.
multiply 2 by 4
−8 ± 12
x= ------------
8
simplify
−2 ± 3
x= ---------
2
The final answer is the combination of both solutions.
x= 1/2, -5/2
Hope this helped!
Here is your answer........
D. Shift 2 units to the right
We know it won’t be up or down because the 2 would have to be on the outside. It must be to the right because it will go the opposite of the sign in the parentheses (in this case -2). So instead of going left you’d go right!