Yes they are equivalent expressions. If you take the z to the power of two, and subtract that from the other z to the power of two, it is zero. So you are left with four which is the answer
Answer:
n = -6
x = -7
n = 27
Step-by-step explanation:
Question 1
-3n - n + 12 = 36
First we get all the variables to one side using subtraction property of equality.
-3n - n + 12 (-12) = 36 (-12)
-4n = 24
divide by the coefficient of n to isolate the variable
-4n/-4 = 24/-4
n = -6
Question 2
-2x - 3x - 15 = 20
-5x - 15 = 20
-5x = 35
x = -7
Question 3
3 + n/9 = 6
Isolate the n variable
n/9 = 6 - 3
multiply by 9
n = 27
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
Answer:
f•g(x) = f(x)•g(x)
f•g(x) = (2x-1) (x²-2x+1)
= 2x³-4x²+2x-x²+2x-1
= 2x³-5x²+4x-1
