Answer:
The equation for the axis of symmetry is x=3
Step-by-step explanation:
Because the vertex is (-2,3) then the axis of symmetry must pass that point.
Y=-X-3
X+Y=4
You'll want to get X or Y by itself, which in this question it already is.
After that, use substitution (Plug -X-3 in place of Y in X+Y=4)
Equation should look like X+(-X-3)=4
Solve that equation
X+(-X-3)=4
X+(-X) cancels eachother out, leaving you with (-3)=4
Add 3 to both sides of (-3)=4, leaving you with 0=7
0 Can't equal 7, so this equation has no solutions
Omg my teachers name is Taylor alsp sorry I don’t know the answer umm anways have a good day I guess Byee
Answer:
0.8989
Step-by-step explanation:
Using the Newton's Raphson approximation formula.
Xn+1 = Xn - f(Xn)/f'(Xn)
Given f(x) = x³-2x+2
f'(x) = 3x²-2
If the initial value X1 = 2
X2 = X1 - f(X1)/f'(X1)
X2 = 2 - f(2)/f'(2)
f(2) = 2³-2(2)+2
f(2) = 8-4+2
f(2) = 6
f'(2) = 3(2)²-2
f'(2) = 10
X2 = 2- 6/10
X2 = 14/10
X2 = 1.4
X3 = X2 - f(X2)/f'(X2)
X3 = 1.4 - f(1.4)/f'(1.4)
f(1.4) = 1.4³-2(1.4)+2
f(1.4) = 2.744-2.8+2
f(1.4) = 1.944
f'(1.4) = 3(1.4)²-2
f'(1.4) = 3.880
X3 = 1.4- 1.944/3.880
X3 = 1.4 - 0.5010
X3 = 0.8989
Hence the value of X3 is 0.8989
