Let v⃗ 1=⎡⎣⎢0−33⎤⎦⎥,v⃗ 2=⎡⎣⎢220⎤⎦⎥,v⃗ 3=⎡⎣⎢20−2⎤⎦⎥ be eigenvectors of the matrix A which correspond to the eigenvalues λ1=−3, λ2=0, and λ3=1, respectively, and let x⃗ =⎡⎣⎢−6−57⎤⎦⎥. Express x⃗ as a linear combination of v⃗ 1, v⃗ 2, and v⃗ 3, and find Ax⃗ .

Given right triangle xyz, which correctly describes the locations of the sides in relation to

How does the graph of g(x)=⌊x⌋−3 differ from the graph of f(x)=⌊x⌋? the graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted right 3 units. the graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted up 3 units. the graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted down 3 units. the graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted left 3 units.

Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = -6. which function could heather be writing? fx) = x2 + 36x + 12 = x2 - 36x - 12 f(x) = -x + 12x + 36 f(x) = -x? - 12x - 36