Apply the quotient rule for exponents, if applicable, and write the result using only positive exponents. Assume all variables represent nonzero numbers.

A.
B.
C. -x6
D. x6


Answer: B

Mathematics

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Graph the quadratic function. Determine the vertex, find the equation of the axis of symmetry, find any x- and y-intercepts, and state the domain and range in interval notation.f(x) = -x2 - 4x - 3

A. vertex: (2, 1)
axis of symmetry: x = 2
x-intercepts: 1 and 3; y-intercept: -3
domain: (-?, ?); range: (-?, 1]

B. vertex: (-2, 1)
axis of symmetry: x = -2
x-intercepts: -1 and - 3; y-intercept: -3
domain: (-?, ?); range: (-?, 1]

C. vertex: (2, -1)
axis of symmetry: x = 2
x-intercepts: 1 and 3; y-intercept: 3
domain: (-?, ?); range: [-1, ?)

D. vertex: (-2, -1)
axis of symmetry: x = -2
x-intercepts: -1 and - 3; y-intercept: 3
domain: (-?, ?); range: [-1, ?)

Mathematics

Determine whether the following is always true or not always true. Given reasons for your answers.u × (v + w) = u × v + u × w

What will be an ideal response?

Mathematics

Divide.

A. x2 + 6x - 16 B. x - 3  C. x2 - 3 D. x + 3

Mathematics

Find the domain of the rational expression. 

A. {x|x is a real number and x ? 8} B. {x|x is a real number and x ? 8 and x ? 1} C. {x|x is a real number} D. {x|x is a real number and x ? -8}

Mathematics