The piecewise function below models a portion of the tax brackets for a particular State. Let x be the amount of taxable income.
f(x) =
0.15x
Osxs 20,000
2,917.50 +0.20(x - 20,000) 20,000 < x < 50,000
8,917.50 +0.25(x - 50,000) 50,000 < x < 100,000
21,417.50 +0.30(X-100,000)
X > 100,000
Determine the tax for a person with taxable income of $82,450.

Which statement explains how you could use coordinate geometry to prove that quadrilateral abcd is a parallelogram? -5 -4 -3 -2 -1 t 1 2 3 4 prove that all sides are congruent and have slopes that are opposite reciprocals prove that segments ad and ab are congruent and parallel prove that opposite sides are congruent and have equal slopes prove that segments bc and cd are congruent and parallel

The image of the point (-6, -2)under a translation is (−7,0). find the coordinates of the image of the point (7,0) under the same translation.

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)