Which expression is equal to (f + g) (x)? f(x) = x^2 + 3; g(x) = x - 1 a x^2 + x + 2 b x ^3-3 c x^3-x^2 + 3x -3 d x^2 -2x +4

A, b, c, and d have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. which sentence about the points is true? a. a, b, c, and d lie on the same line. b. and are perpendicular lines. c. and are parallel lines. d. and are intersecting lines but are not perpendicular. e. and are parallel lines.

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).

The midpoints of the sides of the large square are joined to form a smaller square. what is the area of the smaller square