Functions f(x)= 1 - I x - 1 I and g(x)= I 2x - a I are given. Prove that for every the area bounded by the graphs of the given functions is less than . (Solve without using differentiation and integrals.)

Read the following two statements. then use the law of syllogism to draw a conclusion. if the tv is too loud, then it will give me a headache. if i have a headache, then i will have to rest.

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.

Drag each number to the correct location on the statements. not all numbers will be used. consider the sequence below. -34, -21, -8, 5, complete the recursively defined function to describe this sequence