Drag the expressions to the correct functions. Not all expressions will be used. Consider the functions fand g. f1 () = 4x2 + 1 g(t) = x2 = r2 – 3 Perform the function compositions. 404 – 24r2 + 36 1614 + 8.12 + 1 404 + 1112 - 3 3 404 – 2402 + 37 - - 4r4 11r2 – 3 16 r4 + 8r2 – 2 = (fog)(x) = (gof)(x) = =

Find the required measurements of the following trapezoids. a = 8 cm b = 16 cm h = 10 cm

Acircle has a circumference of 28.36 units what is the diameter of the circle

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?