Grayson and Claire are reading the same book. At the beginning of the month, Grayson was on page 40 and Claire was on page 19. Grayson will read 7 pages per day and Claire will read 14 pages per day. Let G
G represent the page of the book that Grayson is on at the end of
t
t days into the month, and let
C
C represent the page of the book that Claire is on at the end of
t
t days into the month. Write an equation for each situation, in terms of
t
,
t, and determine after how many days,
t
,
t, Grayson and Claire will be on the same page of the book.

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria. the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time. create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

]supplementary angles are two angles that add up to . • complementary angles are two angles that add up to degrees. • adjacent angles share a and a • congruent angles have the measure. • an triangle has one angle that is greater than 90 degrees. • a triangle with angles 45°, 45°, and 90° would be a triangle

For a function f(x), a) if f(7) = 22 then f^-1(22) = b) f^-1(f(c)) =