Maggie wants to create a Valentine's Day card. It begins with a red square-shaped leaf with sides measuring 12 cm. She then glues two white semicircles on it, each with a radius of 3cm, and a white triangle, as shown below. (The dotted line and right angle symbols will not appear on the final map.) She wants to write her message in red on the white region of the card. Determine the total area of ​​white space available for Maggie's special message.

3. solve the given inequality and graph the solution on a number line.

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.

Which will form a composite function?