Diana drew the number line shown below. She placed a point on the number line to show a fraction 0
+
1
What values for a and bin create the fraction shown by the point on Diana's number line? Explain how you found the answer.

Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use any method invocations.

Write the equations in logarithmic form 10^3=1,000

Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x^3 + 4. include the average rate of change in your answer.