Mr cruz cut three pieces of wood for a project .the first piece of lumber is the longest. the second is 7/8 times as long as the first piece . the third piece is 12 5/16 inches shorter than the second piece the their piece is 24 7/16 inches long
a)how long is the first piece of wood?
b)how much wood did mr cruz use to make all 3 pieces?
c)mr cruz has 32 ft of lumber left he wants to cut 4 more of each of the pieces described above does he have enough lumber? justify your answer

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.

Complete the synthetic division problem below.what is the quotient in polynomial form 2/16 -16

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)