Explain : In your own words, describe a step-by-step approach for solving algebraic word problems.

Using a graph to find the intersection of two curves can be challenging when the point of intersection is not on gridlines or ends up off the graph. Therefore, it helps to know another way to find the intersection without using a graph.

a. Name the algebraic methods you already know to solve linear systems.

b. Use one of the methods you listed in part

(a) to solve for the intersection of ${\displaystyle y=x^2-3x-10}$ and $y=-2x+2$. Carefully record your steps. Be sure to collaborate with your teammates and check your results along the way. Keep your work for this problem in a safe place. You will need it later in this lesson.

Show that 3x 2 + x + 1 is Θ(x 2 ).

The equation y=5,280x gives the number of feet, in x miles. what does the number 5280 represent in this relationshi?

Janet has 4 ¾ cups of sugar. She needs 1 ¼ cups to make 1 cake. How many cakes can she make?

A simple binary communication channel carries messages by using two signals 0 and 1. It was assumed that for a given binary channel, 40% of the time a 1 is transmitted; the probability that a transmitted 0 is correctly received is 0.90 ; the probability that 1 is correctly received 0.95 . This information is illustrated in Figure 1 where 1 . 0 . 1 . 0 . A event that is transmitted A event that is transmitted B event that is received B event that is received = = = = Figure 1: A single-stage binary communication channel a. Find P B( ) and P B( ) and P A B ( ) b. If P B A P C B ( ) ( ) = and P B A P C B ( ) ( ) = , find P C B ( ) and P C B ( ) c. Illustrate all the information on a two- stage binary communication channel in figure 2 below. Figure 2: A two-stage binary communication channel d. Illustrate the two-stage binary communication channel in c. above on a tree diagram with their respective probability. e. Find P ABC ( ) , P C( ) and P C( )