Provide an appropriate response.In solving a system of three equations in three variables, it is impossible to eliminate two variables. Thus, the the final step yields the following equation:z = x + 5.How many solutions does this system have? Explain geometrically.
What will be an ideal response?
There are an infinite number of solutions, which are represented by the points on a line. (Explanations will vary.)
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One rental company charges $58.32 in fees for a television plus $23.76 per week. A second rental company charges $39.14 in fees plus $26.49 per week. How many weeks would make the total cost of renting a television the same for both companies? You can be charged for part of a week, so you should report your answer correct to two decimal places. ?
A. 7.03 weeks B. 58.32 weeks C. 9.03 weeks D. It never happens
Solve the variation problem.The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 18 minutes requires 10.8 gallons of water. Find the amount of water used in a shower lasting 7 minutes.
A. 126 gallons B. 3.6 gallons C. 4.8 gallons D. 4.2 gallons
Solve the nonlinear system of inequalities.y ? - x2 - 6x - 4y ? x2 + 6x + 4
A. 
B. 
C. 
D. 
Which of the following most clearly exemplifies recursive reasoning?
a. Determining the 10th term in a sequence by using the "jump" from one term to the next to produce each of the first 10 terms. b. Determining the 10th term in a sequence by finding a rule that takes the sequence term number as its input and gives its value as the output. c. Determining the 10th term in a sequence by consulting a textbook or online source to find similar sequences. d. Determining the 10th term in a sequence by discussing the problem with classmates.