For Exercises 1-2, for parts (a) and (b), graph the equation. For part (c) solve the system ofequations. For parts (d) and (e) graph the solution set to the system of inequalities. If there isno solution, indicate that the solution set is the empty set.
1. a.
b.
c.
d.
e.
a.
Toplot : the graph of the given equation.
Explanation of Solution
Given : the given equation is
Graph :
Interpretation : From the above graph,It is the straight line passes through x axis at (1.667,0) and y axis at (0,5).
b.
To plot : the graph of the given equation.
Explanation of Solution
Given : the given equation is
Graph :
Interpretation : From the above graph,It is the straight line passes through origin.
c.
Tosolve: the given equations.
Answer to Problem 1PRE
Explanation of Solution
Given information : There are given two equations.
Calculation:
Hence, the solution of the given equations are x=1 and y=2.
d.
To plot: the graph of solution set to the system of inequalities.
Explanation of Solution
Given : the given inequalities are
Graph :
Interpretation : From the above graph, the common shaded region shows that the solution set of given inequalities.
e.
To plot: the graph of solution set to the system of inequalities.
Explanation of Solution
Given : the given inequalities are
Graph :
Interpretation : From the above graph, the common shaded region shows that the solution set of given inequalities.
Want to see more full solutions like this?
Chapter 9 Solutions
Student Solutions Manual for College Algebra & Trigonometry
Additional Math Textbook Solutions
Algebra and Trigonometry
A Graphical Approach to College Algebra (6th Edition)
Elementary & Intermediate Algebra
Prealgebra (7th Edition)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Intermediate Algebra (12th Edition)
- Solve the system of equations by using elimination. Order your answers from smallest to largest x, then from smallest to largest y.) x2 + y2 = 49 x2 − 2y = 14 (x,y)= (x,y)= (x,y)=arrow_forwardA merchant wants to combine two classes of peanuts with nuts which costs are, respectively, of $1.5, $2.5 and $4 per pound. He wants to obtain 130 pounds of the mix that costs $3 per pound. How many pounds of each class will he need to use if he also wants the quantity of the peanuts of the cheapest variety, to be the double of the most expensive variety? Resolve using just equations (either first or second grade) and systems of equations.arrow_forwardThe newly crowned Miss Universe Beatriz Luigi Gomez plans to buy fruits. A mango costs ₱20 each while a guava costs ₱15 each. She can spend no more than ₱180. The total number of it is not exceed to 8. Write the system of linear inequalities in two variables and draw the graph of the system of linear inequalities in two variables I WILL RATE ASAP. PLEASE SHOW COMPLETE SOLUTION.arrow_forward
- Determine graphically the solution set for the system of inequalities. 4x − 5y ≤ 20 5x + 6y ≤ 30 x ≥ 0 y ≥ 0 How do i graph? what kind of line do i use and how do i figure out the points PLEASE EXPLAIN WELLarrow_forwardYou are now the director of Parades are Great Marching Band. You must order 35 new uniforms for the band. There are usually five more girls than twice the number of boys. How many uniforms of each type should you order for the band? The x stands for (___) and the y stands for (___). The system of equations written in slope-intercept form are (___) and (___). The solution for the system of equations is (___ , ___).arrow_forwardNaomi is working two summer jobs, making $7 per hour walking dogs and making $19 per hour tutoring. In a given week, she can work no more than 10 total hours and must earn at least $95. Also, she must work no less than 3 hours walking dogs and at most 5 hours tutoring. If xx represents the number of hours walking dogs and yy represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.arrow_forward
- Solve the system of equations by using elimination. Order your answers from smallest to largest x, then from smallest to largest y.) x2 + y2 = 16 x2 − y = 4 (x, y)= (x, y)= (x, y)=arrow_forwardDetermine whether the given ordered pair is a solution to the system of equations. −2x−4y =8 −x+8y =14 Ordered pair: (−6,1) (a) Yes, it is a solution. (b) No, it is not a solution. In a few sentences, please explain how you arrived at your answer.arrow_forwardFor which system of inequalities is (-3,1) a solutionarrow_forward
- Solve the system of equations by using elimination. Order your answers from smallest to largest x, then from smallest to largest y.) x2 − y2 = 1 x2 − 7y = 9 (x, y)= (x, y)= (x, y)= (x, y)=arrow_forwardMila and her children went into a grocery store where they sell apples for $0.75 each and peaches for $0.50 each. Mila has $9 to spend and must buy a minimum of 13 apples and peaches altogether. Also, she must buy no more than 5 apples and no more than 15 peaches. If xx represents the number of apples purchased and yy represents the number of peaches purchased, write and solve a system of inequalities graphically and determine one possible solution.arrow_forwardIs (−2, 0) a solution to the system? Write your reasoning for number 1 answer. Is (−2, 3) a solution to the system?arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL