5. Simon and his sister are playing a guessing game. Simon tells his sister that he is thinking of two positive numbers. The first number minus the second number is 15. The square of the first number minus 20 times the second number is equal to 300. a. Write a system of one linear and one quadratic equation to represent the two numbers. Be sure to define your variables. b. Solve the system of equations. c. What are the two numbers that Simon is thinking of? Explain your reasoning.

Q: _9. What are the solutions of the system in number 7? [A] (+6,0), (±V35, –1) [B] (0,±6), (1,±V35)…

A: Please see the below picture for detailed solution.

Q: Willam Thatcher owns a water park, He charges $3.50 for a child to enter, enter. Yestenday, 300…

A: Given:                          Charges for a child = $3.50                       Charges for an…

Q: 11. If a system of equations has no solution, what does the graph look like? O A. Intersecting Lines…

A: System of equations       A set of simultaneous equations, its called system of equation

Q: 23. The total cost of 5 notebook and 4 pens is $ 120; the total cost of 8 other identical notebooks…

A: 23 Let cost of one notebook is x and cost of one pen is y  According to the first statement 5(cost…

Q: 4 What is the solution to the system of equations shown below? y-2+9 * (4, 1) c (4,5) D. (8, 7)

A:

Q: that there are 66 Professional Mountain Bike Race Teams.  Additionally, the number of non-U.S. teams…

A: let the U.S team race team = y  the non U S team =x

Q: 10. A decorator charges a $75 consultation fee, plus $50 per hour. Another decorator charges a $50…

A: In the question we have to find when the decorators charge the same amount.

Q: 2) What is the solution to the system of equations represented in the tables below? Why does your…

A: We will find the solution to the system of equation.

Q: 10. An electronics store advertised a 19-inch model TV for $349 and a 25-inch model TV for $469.…

A: Price for 19 inch tv is $349 and price for 25 inch tv is $469. They made a total profit of $17516.…

Q: (3) An instructor wants to create a test that has true-false questions, multiple-choice questions,…

A:

Q: 14. State whether the system of equations is INCONSISTENT or has INFINITELY MANY SOLUTION 5x – 3y =…

A:

Q: An instructor wants to create a test that has true-false questions, multiple-choice questions, and…

A: Solution is written in below steps.

Q: Find the solution to the system of equations 10 8 61 4ト -10 8 -6 -642 2 46 8 10 -2ト

A:

Q: 8. Is (2, 3) a solution to the following system of equations? 2x+3y 5 -4x +4y 2 -6-54 1-2-10 A. Yes…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2 3 4 5 6 7 Question A company has to buy computers and printers. Each computer, x, costs $560 and…

A:

Q: 2. Suppose each system of equations below represents a bike and skateboard scenario similar to the…

A:

Q: 12. You are considering a going on a vacation, and you find two different deals on a travel website.…

A: Sun Fun $250 airfare + $140 per night Holiday Excursions $425 airfare + $100 per night (a.) let t be…

Q: 9. Use the scenario to create a system of linear equations, and then solve using elimination. A…

A:

Q: 3. Solve the system of equations to determine the number of bags of M&M's and the number of Hershey…

A: Given: Ms. Smith decided to purchase bags of M&M's and Harshey Bars for all of her students.…

Q: 7. Use the scenario to create a system of linear equations, and then solve using substitution. The…

A: Given query is to create system of linear equations and find  value of x and y.

Q: 5. What is the solution to the system of equations shown below?

A: To find the solution of given system of equations.

Q: If an investor invests a total of $45,000 into two bonds, one that pays 5% simple interest, and the…

A: If an investor invests a total of $45,000 into two bonds, one that pays 5% simple interest, and the…

Q: Make up a system of three linear equations containing three variables that has: (a) No solution (b)…

A: We know that for a system of linear equations if we have, a1a2≠b1b2 then we have one solution and…

Q: A bag contains 23 coins consisting of quarters and dimes. The total value of the coins is $4.55.…

A: A quarter is equal to one-fourth of a United States dollar and a dime is equal to one-tenth of a…

Q: 4. 250 tickets were sold at Friday's basketball game, bringing in a total of $725. General admission…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. When is it best to solve a system of equations using graphing? 2. When is it best to solve a…

A:

Q: I’m solving a three-variable system in which one of the given equations has a missing term, so it…

A: .Determine whether the statement makes sense or does not make sense, and explain your reasoning.

Q: Susan graphed a system of equations for the lines y=3x+1y=3x+1 and y=3x−10y=3x−10.  Which statement…

A:

Q: Suppose that you invest $13600.00 between two accounts. The first account is safer and yields 5.5%…

A: Suppose that you invest $13600.00 between two accounts. The first account is safer and yields 5.5%…

Q: anai invested $20,000, part at 3

A: Given, Hanai invested $20,000, part at 3% interest and part at 5% interest. The investment returned…

Q: 3. What is true about the graph of a system of equations that has infinitely many solutions? A. The…

A: Condition for infinitely many solution

Q: A test has 22 problems, which are worth a total of 130 points. There are two types of problems in…

A: We have to write and solve a system equation.  And find the no. of problem of multiple - choice and…

Q: 3) Which of the following graphs represents a system of equations that has no solutions? C 10 16 O A…

A:

Q: 2. Write a system of equations that has (2, 7.5) as its solution.

A: Standard form of linear equation: A linear equation can be expressed in a variety of ways. "Standard…

Q: Solve the system of linear equations. 6х+ 7у — —12 5х — 8у 3 — 10 - -

A: The substitution method is the algebraic method to solve simultaneous linear equations. As the word…

Q: 3) Darian is walking around with 26 coins, nickels and dimes, in his pocket. The total value Darian…

A:

Q: 16. Solve the system of equations using your graphing calculator. S4x + 5y = 11 læ – y = 5 O (-14,…

A: Graph the system of equation÷

Q: Write a system of two equations in two variables to solve the problem. A sales clerk can choose from…

A: Let x be the amount of selling that must be done each month to fulfill the condition given. Thus:

Q: 55. Consider the system of equations. -2x + 6y = 24 x + y = 2 Which shows an equivalent system of…

A: Given query is to find the system which is equivalent to the given system of equations.

Q: 3. Select the statement that correctly describes the solution to the system of linear equations. y=…

A:

Q: 4 What is the solution to the system of equations shown below? y= 3x-4 A (3.5, 6.5) B (2, 2)

A:

Q: 2. What is the solution to the system of equations? y=-5z +3 y=1 O O (0.4, 1) (0.8, 1) OG (1.0.4) OO…

A: Given that y=-5x+3 y=1 To find the solution to the given system kf equations

Q: Solve the system of equations: x2 + y2 = 52, and x + y = 10. (2, 8), (8, 2) (3, 7), (7, 3)    (4,…

A:

Q: 3. Mr. Sanchez's class sold fruit pies for $1.65 each and Mr. Kelly's class sold bottles of fruit…

A: Let's assume no. of fruit pies = x cost of fruit pies = $ 1.65 no. of fruit juice = y  cost of fruit…

Q: Use the four-step strategy to solve: Use x, y, and z to represent unknown quantities. Then translate…

A: Given: A bar graph that shows the average number of hours U.S college students study per week for…

Q: 4. Alice is running a snack booth at the carnival. She sells lemonade for $1.25 per cup, and cookies…

A:

Q: 1. Define the variables, write a system of equations, solve, and then write the answer in a…

A: For formulating equation and solving first we need to write down the given data. Total number of…

Q: _7. What term is eliminated the when the equations in the following system are subtracted? x² + y² =…

A:

Q: Example Solve the System of Equation by your methc Зх + у 3 11 6х + 3у 3D 24

A:

Q: -3 2 Suppose you are given the system and you know that How can you solve this system?

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.