System of Nonlinear Equations Real Application

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

Find the solution by graphing on DESMOS.

• (2,3) and (3,-15)

• (-3,-15) and (4,-8)

• (-3,15) and (8,4)

• (-8,4) and (-4,10)

What are the solutions to the graphed system?

• (0,-2) and (1,3)

• (-2,0) and (2,0)

• (0,-2) and (3,1)

• (2,2) and (1,0)

How many solutions does this system of equations have?

• one solution

• two solutions

• no solutions

• All of the above

Find ALL solutions to the system of non-linear equations: *Use the "substitution" method* katex latex="x^2+y=125" katex latex="y=4x^2"

• No Solutions

• No Solutions
  

Michelangelo decided to order Pizza Hut last night. He purchased 3 pizzas and 2 orders of breadsticks for a total of $29.50. Donatello ordered 2 pizzas and 3 orders of breadsticks last Sunday for a total of $23. Set up a system. Let "p" represent the price per pizza and "b" represent the price of an order of breaksticks.

• 3p + 2b = 29.50
  2p + 3b = 23

• 3p + 2b = 23
  2p + 3b = 29.50

• 3b + 2p = 29.50
  2b + 3p = 23

• 5bp = 29.50
  5bp = 23

Enterprise charges to rent compact cars for a fixed amount per day plus a fixed amount for each mile driven. Batman rented a car for 6 days, drove it 550 miles and spent $337. Superman rented the same car for 3 days, drove for 350 miles and spent $185. Set up the system. Let "d" represent the fixed charge per day and "m" represent the cost per mile.

• 6d + 550m = 337
  3d + 350m = 185

• 6d + 550m = 185
  3d + 350m = 337

• 6m + 550d = 337
  3m + 350d = 185

• 6m + 550d = 185
  3m + 350d = 337

Peyton Manning is comparing two weekend resort specials to relax at now that he has retired. Package A offers a 2-night stay and 3 meals that costs $195. Package B offers a 3-night stay and 5 meals that costs $300. Let "x" represent the cost per night and "y" represent the cost per meal.

• 2x + 3y = 195
  3x + 5y = 300

• 2x + 3y = 300
  3x + 5y = 195

• 2y + 3x = 195
  3y + 5x = 300

• 2y + 3x = 300
  3y + 5x = 195