Chapter 3 Part 2 Unit TEST: Quadratic Equations and Complex Numbers Answers

Which graph shows the solution to the following system of inequalities?

Mark is solving the following system.Step 1: He multiplies equation (1) by 7 and adds it to equation (3). Step 2: He multiplies equation (3) by 2 and adds it to equation (2). Which statement explains Mark’s mistake?

What is the solution to the system of equations?

A company plans to sell pens for $2 each. The company’s financial planner estimates that the cost, y, of manufacturing the pens is a quadratic function with a y-intercept of 120 and a vertex of (250, 370). What is the minimum number of pens the company must sell to make a profit?

The constraints of a problem are listed below. What are the vertices of the feasible region?

Which graph represents the solution of y ≤ x2 + 1 and x > y2 – 5?

In their last basketball game, Becky scored twice as many points as Min. Together, they scored 42 points. How many points did Becky score?

A farm irrigation system waters a large field. Consider the center of the field as the origin and the rest of the field as a grid measured in yards. The first irrigation unit is located at the point (–400, –200) and waters 500 yards in every direction. The second is located at (200, 300) and waters 400 yards in every direction. The system of inequalities represents this scenario.

A small organic food store makes two types of fruit smoothies: tropical and sport. Each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. Each sport smoothie uses 3 oz of orange juice and 3 oz of milk. The store buys the orange juice in a 210-oz container and milk in a 150-oz container. The store sells the tropical smoothies for $4 and sells the sport smoothie for $3. What is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk?

Which region represents the solution to the given system of inequalities?

Two boats depart from a port located at (–10, 0) in a coordinate system measured in kilometers, and they travel in a positive x-direction. The first boat follows a path that can be modeled by a quadratic function with a vertex at (0, 5), and the second boat follows a path that can be modeled by a linear function and passes through the point (10, 4). At what point, besides the common starting location of the port, do the paths of the two boats cross?