Applications with quadratics

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Johnathan Wilkerson
5 years ago
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1 Applications with quadratics 1. A town has a nature preserve with a rectangular field that measures 600 meters by 400 meters. The town wants to double the area of the field by adding an equal amount of land to the length and width. What are the new dimensions of the field? 2. You have a rectangular garden that measures 15 ft. by 10 ft. you want to double the area of your garden by adding the same distance to both the length and width. What are the dimensions of your new garden? 1

2 Applications with quadratics 1. A town has a nature preserve with a rectangular field that measures 600 meters by 400 meters. The town wants to double the area of the field by adding an equal amount of land to the length and width. What are the new dimensions of the field? 2. You have a rectangular garden that measures 15 ft. by 10 ft. you want to double the area of your garden by adding the same distance to both the length and width. What are the dimensions of your new garden? 2

3 3. You have made a rectangular quilt that is 5ft by 4 ft. You want to use the remaining 10 square feet of fabric to add a border of uniform width to the quilt. Find the width of the border 4. Designing a garden for school. You want the garden to be made up of a rectangular flower bed surrounded by a border of uniform width to be covered in decorated stones. The flower bed will be 22 by 15 ft. You have a budget that will allow enough stone to cover 120 square feet. Find the width of the border. 3

4 3. You have made a rectangular quilt that is 5ft by 4 ft. You want to use the remaining 10 square feet of fabric to add a border of uniform width to the quilt. Find the width of the border 4. Designing a garden for school. You want the garden to be made up of a rectangular flower bed surrounded by a border of uniform width to be covered in decorated stones. The flower bed will be 22 by 15 ft. You have a budget that will allow enough stone to cover 120 square feet. Find the width of the border. 4

5 4. If you throw an object upwards with a velocity of v meters per second, its distance in meters, s, above the starting point in t seconds is shown to be s = vt 4.9t 2. How high will a projectile rise if shot vertically with an initial velocity of 150 meters per second. How long will it take the projectile to reach that maximum height and how long before it hits the ground? 5

6 4. If you throw an object upwards with a velocity of v meters per second, its distance in meters, s, above the starting point in t seconds is shown to be s = vt 4.9t 2. How high will a projectile rise if shot vertically with an initial velocity of 150 meters per second. How long will it take the projectile to reach that maximum height and how long before it hits the ground? 6

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9 1. A ferry transports to the Middle Bass Island on Lake Erie during the summer months. The one way fare is $6 a person and 200 people ride the ferry each day. The owner estimates that for every fifty cents the fare is raised, he will lose 10 customers. What should the fare be so the owner makes a maximum revenue? 9

10 1. A ferry transports to the Middle Bass Island on Lake Erie during the summer months. The one way fare is $6 a person and 200 people ride the ferry each day. The owner estimates that for every fifty cents the fare is raised, he will lose 10 customers. What should the fare be so the owner makes a maximum revenue? 10

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15 What is the range of this function? Max or min and what is the value? What is the domain of this function Write in standard form given: By the way... opening vertex axis of symmetry y intercept max or min and give value zeros 15

16 What is the range of this function? Max or min and what is the value? What is the domain of this function Write in standard form given: By the way... opening vertex axis of symmetry y intercept max or min and give value zeros 16

17 Given area is 30 sq. units Find the height Solve the inequality 17

18 Given area is 30 sq. units Find the height Solve the inequality 18

19 Solve: 19

20 Solve: 20

21 Find all of the factors and all of the zeros 21

22 Find all of the factors and all of the zeros 22

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