M
A
T
H
Spring Break Stats
100

If f(x) = 6x^2 - x - 1   and    g(x) = x - 1

what is (g+f)(x)? 

6x^2 - 2

100

If f(x) = 2x^2 - x - 3   and    g(x) = x + 1

what is (f+g)(x)? 

2x^2 - 2

100

If f(x) = 4x - 3   and    g(x) = 5x^2 - 2

what is (f+g)(x)? 

5x^2 + 4x - 5

100

If f(x) = 4 - x   and    g(x) = 2x^2 + x + 5

what is (g-f)(x)?

2x^2 + 2x + 1

100

Name one of the top 4 countries (outside of US) to travel to for Spring Break.

Mexico, Jamaica, the Bahamas, and the Dominican Republic

200

If f(x) = 6x^2 - x - 1   and    g(x) = x - 1

what is (f-g)(x)? 

6x^2 - 2x 

200

If f(x) = 2x^2 - x - 3   and    g(x) = x + 1

what is (f-g)(x)? 

2x^2 - 2x - 4 

200

If f(x) = 4x - 3   and    g(x) = 5x^2 - 2

what is (g-f)(x)? 

5x^2 - 4x + 1

200

If f(x) = 4 - x   and    g(x) = 2x^2 + x + 5

what is (f-g)(x)?

-2x^2 - 2x - 1 

200

Name one of the top 4 travel destinations inside the US.

1) Panama City Beach, Florida, 2) Daytona Beach, Florida; 3) South Padre Island, Texas; and 4) any of Colorado’s ski resorts.

300

If f(x) = 6x^2 - x - 1   and    g(x) = x - 1

what is (f*g)(x)? 

6x^3 - 7x^2 + 1

300

If f(x) = 2x^2 - x - 3   and    g(x) = x + 1

what is (g-f)(x)? 

-2x^2 + 2x + 4

300

If f(x) = 4x - 3   and    g(x) = 5x^2 - 2

what is (f-g)(x)? 

-5x^2 + 4x - 1

300

If f(x) = 4 - x   and    g(x) = 2x^2 + x + 5

what is (g*f)(x)? 

- 2x^3 + 7x^2 - x + 20

300

On average, how many Americans are arrested abroad on Spring Break? (BE CAREFUL)

About 2500 (BE CAREFUL!)

400

If f(x) = 6x^2 - x - 1   and    g(x) = x - 1

what is (f/g)(x)? (Remember to list domain restrictions)

(2x-1)(3x+1) / (x-1)     DR x = 1

400

If f(x) = 2x^2 - x - 3   and    g(x) = x + 1

what is (f*g)(x)? 

2x^3 + x^2 - 4x - 3

400

If f(x) = 4x - 3   and    g(x) = 5x^2 - 2

what is (f*g)(x)?

20x^3 - 15x^2 - 8x + 6

400

If f(x) = 4 - x   and    g(x) = 2x^2 + x + 5

what is (g/f)(x)? (Remember to list domain restrictions)

(2x^2 + x + 5) / (4-x)      DR x = 4

400

What is considered the birthplace of Spring Break? City and State

Ft Lauderdale, FL

500

If f(x) = 6x^2 - x - 1   and    g(x) = x - 1

what is (g/f)(x)? (Remember to list domain restrictions)

(x+1) / (2x-1)(3x+1)   DR x = 1/2, -1/3

500

If f(x) = 2x^2 - x - 3   and    g(x) = x + 1

what is (g/f)(x)? (Remember to list domain restrictions)

1 / (2x-3)     DR  x = -1, 3/2

500

If f(x) = 4x - 3   and    g(x) = 5x^2 - 2

what is (f/g)(x)? (Remember to list domain restrictions)

(4x-3) / (5x^2 - 2)     DR  x = sqroot(2/5)

500

If f(x) = 4 - x   and    g(x) = 2x^2 + x + 5

what is (f/g)(x)? (Remember to list domain restrictions, hint need Q.F.)

(4-x) / (2x^2 + x + 5)    DR = (-1 +- sqroot(-39)) / 4

500

On average, how many college students travel for Spring Break each year?

1.5-2 million