Given the following set, determine which numbers are Natural numbers, Integers, Rational numbers, Irrational numbers, and Real numbers. (For each, select all that apply.)

B = {-5/3, 1.060606... (the block 06 repeats), 1.25, 0, 2, 5}

(a) Natural numbers 1 1.25 none of these 5 1.060606... 2 0 -5/3	(b) Integers 2 1.060606... 0 -5/3 5 none of these 2 1.25	(c) Rational numbers 3 5 1.060606... 2 none of these 1.25 -5/3 0
(d) Irrational numbers 4 5 1.25 1.060606... -5/3 2 0 none of these	(e) Real numbers 5 0 5 none of these -5/3 1.25 1.060606... 2

Carole and Canter agree to share the cost of an $11 pizza based on how much each ate. If Carole ate 2/3 the amount Canter ate, how much should each pay?

$

Enter a number.

1 (Carole)
$

Enter a number.

2 (Canter)

Find the distance d(P₁, P₂) between the points P₁ and P₂.

P₁ = (a, b); P₂ = (0, 0)

Enter a mathematical expression.

1

Match each of the following functions with the graphs that best describe the situation.

(a) The cost of building a house as a function of its square footage.
1 ---Select--- I II III IV V
(b) The height of an egg dropped from a 300 foot building as a function of time.
2 ---Select--- I II III IV V
(c) The height of a human as a function of time.
3 ---Select--- I II III IV V
(d) The demand for Big Macs as a function of price.
4 ---Select--- I II III IV V
(e) The height of a child on a swing as a function of time.
5 ---Select--- I II III IV V

Tell the maximum number of real zeros that this polynomial function may have. Then select the potential rational zeros of the polynomial function. Do not attempt to find the zeros.

f(x) = 3x⁴ - 3x³ + x² - x + 1

Maximum number of real zeros

Enter a number.

1

Potential zeros (Select all that apply.)