Problem 1: The height of water in a bathtub, w, is a function of time, t. Let P represent this function. Height

is measured in inches and time in minutes.

Match each statement in function notation with a description.

A: P (0)=0

1: After 20 minutes, the bathtub is empty.

B:P (4)= 10

2: The bathtub starts out with no water.

C:P (10) = 4

3: After 10 minutes, the height of the water is 4 inches.

D: P (20) = 0

4: The height of the water is 10 inches after 4 minutes.

A = 2

D = 1

B = 4

C = 3

Step-by-step explanation:

Height of water in bathtub is a function of water in bathtub.

P(t) = w ; t = time ; w = height of water.

A: P (0)=0 ; At time, t = 0 ; height of water = 0, there is no water on bathtub

2: The bathtub starts out with no water.

D: P (20) = 0 ; At time, t = 20 ; w = 0 ;the tub is empty.

1: After 20 minutes, the bathtub is empty.

B:P (4)= 10 `; At t = 4, w = 10 ; height of water in bath tub is 10

4: The height of the water is 10 inches after 4 minutes

C:P (10) = 4 ; At t = 10, w =4, height of water in bathtub = 4 inches

3: After 10 minutes, the height of the water is 4 inches.

.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

step-by-step explanation: 4 cause 2+2=4