Answer:
Number of people fit in 6 feet by 6 feet room = 12 people
Step-by-step explanation:
Given:
Number of people fit in 9 feet by 4 feet room = 12 people
Find;
Number of people fit in 6 feet by 6 feet room
Computation:
Surface area of 9 feet by 4 feet room = 9 x 4
Surface area of 9 feet by 4 feet room = 36 feet²
So,
Surface area of 6 feet by 6 feet room = 6 x 6
Surface area of 6 feet by 6 feet room = 36 feet²
Surface area of both rooms are equal. so number of people are also equal
Number of people fit in 6 feet by 6 feet room = 12 people
Answer:
See Below
Step-by-step explanation:
Small Box:
9 dollars for 12 pounds
Per pound cost is:
9/12 = $0.75 per pound
Large Box:
18 dollars for 30 pounds
Per pound cost is:
18/30 = $0.60 per pound
Better deal is large box.
To make the deals same, we can change the number of pounds in the large box. We can lessen it so it becomes the same ratio as dollars to pound.
Small box was
9 to 12
Large box is 18 dollars to WHAT?
18 is double of 9 so, "WHAT" should be double of 12, which is:
12 * 2 = 24
So, we can change large box "30" pounds to "24" pounds.
So, the ratio becomes (cost per pound):
18/24 = $0.75 per pound (same)
Part A
We have

. To solve for the x-intercept, we set f(x) equal to 0. That is

Take the square root of both sides,
The x-intercept is (-2,0).
To solve for the y-intercept, we set x=0. That is
The y-intercept is (0, 8)
The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is
(-3, -1).
Part B.
We have

.
Factor out -2

Complete the square

Simplify

Part C
We have

.
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.