If (x, 4) lies on the line 3x+y=10, we can just substitute the values in
x=x and 4=y
3x+4= 10
Subtract 4 from each side
3x= 6
Divide by 3 on each side
x=2
so the x in (x,4) must be 2
Answer:
1. Yes it does. It's a function because it pass in the vertical line test, which tell us that if you can draw an vertical line through the graph and this line touches the graph in only one point, it is a function.
2. B. I and II only
3. A. y = 8/7 x +5
Answer
5 days and six hours or 126 hours
The bathtub has dimensions 5 ft by 3 ft by 18 inches.
Note that 18 inches = 18/12 = 1.5 ft.
The volume of the bathtub is
V = 5*3*1.5 = 22.5 ft³
The bathtub is three-fourths (0.75) full of water. Therefore the volume of water is
0.75*22.5 = 16.875 ft³
The water is lost at the rate of 1 ft³/min.
If it takes x minutes to empty the bathtub, then
(1 ft³/min)*(x min) = (16.875 ft³)
x = 16.875 min
Answer: 16.875 minutes
