We may answer the question above by substituting the values of the coordinates of the points in the choices to the x and y of the inequality.
A. (-2, 4) 4 - 4(-2) ≤ -6 12 ≤ -6 FALSE
B. (1, -2) -2 - 4(1<span>) ≤ -6 -6 ≤ -6 TRUE
C (1, 3) 3</span> - 4(1<span>) ≤ -6 -1 ≤ -6 FALSE
D. (2, 3) 3</span> - 4(2<span>) ≤ -6 -5 ≤ -6 FALSE
The answer would be letter B. </span>
Undefined is the answer because there is no value for x
Answer:2.5 cups
Step-by-step explanation:
Given
Rosanne runs 6 miles in an hour
If she drinks 0.5 cups of water every 
of an hour
So in 1 hour Rosanne drinks 1.5 cups
So, for 6 miles Rosanne drinks 1.5 cups
i.e. For 
for 
Answer:
7.5 ft³/min
Step-by-step explanation:
Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.
Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²
So, V = Ah = 2h = 2(10 - x)
The rate of change of volume is thus
dV/dt = d[2(10 - x)]/dt = -2dx/dt
Since dV/dt = 15 ft³/min,
dx/dt = -(dV/dt)/2 = -15 ft³/min ÷ 2 = -7.5 ft³/min
Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt
= -dx/dt
= -(-7.5 ft³/min)
= 7.5 ft³/min
And the height at this point when x = 8 inches = 8 in × 1 ft/12 in = 0.67 ft is h = (10 - 0.67) ft = 9.33 ft
