The number of gallons of water in the tank at t=10 is
... W(10) = 160,000 -10(8000 -10) = 80100
The number of gallons of water in the tank at t=10.5 is
... W(10.5) = 160,000 -10.5(8000 -10.5) = 76110.25
The rate of change over the interval is
... (W(10.5) - W(10))/(10.5 - 10) = (76110.25 - 80100)/(0.5) = -7979.5
The average rate of change in the number of gallons of water in the tank over the interval is -7979.5 gal/min.
The sign is negative, so the amount of water is decreasing.
Answer:
7.5 30
45 180
Step-by-step explanation:
The given line has x = 1.25 and y = 5.
y/x = 5/1.25 = 4
x is multiplied by 4 to get y since 1.25 * 4 = 5.
That means the equation is
y = 4x
For a proportional function, every value of x must be multiplied by 4 to get y.
x = 7.5
y = 4x = 4(7.5) = 30
7.5 30
We need to find the values for the last line.
11 * 4 = 44
There is no 44
13.75 * 4 = 55
There is no 55.
17.5 * 4 = 70
There is no 70
30 * 4 = 120
There is no 120.
45 * 4 = 180
There is a 180.
45 180
Answer:
7.5 30
45 180
A) (-2,4) hope this helps
Answer:
y=4/3-1/6x
Step-by-step explanation:
1) subtract "x" from both sides:
6y=8-x
2)divide by 6 on both sides(EVERYTHING WILL BE DIVIDED BY 6)
6y/6=(8-x)/6
y=(8-x)/6
2)simplify:
y=4/3-x/6
Answer:
4x^3 − 16x^2 − 12x − 40
Step-by-step explanation:
= 4(x)(x^2 +x +2) +4(-5)(x^2 +x +2) . . . use the distributive property
= 4x^3 +4x^2 +8x -20x^2 -20x -40 . . . . and again
= 4x^3 -16x^2 -12x -40