Answer:
a = 6, b = - 12
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms to those on the right side.
a(4x - 10) ← distribute parenthesis
= 4ax - 10a
Compare to 24x + 5b , then
4a = 24 ( divide both sides by 4 )
a = 6
Then
5b = - 10a = - 10(6) = - 60 ( divide both sides by 5 )
b = - 12
He eats 2 pieces because 1/3 of 6 would be 2 leaving 4 pieces remaining.
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:
Step-by-step explanation:
(-2)(1)(3)(-1) - (1)(3)(-1)(-2)
6 - 6 = 0