Answer:
y is decreasing by 10units per second
Step-by-step explanation:
Given xy = 15
If x = 3
y = 15/3
y = 5
dx/dt= 6
Differentiating xy = 15 implicitly with respect to t using product rule
x
xdy/dt + ydx/dt = 0
Substitute the given value into the expression and solve for dy/dt as shown:
3dy/dt + 5(6) = 0
3dy/dt + 30 = 0
3dy/dt = -30
Divide both sides by 3
(3dy/dt )/3 = -30/3
dy/dt = -10
This means that y is decreasing by 10units per second (it is decreasing because of the negative sign)
Combine like terms.
3x+(x-8)= 120
4x-8= 120
Add 8 to both sides.
4x= 128
Divide by 4 into both sides.
x= 32
I hope this helps!
~cupcake
Answer:
T = 40 (minutes?)
Step-by-step explanation:
Given the equation G = 50 + 20T, where G = the total amount of gas and T = the amount of Time, we know that there is already 50 gallons of gas in the tank and that the rate at which it is pumped is 20 gallons per minute (I am assuming, though it is not stated in the problem). Given that the tank holds 850 gallons, we can plug in the values into the equation and solve for the missing variable, T:
850 = 50 + 2T
Subtract 50 from both sides: 850 - 50 = 50 + 2T - 50 or 800 = 2T
Divide 2 from both sides: 800/2 = 2T/2
Solve for T: 40 = T
They are similar.
sorry for reporting you by accident
Answer:
x
<
−
4
Step-by-step explanation:
Solve by:
Factoring, substituting for variables, then simplify!
Hope this helps!!
