Answer:
In the function g(x) = 4x² + 1, <em>4</em> means that all the points in the parent function were multiplied by 4. <em>+ 1 </em>means that the parent graph will shift up by 1.
Answer:
(x,y)=(-1,-4)
Step-by-step explanation:
y=–3x–7
y=x–3
(y=)-3x-7=x-3
-3x-x=-3+7
-4x=4
x=4/(-4)
x=-1
y=x-3
y=-1-3
y=-4
(x,y)=(-1,-4)
Answer:
n - 13
Step-by-step explanation:
n-4-9
We can combine like terms.
n - (4+9)
n - 13
Im gona assume you mean
f(x) = 3x + 2 + 8x + 4. Add like-terms
Y = 11x + 6
0= 11x + 6
-6 = 11x
X= -6/11
Answer:
t = 460.52 min
Step-by-step explanation:
Here is the complete question
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 liters of a dye solution with a concentration of 1 g/liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 liters/min, the well-stirred solution flowing out at the same rate.Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.
Solution
Let Q(t) represent the amount of dye at any time t. Q' represent the net rate of change of amount of dye in the tank. Q' = inflow - outflow.
inflow = 0 (since the incoming water contains no dye)
outflow = concentration × rate of water inflow
Concentration = Quantity/volume = Q/200
outflow = concentration × rate of water inflow = Q/200 g/liter × 2 liters/min = Q/100 g/min.
So, Q' = inflow - outflow = 0 - Q/100
Q' = -Q/100 This is our differential equation. We solve it as follows
Q'/Q = -1/100
∫Q'/Q = ∫-1/100
㏑Q = -t/100 + c

when t = 0, Q = 200 L × 1 g/L = 200 g

We are to find t when Q = 1% of its original value. 1% of 200 g = 0.01 × 200 = 2

㏑0.01 = -t/100
t = -100㏑0.01
t = 460.52 min