Answer
6 is the nearest tenth it did not say ten it said ten-th
Answer:
This is a linear function because there is a common difference of 4
⇒ 2nd answer
Step-by-step explanation:
- In the linear function there is a common difference between each two
consecutive data
- In the exponential function there is a common ratio between each two
consecutive data
- Lats check the data in the data in the table
(x) === 1 ⇒ 2 ⇒ 3
f(x) === 4 ⇒ 8 ⇒ 12
∵ x has consecutive numbers 1 , 2 , 3
∵ 8 - 4 = 4
∵ 12 - 8 = 4
∴ f(x) has a common difference 4
∵ 8 ÷ 4 = 2
∵ 12 ÷ 8 = 1.5
∴ f(x) has no common ratio
∴ The table represents a linear function with common difference 4
This is a linear function because there is a common difference of 4
Answer:
Step-by-step explanation: 6x+5x=3x+2x-54
11x=5x-54
+5x +5x
16x=54
16 16
x=3.375
Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of
(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min
and flows out at a rate of
(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min
Then the net flow rate is governed by the differential equation
Solve for S(t):
The left side is the derivative of a product:
![\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5Be%5E%7Bt%2F800%7DS%28t%29%5Cright%5D%3D%5Cdfrac8%7B100%7De%5E%7Bt%2F800%7D)
Integrate both sides:
There's no sugar in the water at the start, so (a) S(0) = 0, which gives
and so (b) the amount of sugar in the tank at time t is
As 
, the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.
Answer:
a = -3
Step-by-step explanation:
3a - 6a + 2 = 8a + 20 - 5a
Combine Like Terms
-3a + 2 = 3a + 20
-2 -2
-------------------------------------
-3a = 3a + 18
-3a -3a
-------------------------------------
-6a = 18
---- ----
-6 -6
a = -3
