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valentina_108 [34]
3 years ago
13

Describe how the graph of y | x| -4 is like the graph of y= |x| and how it is different.

Mathematics
2 answers:
kondor19780726 [428]3 years ago
5 0

Answer:

The graph of y=|x|-4 is the same as y=|x|.

Step-by-step explanation:

zhannawk [14.2K]3 years ago
4 0
The graph y=|x|-4 is obtained from the graph y=|x| dy <span>moving down 4 units the graph y=|x|  along the y-axis (see, if x=0, then for y=|x|, y=0 and for y=|x|-4, y=-4).
</span>
These two graphs have the same form.
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Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x − 23 g(x) = −4.5x + 7
jeka94

Answer:

(The solution is (4, -11).

Step-by-stp explanation:

Let f(x) = g(x) = y:

y = 3x − 23

y = -4.5x + 7     Subtract the second equation from the first to eliminate y:

0 = 7.5x - 30

7.5x = 30

x = 4

Plug this into the first equation:

y = 3(4) - 23

y =  -11.

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Answer:

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Step-by-step explanation:

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3 years ago
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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

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\dfrac{\mathrm dS(t)}{\mathrm dt}=\dfrac8{100}-\dfrac{S(t)}{800}

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\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{S(t)}{800}=\dfrac8{100}

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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}

Integrate both sides:

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e^{t/800}S(t)=64e^{t/800}+C

S(t)=64+Ce^{-t/800}

There's no sugar in the water at the start, so (a) S(0) = 0, which gives

0=64+C\impleis C=-64

and so (b) the amount of sugar in the tank at time t is

S(t)=64\left(1-e^{-t/800}\right)

As t\to\infty, the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.

7 0
4 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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