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Dmitriy789 [7]
3 years ago
15

4x - 2y = -8 Write this equation in slope-intercept form then identify the slope and the y-intercept! Please show your work in o

rder to get credit!
Mathematics
1 answer:
Aliun [14]3 years ago
6 0

Answer:

y = 2x + 4

Step-by-step explanation:

4x - 2y = -8

Then subtract 4x from both side which will give you

-2y = -4x - 8

then divide -2 from both sides which will give you

y = 2x + 4

slope: 2

y intercept: 4

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Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g.
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Answer:

The answer is "cirtical\  points \ (x,g(x))\equiv  (e,0),(e+3,\frac{27}{e^3})"

Step-by-step explanation:

Given:

g(x) = (x-e)^3e^{-(x-e)}

Find critical points:

g(x) = (x-e)^3e^{(e-x)}

differentiate the value with respect of x:

\to g'(x)= (x-e)^3 \frac{d}{dx}e^{e-r} +e^{e-r}  \frac{d}{dx}(x-e)^3=(x-e)^2 e^{(e-x)} [-x+e+3]

critical points g'(x)=0

\to (x-e)^2 e^{(e-x)} [e+3-x]=0\\\\\to e^{(e-x)}\neq 0 \\\\\to (x-e)^2=0\\\\ \to [e+3-x]=0\\\\\to x=e\\\\\to x=e+3\\\\\to x= e,e+3

So,

The critical points of (x,g(x))\equiv  (e,0),(e+3,\frac{27}{e^3})

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3 years ago
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Step-by-step explanation:

Slope =(x2-x1/y2-y1)

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slope =-4/5

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Last question I need help with an answer not a link
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3 years ago
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