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2 years ago

Choose the scenario that could be represented by 2/5

Mathematics

1 answer:

Gemiola [76]2 years ago

5 0

As far I as know
It should be A

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Finding an Equation of a tangent Line in Exercise, find an equation of the tangent line to the graph of the function at the give

frutty [35]

Answer:

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

Step-by-step explanation:

to find the tangent line we need to find the derivative of the function g(x).

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

we know that $\frac{d}{dx}(e^{f(x)})=e^{f(x)}f'(x)$

$g'(x) =e^{x^{3}}(3 x^{2})$

$g'(x) =3 x^{2} e^{x^{3}}$

this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'

to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

$m =3 (-1)^{2} e^{(-1)^{3}}\\m =3e^{-1}\\m=\dfrac{3}{e}$

using the equation of line:

$(y-y_1)=m(x-x_1)$

we'll find the equation of the tangent line.

here (x1,y1) =(-1,1/e), and m = 3/e

$(y-\dfrac{1}{e})=\dfrac{3}{e}(x+1)\\y=\dfrac{3x}{e}+\dfrac{3}{e}+\dfrac{1}{e}\\$

$y=\dfrac{3x}{e}+\dfrac{4}{e}$

this is the equation of the tangent at point (-1,1/e)

3 0

2 years ago

If a 3-pound bunch of bananas cost $1.50, how

LUCKY_DIMON [66]

Answer:

Approximately 3 bunches would equal $4.50. So you should be able to buy at least 4 bunches which would be 10 pounds

4 0

3 years ago

G(x)=4.8x -5<br><br> I needed help finding the slope

Artist 52 [7]

Answer:

Slope is 4.8

Step-by-step explanation:

${ \tt{G(x) = 4.8x - 5}} \\$

8 0

2 years ago

Read 2 more answers

A number cube has faces labeled 1-6. What is the probability of rolling a 4 on the number cube and landing on a 2 on this spinne

Lunna [17]

I think its A once again i THINK its A sorry if im wrong

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6 0

3 years ago

HELP

KiRa [710]

M=2,000÷((1−(1+0.072÷12)^(−12
×2))÷(0.072÷12))
M=89.73

8 0

3 years ago

Choose the scenario that could be represented by 2/5​

Choose the scenario that could be represented by 2/5