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Elena L [17]
3 years ago
7

Given the equation square root of 2x-1=7 solve for x and identify if it is an extraneous solution. I came up with the answer 25

but is it an extraneous solution?
Mathematics
1 answer:
alexira [117]3 years ago
3 0

Step-by-step explanation:

To check if a solution is extraneous, simply plug it back into the original equation.  If it works, then solution isn't extraneous.

√(2x−1) = 7

√(2(25)−1) = 7

√(50−1) = 7

√(49) = 7

7 = 7

So the solution isn't extraneous.

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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
3 years ago
Can you help me please?
iren [92.7K]

Finding the volume of a cube involves multiplying with this formula.

Height * Width * Length = volume

To find what the side lengths are, we can take the cube root of 64.

∛64 = 4

Height = 4

Width = 4

Length = 4

These sides are multiplied together to get 64.

The only answer choice that makes sense is Option A.

______

Best Regards,

Wolfyy :)

6 0
3 years ago
Read 2 more answers
Is 243 prime??????????
Fofino [41]
No, 243 is not a prime number, it is a composite number.

I hope I helped you again :-)
5 0
4 years ago
Read 2 more answers
the perimeter of a rectangular painting is 356 centimeters. if the length of the painting is 96 centimeters, what is its width.
sladkih [1.3K]
P = 2(l + w)
p = 356
l = 96

356 = 2(96 + w)
356 = 192 + 2w
356 - 192 = 2w
164 = 2w
164/2 = w
82 = w

check....
p = 2(l + w)
356 = 2(96 + 82)
356 = 2(178)
356 = 356 (correct)

so the width (w) = 82 cm

5 0
3 years ago
What does the graph of lnx look like?
qwelly [4]
This is what the graph of in(x) looks like

7 0
3 years ago
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