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3 years ago

The following ordered pairs are solutions to an exponenrial equation: (-2,9), (-1,3), (0,1)

Mathematics

1 answer:

marin [14]3 years ago

6 0

Multiply the things inside the "()" then add those totals

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Lim x-1 x³-2x²+3x-2/(2x^4-3x+1)

UkoKoshka [18]

Since the limit becomes the undetermined form

$\displaystyle \lim_{x\to 1} \dfrac{x^3-2x^2+3x-2}{2x^4-3x+1} \to \dfrac{0}{0}$

it means that both polynomials have a root at $x=1$ . So, we can fact both numerator and denominator:

$x^3-2x^2+3x-2 = (x-1)(x^2-x+2)$

$2x^4-3x+1 = (x-1)(2x^3+2x^2+2x-1)$

So, the fraction becomes

$\dfrac{(x-1)(x^2-x+2)}{(x-1)(2x^3+2x^2+2x-1)} = \dfrac{x^2-x+2}{2x^3+2x^2+2x-1}$

Now, as x approaches 1, you have no problems anymore:

$\displaystyle \lim_{x\to 1} \dfrac{x^2-x+2}{2x^3+2x^2+2x-1} \to \dfrac{2}{5}$

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3 years ago

Who got the Bad Bunny Crocs?

Lady_Fox [76]

Answer:

I doo

Step-by-step explanation:

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3 years ago

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What is the probability that the second sock is black?

coldgirl [10]

I think it would be 5/8

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3 years ago

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In the triangle below, what is the tangent of 45°?

Lana71 [14]

Answer:

Step-by-step explanation:

tan45° = $\frac{opposite}{adjacent}$ = $\frac{1}{1}$ = 1

6 0

4 years ago

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What is the slope intercept form of 16x+2y=12

-Dominant- [34]

So the slope intercept form is y=mx+b where m is slope and b is y intercept

so 16x+2y=12
subtract 16x from both sides
2y=12-16x
divide both sides by 2
y=-8x+6
slope is -8 and y intercept is 6

8 0

3 years ago