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CaHeK987 [17]
3 years ago
10

Simplify: -2 (x - 5) + 6x

Mathematics
2 answers:
Monica [59]3 years ago
7 0

Answer:

The answer is 4x+10

Step-by-step explanation:

-2(x-5)+6x= -2x+10+6x

                =4x+10

Ulleksa [173]3 years ago
4 0

Answer:

4x +10

Step-by-step explanation:

-2(x-5) +6x

-2x +10 +6x

4x +10

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Lim x-1 x³-2x²+3x-2/(2x^4-3x+1)
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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
|z - 1| = 7z - 13 solve this equation and check for extraneous solutions
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|z - 1|  = 7z - 13
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z - 1 = 7z - 13
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z + 7z = 13 + 1
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z = 14 \times 8 = 1.75
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