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MArishka [77]
3 years ago
15

What does -2(3x-4)=8 mean??

Mathematics
1 answer:
Tom [10]3 years ago
6 0
-2(3x-4)=8
-6x + 8 = 8
-6x = 0
x = 0
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What is the completely factored form of f(x)=x3+5x2+4x−6?
Gre4nikov [31]
f(x)=x^3+5x^2+4x-6
f(-3)=(-3)^3+5(-3)^2+4(-3)-6=0\implies x+3\text{ is a factor of }f(x)

Synthetic division yields

-3  |  1   5   4   -6
.    |      -3  -6    6
- - - - - - - - - - - - -
.    |  1   2  -2    0

which translates to

\dfrac{x^3+5x^2+4x-6}{x+3}=x^2+2x-2

with remainder 0. Now by the quadratic formula,

x^2+2x-2=0\implies x=\dfrac{-2\pm\sqrt{2^2-4(1)(-2)}}2=-1\pm\sqrt3

and so

f(x)=x^3+5x^2+4x-6=(x+3)(x-(-1+\sqrt3))(x-(-1-\sqrt3))
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3 years ago
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Step-by-step explanation:

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3 years ago
What is the value expression for |-8|
Alenkinab [10]

Answer:

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Step-by-step explanation:

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Ethan has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a
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Answer: 620≥ 427.57+ 11.38(4)+ (31.41) +57.75x

Step-by-step explanation:

So our limit is the 620$ that he has to spend. We know for a fact that the bike costs about 427.57 dollars. 4  $11.38 reflectors are purchased as well as gloves for 31.41.  Now however many outfits he can purchase cannot exceed or go over his money limit of 620 so the variable (x) represents how many outfits he can buy without going over.

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x ≈ 50.76

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Sin72º = \frac{x}{200}

200Sin72º

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Hope this is helpful :')

7 0
3 years ago
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