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Anastasy [175]
3 years ago
13

F(x) = (x^3)-(3x^2)-3x+1 factor please

Mathematics
1 answer:
Anni [7]3 years ago
5 0

Answer:

(x+1)(x²-4x+1)

Step-by-step explanation:

f(x) = x³-3x²-3x+1

     = (x³+1) - 3x (x+1)

     = (x+1)(x²-x+1) - 3x(x+1)

     = (x+1)(x²-x+1-3x)

     = <u>(x+1)(x²-4x+1)</u>

<u />

** (x+1)(x²-4x+1) = (x+1)((x-2)² - 3)

                        = (x+1)((x-2)² - (√3)²)

                        = (x+1)(x-2-√3)(x-2+√3)

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If you use a proportion, you'll get:

\frac{0.25}{12} =  \frac{x}{8}

Then, you use cross products:

12x=0.25(8) \\ 12x=2

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12x=2 \\ \frac{12x}{12} =  \frac{2}{12}  \\ x= \frac{5}{3}

The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.
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3 years ago
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8 0
3 years ago
Can someone help me with this f(g(x))=2(3x-4)^2+5?
Greeley [361]

Answer:

f(x)=349525

Step-by-step explanation:

f(x)=2(3x-4)^2+5

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/-6x       /-6x

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7 0
3 years ago
I need to solve for x and y. Any help is greatly appreciated! Thank you!
Inessa05 [86]

x=-3, y=1

Step-by-step explanation:

Given equations are:

2x-3y=-9     Eqn 1

x+y = - 2      Eqn 2

From eqn 2:

x=-y-2

Putting x=-y-2 in eqn 1

2(-y-2)-3y=-9\\-2y+4-3y=-9\\-5y-4=-9\\Adding\ 4\ on\ both\ sides\\-5y-4+4=-9+4\\-5y=-5\\Dividing\ both\ sides\ by\ -5\frac{-5y}{-5}=\frac{-5}{-5}\\y=1\\Putting\ y=1\ in\ eqn\ 2\\x+1=-2\\Subtracting\ 1\ from\ both\ sides\\x+1-1=-2-1\\x=-3

Hence,

x=-3, y=1

Keywords: Linear equations, Variables

Learn more about linear equations at:

  • brainly.com/question/4034547
  • brainly.com/question/4054269

#LearnwithBrainly

3 0
4 years ago
The Sugar Sweet Company is going to transport its sugar to market. It will cost $3500 to rent trucks, and it will cost an additi
lora16 [44]

Using the y = mx + b formula

C = 225s + 3500

Then to transport 19 tons

C = 225(19) + 3500

C = 4275 + 3500

C = 7775

6 0
3 years ago
Read 2 more answers
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