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alexandr402 [8]
3 years ago
15

Factor completely 3x^4 - 30x^3 + 75x^2

Mathematics
1 answer:
rosijanka [135]3 years ago
7 0

Answer:

The answer to your question is:    3x² (x - 5) ²      

Step-by-step explanation:

Factor like terms                       3x⁴ - 30x³ + 75x²

                                                  3x² ( x² - 10x + 25)

Factor ( x² - 10x + 25)  = ( x - 5) (x - 5)  = (x - 5) ²

Finally                                        3x² (x - 5) ²              

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erastova [34]
Can you help I have tried 4 times

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3 years ago
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Which best describes the graphs of the line that passes through (−12, 15) and (4, −5), and the line that passes through (−8, −9)
konstantin123 [22]

Answer:

C) They are perpendicular lines.

Step-by-step explanation:

We first need to find the slope of the graph of the lines passing through these points using:

m =  \frac{y_2-y_1}{x_2-x_1}

The slope of the line that passes through (−12, 15) and (4, −5) is

m_{1} =  \frac{ - 5 - 15}{4 -  - 12}

m_{1} =  \frac{ - 20}{16}  =  -  \frac{5}{4}

The slope of the line going through (−8, −9) and (16, 21) is

m_{2} =  \frac{21 -  - 9}{16 -  - 8}

m_{2} =  \frac{21  + 9}{16  + 8}

m_{2} =  \frac{30}{24}  =  \frac{5}{4}

The product of the two slopes is

m_{1} \times m_{2} =  -  \frac{4}{5}  \times  \frac{5}{4}  =  - 1

Since

m_{1} \times m_{2} =  - 1

the two lines are perpendicular.

4 0
3 years ago
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I need working out and answers for the following:
LenaWriter [7]
A. 4x - 3 = 2x + 7
4x - 2x = 7 + 3
2x = 10
x = 5

B. 2x + 6 = 7x - 14
2x - 7x = - 14 - 6
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x = 4

C. 2( x + 3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
x = -10

D.4 ( 5x - 2) = 2( 9x + 3)
20x - 8 = 18x + 6
20x - 18x = 6 + 8
2x = 14
x = 7

E.4x - 1/2 = x - 7
4x - x = -7 + 1/2
3x = (-14 + 1)/2
3x = -13/2
x = -13/6

F. 3x + 2 = 2x + 13/3
3x - 2x = 13/3 - 2
x = (13 - 6)/3
x = 7/3


Hope This Helps You!
4 0
3 years ago
How many kilograms of tin will be required to make 250 kg of an alloy, if the alloy must contain 81% copper, 14% tin and 5% lead
uysha [10]

Answer:

35

Step-by-step explanation:

all are obeying a constant ratio

  • copper 81
  • tin 14⇒?
  • lead 5
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3 years ago
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PLEASE HELP!<br> What is m&lt;3???
Ganezh [65]

Answer:

105°

Step-by-step explanation:

180 minus 75 from angle 6 would give you angle 3.

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