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kolezko [41]
3 years ago
11

X^3-6x^2 11x-6=0 a. 1,-5,4 1/3 b. 1,5,4 1/3 c. 0,-5,-4 1/3 d. 0,5,-4 1/3

Mathematics
1 answer:
Ksju [112]3 years ago
4 0
X^3 - 6x^2 + 11x - 6 = 0
f(1) = 1^3 - 6(1)^2 + 11(1) - 6 = 1 - 6 + 11 - 6 = 0
This means that x - 1 is a factor of x^3 - 6x^2 + 11x - 6 = 0

                     x^2 - 5x + 6
                ___________________
x - 1        |     x^3 - 6x^2 + 11x - 6
             - |     x^3 - x^2
               |______________     
               |          -5x^2 + 11x - 6  
             - |          -5x^2 + 5x
               |_____________________
               |                        6x - 6
             - |                        6x - 6

x^3 - 6x^2 + 11x - 6 = (x - 1)(x^2 - 5x + 6) = (x - 1)(x - 2)(x - 3)
Therefore, solutions to x^3 - 6x^2 + 11x - 6 are 1, 2 and 3.
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A cylindrical pressure has a height of 9 feet and diameter of 6 feet. How much gas can the pressure vessel hold when full?
AleksAgata [21]

Answer:

81π ft³

Step-by-step explanation:

If the diameter is 6 ft, the radius is 3 ft.  

The volume is V = (area of base)(height).

Here,                V = (π[3 ft]²)(9 ft) = 81π ft³

3 0
3 years ago
Read 2 more answers
Find the value.<br> 9x+6 when x=-2/3
OLEGan [10]

Answer:

<h2>0</h2>

Step-by-step explanation:

Given,

-  \frac{2}{3}

Now, let's find the value of 9x + 6

9x + 6

plug the value of X

= 9 \times  (-  \frac{2}{3} ) + 6

Multiplying a positive and negative equals a negative

( + ) \times ( - ) = ( - )

=  - 9 \times  \frac{2}{3}  + 6

Reduce the number with Greatest Common Factor 3

=  - 3 \times 2 + 6

Multiply the numbers

=  - 6 + 6

The sum of two opposites equals 0

= 0

Hope this helps..

best regards!!

7 0
3 years ago
How many centimeters are in 5 inches? 1in. = 2.54 cm<br><br> 5 in. = ?
Aleks [24]
It is very simple the answer is 12.7 cm
You can simply multiply 5 with 2.54 to get the answer
Hope it helps : )
6 0
3 years ago
THe halloween haunt estimated they would make $125,450 this year. They expect to make 23,700 more than last year by the time the
sveticcg [70]

Answer:

it is at least $300000 good luck

7 0
3 years ago
Hi, I am taking PSAT and I am working on the math section. I need help with answering this math type of question. Please give th
ValentinkaMS [17]

By using the concept of uniform rectilinear motion, the distance surplus of the average race car is equal to 3 / 4 miles. (Right choice: A)

<h3>How many more distance does the average race car travels than the average consumer car?</h3>

In accordance with the statement, both the average consumer car and the average race car travel at constant speed (v), in miles per hour. The distance traveled by the vehicle (s), in miles, is equal to the product of the speed and time (t), in hours. The distance surplus (s'), in miles, done by the average race car is determined by the following expression:

s' = (v' - v) · t

Where:

  • v' - Speed of the average race car, in miles per hour.
  • v - Speed of the average consumer car, in miles per hour.
  • t - Time, in hours.

Please notice that a hour equal 3600 seconds. If we know that v' = 210 mi / h, v = 120 mi / h and t = 30 / 3600 h, then the distance surplus of the average race car is:

s' = (210 - 120) · (30 / 3600)

s' = 3 / 4 mi

The distance surplus of the average race car is equal to 3 / 4 miles.

To learn more on uniform rectilinear motion: brainly.com/question/10153269

#SPJ1

4 0
1 year ago
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