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kolezko [41]
4 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]4 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 factory can make 300 dozen doughnuts an hour. What is the unit rate in doughnuts per minute?
fomenos

Answer:

60 doughnut per mintute

Step-by-step explanation:

7 0
3 years ago
In the diagram of angle ABD shown, Point C is located on BD such that AB is congruent to AC and AC is congruent to CD. If M
Leto [7]

Answer

Option B is correct.

Angle ABC = 68°

Explanation

To answer this question, we need to first note that when a triangle has two sides that are equal in length (isoscelles triangle), the base angles of those two sides are often equal to each other.

We also need to note that the sum of angles in a triangle = 180°

And the sum of angles on a straight line = 180°

AB = AC

This means that

Angle ABC = Angle BCA

AC = CD

This means that

Angle CAD = Angle ADC

We are given that Angle ADC = 34°

Angle CAD = Angle ADC = 34° (Base angles of an isoscelles triangle are equal)

So, we can then find the third angle of triangle ACD

Angle ACD + Angle CAD + Angle ADC = 180° (Sum of angles in a triangle)

Angle ACD + 34° + 34° = 180°

Angle ACD + 68° = 180°

Angle ACD = 180° - 68° = 112°

Angle BCA + Angle ACD = 180° (Sum of angles on a straight line)

Angle BCA + 112° = 180°

Angle BCA = 180° - 112°

Angle BCA = 68°

Then, we can easily recall that

Angle ABC = Angle BCA (Base angles of an isoscelles triangle are equal)

Angle ABC = Angle BCA = 68°

Hope this Helps!!!

8 0
1 year ago
plz give me correct answer and no spammng,alphabets,links,website,sorry,i don't know,have a great day,plz appreciate my work the
kramer

Answer:

1. (7/8) 2. (4/5)

Step-by-step explanation:

brainly.com/question/15513807 (1st question)

A torch and a battery cost 2.50 altogether. The torch costs 1.50 more than the battery.

Torch (t) = b+1.50

Torch (t) + Battery (b) = 2.50

t+b=2.50

b+1.50+b=2.50

2b=1

b=.5

Battery costs .50 and torch costs 1.50 more = 2.00

Battery = .50

Torch = 2.00

.50 + 2.00 = 2.50 = true

Total price is 2.50- torch price is 2

200/250- divide both by 50=

200/50  /   250/ 50=

4/5

5 0
3 years ago
Will mark brainliest
Anni [7]

Answer:

1.

Anya could find out her volume by multiplying 1.5*1.5*4 and then subracting that from 11*8.5.

Terrence could find out his volume by multiplying 3*3*4 and then subtracting that from 11*8.5

Anya's suggestion would maker a larger volume.

There can be 2 different volumes because someone might cut out more than the other person.

2.

I think there's something missing from this question.

6 0
4 years ago
Read 2 more answers
The stem-and-leaf plot shows the points scored by Jason in nine basketball games.
Pepsi [2]

Considering the given stem-and-leaf plot, the outlier is given by:

A - 40

<h3>What is an stem-and-leaf plot?</h3>

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

Outliers are usually the lowest or the highest value in the data-set. In this problem:

  • The lowest value is 10, but the second lowest is 12, which is close to 10.
  • The highest value is 40, but the second lowest is 34, which is farther to 40 than 12 is to 10, hence 40 is an outlier.

More can be learned about stem-and-leaf plots at brainly.com/question/27683035

#SPJ1

7 0
2 years ago
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