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Salsk061 [2.6K]
3 years ago
6

Show why x−3 is a factor of m(x)=x3−x2−5x−3. Justify your answer. You can show this using remainder theorem, long division, synt

hetic division or any method you choose.
Mathematics
1 answer:
Marat540 [252]3 years ago
7 0

The factors of a polynomial function are the zeros of the function

It is true that x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3

<h3>How to show why the x - 3 is a factor</h3>

The function is given as:

m(x) = x^3 - x^2 - 5x - 3

The factor is given as:

x - 3

Set the factor to 0

x - 3 = 0

Solve for x

x = 3

Substitute 3 for x in the function

m(3) = 3^3 - 3^2 - 5(3) - 3

Evaluate

m(3) =0

Since the value of m(3) is 0, then x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3

Read more about factors at:

brainly.com/question/11579257

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A large plastic bucket is in the shape of a right, circular cylinder with dimensions shown below. If there are volume of this cy
pochemuha

The volume of the cylinder is between 5 and 6 gallons.

<h3>What is the volume of the cylinder?</h3>

A cylinder is a three-dimensional shape that is made up of a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

  • h = height
  • n = 22/7
  • r = radius

22/7 x 28 x (15^2) = 19,800 cubic centimeters

First convert the volume to liters = 19,800 / 1000 = 19.8

Now convert to gallons =  19.8 / 3.785 = 5.23 gallons

Please find attached the complete question. To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219

5 0
2 years ago
PLEASE HELP!!!
natali 33 [55]

Answer:

b

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

7 0
3 years ago
Christina earns $250 a week. To budget money, she pays $135 in bills each week. How much money does Christina have left at the e
Rama09 [41]

Answer:

460 USD

Step-by-step explanation:

monthly earnings = 250 x 4 = 1000

monthly bills = 135 x 4 = 540

end of month = 1000 - 540 = 460 USD

7 0
3 years ago
Evaluate the expression.<br> I-4|<br><br><br> PLEASE HELP BAHIAJSUEKSJN
IRISSAK [1]

Answer:

the answer is 4

Step-by-step explanation:

the answer will be positive

6 0
3 years ago
How do you answer this??
dezoksy [38]
<h3>Given</h3>
  • a rectangle x units wide and y units high divided into unit squares
<h3>Find</h3>
  • The total perimeter of the unit squares, counting each line segment once
<h3>Solution</h3>

For each of the y rows of squares, there are x segments at the top, plus another x segments at the bottom. The total number of horizontal segments is then

... horizontal segment count = (y +1)x

Likewise, for each of the x columns of squares, there are y segments to the left, plus another y segments to the right of the entire area. Then the total number of vertical segments is

... vertical segment count = (x+1)y

The total segment count is ...

... total segments = horizontal segments + vertical segments

.. = (y+1)x +(x+1)y

... total segments = 2xy +x +y

_____

<u>Check</u>

We know a square (1×1) has 4 segments surrounding it.

... count = 2·1·1 +1 +1 = 4 . . . . (correct)

We know the 3×3 window in the problem statement has 24 segments.

... count = 2·3·3 +3 +3 = 18 +3 + 3 = 24 . . . . (correct)

We know a 1×3 row of panes will have 10 frame elements.

... count = 2·1·3 +1 +3 = 6 +1 +3 = 10

It looks like our formula works well.

5 0
3 years ago
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