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HACTEHA [7]
3 years ago
11

briefly explain the process by which you would determine whether or not x-6 a factor of 3x^3-16x^2-72

Mathematics
2 answers:
MissTica3 years ago
5 0
Using the remainder theorem, substitute 6 in for any x in the equation and it will equal the remainder if it has been divided by (x-6). If the remainder is zero, then it would have divided evenly...making it a factor. If it equals anything but zero then it would not be a factor
storchak [24]3 years ago
3 0
X-6=0,x=6
put x=6 in the given eq. 3 x^{3} -16 x^{2} -72=3( 6^{3} )-16( 6^{2} )-72
=3(216)-16(36)-72

=648-576-72
=648-648
=0
hence x-6 is a factor of the given polynomial
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andreyandreev [35.5K]

Answer:

176.7cm^2

Step-by-step explanation:

Area of circle = π ×r^2

π×15^2

and then divide by 4 because it's one quarter of a circle

7 0
3 years ago
Alice wants to put wall-to-wall carpeting in a small room with the floor plan shown.
AURORKA [14]
I found the complete problem. 

If Alice divides it into two trapezoids, the area formula would be: A = [(a+b) / 2] * h 
Trapezoid 1
A = [(7.5 + 15)/2 * 5
A = (22.5/2) * 5 
A = 11.25 * 5 
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Trapezoid 2
A = [(5 + 10)/2 * 7.5
A = (15/2) * 7.5
A = 7.5 * 7.5 
A = 56.25 sq. ft

Total area = 56.25 + 56.25 = 112.50 sq. ft.

3 0
3 years ago
30 students in a class went on a trip to the other side of the city. There were 4 vans for the
torisob [31]

Answer:

6

Step-by-step explanation:

30-6=24

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3 0
2 years ago
1. Find the distance between two
BigorU [14]

Answer:

\mathrm{D)\:}9.4\: \mathrm{units}

Step-by-step explanation:

<u>Solution 1:</u>

Notice the x coordinate of both points are equal, meaning both points are on a vertical line. The distance between two points on a vertical line is the absolute difference of their y-coordinates. The absolute difference between 4.7 and -4.7 is |4.7-4.7|=\fbox{$9.4$}.

<u>Solution 2:</u>

The distance between two points (x_1,y_1) and (x_2,y_2) is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Plugging in given values, we have:

d=\sqrt{(-2.6-(-2.6))^2+(4.7-(-4.7))^2},\\d=\fbox{$9.4$}.

8 0
2 years ago
How many cubic centimeters of water can this paper cone cup hold?
RUDIKE [14]
By definition, the volume of a cone is given by:
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 Answer:
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V = 150.72 cm ^ 3
8 0
3 years ago
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