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Natasha2012 [34]
3 years ago
9

What is the multiplicity of the root 2 in the equation x^3-8x^2+20x-16=0?

Mathematics
1 answer:
mote1985 [20]3 years ago
8 0
Factoring the cubic you get: <span>(x - 2)^2 (x-4) , so we know the multiplicity is the amount of times a root shows in an equation because the equation (x-2) has a exponent of 2 that means the root 2 has a multiplicity of 2.</span>
Answer: 2
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Select the correct answer.
Afina-wow [57]

Answer:

d)\ \frac{81}{m^{7}}

Step-by-step explanation:

(3m^-4)^3(3m^5)

First, simplify (3m^{-4})^3:

(3m^{-4})^3\\\\3^3*m^{-4*3}\\\\27m^{-12}

27m^{-12}*3m^5\\\\27*3 *m^{-12+5}\\\\81m^{-7}\\\\81*\frac{1}{m^{7}} \\\\\frac{81}{m^{7}}

Hope this helps!

5 0
2 years ago
At George Washington High School the ratio of graduating seniors that go on to college, as compared to those who do not, is 7 :
wariber [46]
The solution to the problem is as follows:

<span>7(4)/4(4) = 28/16
 
28+16= 44
</span>
Therefore, the size of the graduating class would be 44 students in all.

I hope my answer has come to your help. God bless and have a nice day ahead!
7 0
3 years ago
Find the radius of a circle having area 616cm square.​
OLEGan [10]

Answer:

\boxed{\sf Radius \ of \ circle = 14 \ cm}

Given:

Area of circle = 616 cm²

To Find:

Radius of circle

Step-by-step explanation:

\sf \implies Area \ of \ circle = \pi r^{2}  \\  \\  \sf \implies 616 =  \frac{22}{7}  \times  {r}^{2}  \\  \\  \sf \implies 616 \times  \frac{7}{22}  =  {r}^{2}  \\  \\  \sf \implies 28 \times  \cancel{22} \times  \frac{7} { \cancel{22}}  =  {r}^{2}  \\  \\  \sf \implies 28 \times 7 =  {r}^{2}  \\  \\  \sf \implies 196 =  {r}^{2}  \\  \\  \sf \implies  {r}^{2}  = 196 \\  \\  \sf \implies r =  \sqrt{196}  \\  \\  \sf \implies r =  \sqrt{ {14}^{2} }  \\  \\  \sf \implies r = 14 \: cm

4 0
2 years ago
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suter [353]

Answer:

d

Step-by-step explanation:

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8 0
2 years ago
Suppose a square garden hose represented by 16x^2 ft^2. what is the length of each side?
Triss [41]

Answer:

4ft

Step-by-step explanation:

As we know area of a square is side*side

side*side = 16^2

side=√16ft^2

side=4ft

7 0
3 years ago
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