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3 years ago

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

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

3 years ago

Help :( ima link it........

suter [353]

Answer:

Step-by-step explanation:

he is DIVIDING it among his children so the equation will have division

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