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sergejj [24]
3 years ago
8

Form a polynomial with zeros:−2 multiplicity 3; 1 multiplicity 2; 3 multiplicity 1;degree 6 You may leave your answer in factore

d form.
Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0

Answer:

f(x) = (x+2) (x+2)^3 (x-1) (x-6)

Step-by-step explanation:

The first zero, -2, corresponds to the factor x+2 of the polynomial.

Given that this zero, -2, has multiplicity 3, (x+2)^3 represent the first three factors of the polynomial.

The next factor stems from the zero 1:  (x-1).

The next 6 factors stem from the zero 6:  (x-6).

Writing the polynomial in factored form, we get:

f(x) = (x+2) (x+2)^3 (x-1) (x-6)

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In how many ways can a quality-control engineer select a sample of3 transistors for testing frm a batch of 100 transistors?
Advocard [28]

Answer:

161700 ways.

Step-by-step explanation:

The order in which the transistors are chosen is not important. This means that we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

3 transistors from a set of 100. So

C_{100,3} = \frac{100!}{3!(100-3)!} = 161700

So 161700 ways.

6 0
3 years ago
What is the surface area of a rectangular prism?<br><br>length : 3<br>width : 3<br>height = 5
elixir [45]
Since it is a rectangular prism, the front and back are the same. the sides are the same and the top and bottom are the same. You would find the area of the front and back first. Since they both have the same measurements, you can find the area of one of the faces and multiply by 2.
A=BH
A= 3x5
A=15
15x2=30
So the front and back's area is 30. Now you find the area of both sides. They are both rectangle so the formula is A=BH.
A=BH
A=3x5
A=15
15x2=30
Now you find the area of the top and bottom. It is also a rectangle so you will use the same formula.
A=BH
A=3x3
A=9
9x2=18
Finally, you add all these measurements together adn that is the surface area. 
This surface area of this rectangle prism is 78.
4 0
3 years ago
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm.
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Answer:

38cm3

Step-by-step explanation:

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Answer: lol wut

Step-by-step explanation:

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