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Charra [1.4K]
3 years ago
7

James works in a flower shop. he will put 36 tulips in vase for a wedding. he must use the same number of tulips in each vade. t

he number of tulips in each vase must be greater than 1 and less than 10. how many tulips could be in each vase ?
Mathematics
2 answers:
Debora [2.8K]3 years ago
8 0
There is more than one answer. The amount of tulips in each vase if there is more than one and less than 10 with a total of 36 will be of the following:
2 each in 18 vases
3 each in 12 vases
4 each in 9 vases
6 each in 6 vases
9 each in 4 vases
pshichka [43]3 years ago
7 0

Answer:

We have 36 tulips and a undefined number of vases, we want to put the same amount of tulips in each vase and the number of tulips in each vase must be greater than 1 and less than 10. To solve this, we have to find the divisors of 36 (i.e., the list of all integers that divide 36) which are greater than 1 and less than 10; these numbers are: 2, 3, 4, 6 and 9. These are the number of tulips per vase. The number of vases is the quotient between the total amount of tulips and the number of tulips per vase, that is:

tulips per vase    number of vases

2                           36/2 = 18

3                           36/3 = 12

4                           36/4 = 9

6                           36/6 = 6

9                           36/9 = 4

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Answer:

f(x)=x^{3}-3x^{2} +4x-2

Step-by-step explanation:

we know that

The <u><em>conjugate root theorem</em></u> states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a - bi is also a root of that polynomial

In this problem we have that

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(1-i) is also a root of the polynomial

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Remember that

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a=1

f(x)=(x-1)(x-(1+i))(x-(1-i))\\\\f(x)=(x-1)[x^{2} -(1-i)x-(1+i)x+(1-i^2)]\\\\f(x)=(x-1)[x^{2} -x+xi-x-xi+2]\\\\f(x)=(x-1)[x^{2} -2x+2]\\\\f(x)=x^{3}-2x^{2} +2x-x^{2} +2x-2\\\\f(x)=x^{3}-3x^{2} +4x-2

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Read 2 more answers
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