12.03.2020

10. Write a polynomial in factored form with a single root at 0 and a double root at 3 that decreases as x approaches infinity.

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24.06.2023, solved by verified expert
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One possible polynomial is given by: 10. Write a polynomial in factored form with, №17887551, 12.03.2020 03:20

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots 10. Write a polynomial in factored form with, №17887551, 12.03.2020 03:20 such that it can be written as: 10. Write a polynomial in factored form with, №17887551, 12.03.2020 03:20, in which a is the leading coefficient.

Single root at 0, double root at 3:

This means that:

10. Write a polynomial in factored form with, №17887551, 12.03.2020 03:20

Decreases as x approaches infinity.

This means that the leading coefficient should be negative. I am going to use -1. So

10. Write a polynomial in factored form with, №17887551, 12.03.2020 03:20

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Mathematics
Step-by-step answer
P Answered by PhD

One possible polynomial is given by: f(x) = -x(x-3)^2

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} such that it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

Single root at 0, double root at 3:

This means that:

f(x) = a(x - 0)(x - 3)(x - 3) = ax(x-3)^2

Decreases as x approaches infinity.

This means that the leading coefficient should be negative. I am going to use -1. So

f(x) = -x(x-3)^2

Mathematics
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P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
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P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
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P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

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