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
Step-by-step answer
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
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

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

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

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

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