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.

0

24.06.2023, solved by verified expert

One possible polynomial is given by:

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots such that it can be written as: , in which a is the leading coefficient.

Single root at 0, double root at 3:

This means that:

Decreases as x approaches infinity.

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

### Faq

Mathematics

One possible polynomial is given by:

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots such that it can be written as: , in which a is the leading coefficient.

Single root at 0, double root at 3:

This means that:

Decreases as x approaches infinity.

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

Mathematics
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

The answer is in the image

Mathematics

The total nom of  code that can be used is equal to 5+3 = 8

Mathematics

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Mathematics

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

Here,

tip=18%of \$32

tip=(18/100)*32

=0.18*32

=\$5.76

Total payment=32+5.76=\$37.76

Mathematics

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

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

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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