According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = 4x5 – 3x
1 root
2 roots
4 roots
5 roots

Answers

Answer 1

Answer:

Answer:

Option 4 is correct that is according to fundamental theroem of algebra the given polynomial function will have 5 roots

Step-by-step explanation:

The fundamental theorem of algebra says that the polynomial will have the number of roots equal to the degree of the polynomial.

Degree is the highest power of polynomial.

Here we have given the polynomial $4x^5-3x$ where degree is 5.

Hence, the given polynomial will have 5 roots.

Therefore, option 4 is correct that is 5 roots

Answer 2

Answer: Hello,

I say one more time in C there are 5 roots.
$4x^5-3x=x(4x^4-3)\n =x(2x^2+ √(3) )(2x^2- √(3) )\n =x( √(2)x- \sqrt[4]{3} ) ( √(2)x+ \sqrt[4]{3} ) ( √(2)x- i\sqrt[4]{3} ) ( √(2)x+i \sqrt[4]{3} )$

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Blank divided by 9 equals 6

Answers

54 divided by 9 equals 6.

well to get the answer do 9 x 6 which is 54 so your answer would be 54

A city has two water towers. One tower holds 4.37 x 106 gallons of water and the other holds 3.92 x 106 gallons of water. What is the combined water capacity of the two towers?17.13 x 1012 gallons
17.13 x 1012 gallons

1.11 x 100 gallons
1.11 x 100 gallons

8.29 x 106 gallons
8.29 x 106 gallons

.45 x 1012

Answers

Answer:

the answer is 1.713 x 106

Step-by-step explanation:

in an over-fished area, the catch of a certain type of fish is decreasing at an average rate of 8% per year. If this decline persists, how long will it take for the catch to reach half of the amount before the decline???

Answers

n = n0(1 - 0.08)^t
= n0(0.92)^t

Putting n = n0 / 2:
1 / 2 = 0.92^t
t = log(1 / 2) / log(0.92)
= 8.31 yr.

A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other lengths are in the ratio of 2 units : 3 units.

Answers

$a,b,c-\ sides\ of\ triangle\n\na+b+c=18\ inches\n\na=8inch\n\n(b)/(c)=(2)/(3)\n\n3b=2c\ \ --->b=(2c)/(3)\n\n8+(2c)/(3)+c=18\ |*3\n\n24+2c+3c=54\n\n5c=54-24\n\n5c=30\n\nc=(30)/(5)=6\n\nLength\ of\ shorter\ side\ is\ equal\ to\ 6\ inches.$

A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4500. Write and solve an absolute value inequality to determine the range of salaries at this company.|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.

|x − 37500| ≥ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.

Answers

In this problem, the mean salary is equal to $37,500 while the maximum salary is $4500 more than the mean and the mnimum salary is $4500 less than the mean salary. This means the equation that represents the salaries is |x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

Answer:

its A

Step-by-step explanation:

Find the surface area of the two following figures. Show all your work.