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zubka84 [21]
3 years ago
11

· A dead tree in the forest is decaying at a rate of 14% per year. If the tree weighs 1500 lbs

Mathematics
1 answer:
guapka [62]3 years ago
3 0
The exact answer would be 4.285714 years but if you rounded it would be 4.3 years
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The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
jarptica [38.1K]

Answer:

P(x)=-5x^3-40x^2-45x+90

Step-by-step explanation:

<u>Equation of a Polynomial</u>

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

P(x)=a(x-x1)(x-x2)(x-x3)

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

P(x)=a(x+6)(x+3)(x-1)

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

P(x)=-5(x+6)(x+3)(x-1)

We must write it in standard form, so we have to multiply all of the factors as follows:

P(x)=-5(x^2+6x+3x+18)(x-1)

P(x)=-5(x^2+9x+18)(x-1)

P(x)=-5(x^3-x^2+9x^2-9x+18x-18)

P(x)=-5(x^3+8x^2+9x-18)

\boxed{P(x)=-5x^3-40x^2-45x+90}

3 0
2 years ago
Question 4 (4 points
aalyn [17]

Answer:

It is True 200% legit!

Step-by-step explanation:

4 0
3 years ago
How to know how to do percent of change
IgorC [24]
Work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number then this is a percentage decrease.
4 0
3 years ago
a cyclist rides her bike at a speed of 2 meters per second. what is the speed in kilometers per hour? how many kilometers will t
zaharov [31]

1) 2m/s = 2*18/5 =7.2Km/h

2)In 3 hour, he would travel, 7.2*3 = 21.6Km.

7 0
3 years ago
Anyone know the answer
sergij07 [2.7K]
When y=3/x translated right 3 units , we get y = 3/(x-3).
Then we translate y = 3/(x-3) , 3 units up and get y = 3/(x-3) +3.
So the answer is B.
y=3/(x-3) + 3

3 0
3 years ago
Read 2 more answers
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