Answer:
The answer to your question is 2184
Step-by-step explanation:
Data
Equation P(x) = 0.68x² - 0.048x + 1
x = years
population = 33984
Process
1.- Substitute the population in the equation
33984 = 0.84x² - 0.048x + 1
2.- Equal to zero
0.84x² - 0.048x + 1 - 33984 = 0
3.- Simplify
0.84x² - 0.048x - 33983 = 0
4.- Solve for x
x1 = 201.2
x2 = -201.2
Only x1 is correct because time can not be negative
5.- Calculate the year
Year = 1997 + 201
Year = 2184
Answer:
All three operations lead to polynomials.
See explanations below.
Step-by-step explanation:
Polynomial a = 
Polynomial b = 
Therefore:
a + b = 
where we have combined all like terms. This is clearly another polynomial (of grade 2)
a - b (here we need to flip all signs inside the parenthesis when we remove this grouping symbol):
which is clearly another polynomial (but of grade 3)
a * b : (here we use distributive property to multiply each term of the first polynomial by each term of the second one, and then combine like terms)
which is indeed another polynomial (this time of grade 6)
Answer:
Step-by-step explanation:
a) We would use the formula for exponential growth model which is expressed as
y = b(1 + r)^t
Where
y represents the population after t years.
t represents the number of years.
b represents the initial population.
r represents rate of growth.
From the information given,
b = 5655
r = 1.4% = 1.4/100 = 0.014
Therefore, the equation would be
y = 5655(1 + 0.014)^t
y = 5655(1.014)^t
b) in 2022, t = 2022 - 2010 = 12 years
y = 5655(1.014)^12
y = 6682
Answer:
25
Step-by-step explanation:
The longest side is 12.
The two other sides of the triangle=
=(9+36)square rooted=45 square rooted is about 6.7.
6.7*2=13.4
13.4+12=25.4
25.4 rounded to the nearest unit is 25.
Hiya!
First, translate vertex A to vertex X. Next, rotate angle ABC to align the sides and angles.
How I got this? Simple! Notice how both shapes are the exact same, down to the exact measurements. Now, imagine a four-quadrant grid with (0, 0) is between point C and Y. ABC is in the top left quadrant and XYZ is in the lower right. If you rotated the whole thing, they'd overlap. Vertex A is actually vertex X, theoretically.
If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer, if other people did not provide a helpful answer (but, I'm sure they did!). I want to be able to assist more users one-on-one! :)
