A small town's population, P, can be modeled by the equation P (t) = 45,000(2.66), where t is the time in years. Is the statemen
1 answer:
A function assigns the values. The statement "The rate of population growth each year is 166%" is true.
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
Given the function of the population for the town is , where t is the time in years. Comparing the given function to the general function of the population,
P(x) = a(1+b)ˣ
Then, the value of b will be 166%.
Hence, the statement "The rate of population growth each year is 166%" is true.
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Answer:
slope = -
Step-by-step explanation:
given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are
(4, 6 ) and (- 2, 8 )
calculate slope m using the slope formula
m =
with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )
m = =
= -
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the Taylor series expansion about 0 as
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Answer:
(x, y) = (1, ±2)
Step-by-step explanation:
To solve this pair of equations, one can add the second equation to twice the first:
2(2x +y^2) +(3x -2y^2) = 2(6) +(-5)
4x +3x = 12 -5 . . . . simplify a bit
7x = 7 . . . . . . . . . . . collect terms
x = 1 . . . . . . . . . . . . divide by 7
Then y can be found from the first equation:
y^2 = 6 -2x = 6 -2(1) = 4
y = ±√4 = ±2
The solutions are ...
(x, y) = (1, -2) or (1, 2)
