WRITE ALL OF THE NUMBERS THAT ROUND TO 50?
2 answers:
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Answer:
look below
Step-by-step explanation:
y = 2 (x + 3)^2 - 2
Geometric figure: parabola
Alternate forms:
y = 2 (x + 2) (x + 4)
y = 2 (x^2 + 6 x + 8)
-2 x^2 - 12 x + y - 16 = 0
Expanded form:
y = 2 x^2 + 12 x + 16
Roots:
x = -4
x = -2
<u>Properties as a real function: </u>
Domain - R (all real numbers)
Range - {y element R : y>=-2}
Partial derivatives:
d/dx(2 (x + 3)^2 - 2) = 4 (x + 3)
d/dy(2 (x + 3)^2 - 2) = 0
Implicit derivatives:
(dx(y))/(dy) = 1/(12 + 4 x)
(dy(x))/(dx) = 4 (3 + x)
Global minimum:
min{2 (x + 3)^2 - 2} = -2 at x = -3
Answer:
Expected population in 2015: 19,152.58 or 19,000 people
Step-by-step explanation:
Given the decreasing rate of 2.5% per year, and a population of 28,000 in the year 2000:
We can solve for the rate of decrease by using the formula:
where:
A = population by year 2015
a = initial population (in year 2000) = 28,000
r = rate of change (decrease by 2.5% annually or 0.025)
t = time (in number of years) = 15
Plug in these given values into the formula:
A = 28,000(0.684)
A = 19,152.58 or about 19,000 people in 2015