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aalyn [17]
2 years ago
10

HELP!!! What’s the domain and range? PLS!!!!

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
7 0

Answer:

A) Vertex: (3,1) Maximum, Domain: all real numbers, Range: y is less than or equal to 1.

B) Vertex: (1,-5) Minimum, Domain: all real numbers, Range: y is greater than or equal to -5

C) Vertex: (0,1) Minimum, Domain: all real numbers, Range: y is greater than or equal to 1

D) Vertex: (4,0) Maximum, Domain: all real numbers, Range: y is less than or equal to 0.

E) Vertex: (4,1) Minimum, Domain: all real numbers, Range: y is greater than or equal to 1

F) Vertex: (-1,4) Maximum, Domain: all real numbers, Range: y is less than or equal to 4.

G) Vertex: (2,-4) Minimum, Domain: all real numbers, Range: y is greater than or equal to -4

H) Vertex: (-4,-3) Minimum, Domain: all real numbers, Range: y is greater than or equal to -3

I) Vertex: (2,3) Maximum, Domain: all real numbers, Range: y is less than or equal to 3.

Step-by-step explanation:

Sorry it took forever to type

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The world population is estimated to be 7.8 billion in 2020, and growing at an instantaneous rate of 1.05%. (a) Estimate the pop
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Answer:

Population in 2100 is 17.99 billion.

Step-by-step explanation:

The population of the world in 2020  = 7.8 billion.

The growth rate = 1.05%

Now find the population after 2100. Use the below formula to find the population.

Population in 2100 = Population of 2020 (1 + growth rate)^n

Population in 2100 = 7.8 (1 + 0.0105)^80

Population in 2100 = 17.99 billions.

Now, find the growth rate in 2100.

dN/dt = [r N (K – N) ] / K

r = Malthusian parameter

K = carrying capacity.

Now divide both sides by K, now x = N/K then do the differential equation.

dx/dt = r x ( 1- x)

Now integrate, x(t) = 1/ [ 1 + (1/x – 1) c^-rt

From the first equation = dN/dt = (13 – 7.8) / 80 = (r × 7.8×(13 – 7.8) / 12

0.065 = (r × 7.8× 5.2) / 12

0.065 = r × 3.38

r = 1.92%

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Answer:

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Step-by-step explanation:

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