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1 answer:
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Answer: The state with the second lowest population has the lowest population density.
Step-by-step explanation:
Since, Density = Population / Area
The population of state A = 1,055,173
Its area = 2677 square km
Thus, the density of state A = = 394.162495,
The population of state B = 1,333,089
Its area = 36,418 square km
Thus, the density of state B = = 36.6052227,
The population of state C = 3,596,677
Its area = 5543 square km
Thus, the density of state C = = 648.868302,
The population of state D =6,745,408
Its area = 10555 square km
Thus, the density of state D = = 639.072288,
Since, by the above explanation,
The state in increasing order of the populations,
State A < State B < State C < State D,
Also, the state in increasing order of density,
State B < State A < State D < State C
⇒ Second option is correct.
Answer:
(1, -10)
Step-by-step explanation:
Only the y can be on the left hand side. The square has been completed so all you need do is transfer the 10 to the right and read the x,y values for the vertex.
I have provided a graph to show you that the vertex and my answer are the same (hopefully).
y + 10 = 4(x - 1)^2 Subtract 10 from both sides.
y + 10-10=4(x -1)^2 -10 Combine
y = 4(x - 1)^2 - 10
Now we need to make the square term = 0
x - 1 = 0 Add 1 to both sides
x - 1 + 1 = 0 +1 Combine
x = 1 When x = 1 the square term will equal 0.
The vertex should be (1, - 10)
