What is the solution of the ineuality 1/2x+1/4 > 3/2x+3/4 ?
1 answer:
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Answer: The answer is (A) [0,100].
Step-by-step explanation: Given in the question that a marine biologist Kelsey determined that the population of Blue Whales off the coast of Antarctica varies with time as shown in the given graph.
The population of Blue Whales (y) is plotted on the Y-axis and the time in months (x) is plotted on the X-axis.
We need to find the range of the population of Blue Whales off the coast of Antarctica from 0 to 10 months.
We can see from the attached graph that
when x = 0, then y = 0,
when x = 10, then y = 100.
That is, when time varies between 0 to 10 months, then the population of Blue Whales varies between 0 and 100.
Thus, the correct option is (A) [0,100].
Answer:
Step-by-step explanation:
The equation of the line through the point &
can be represented by:
Making m the subject;
∴
we need to carry out the equation of the line through (0,1) and (1,2)
i.e
y - 1 = m(x - 0)
y - 1 = mx
where;
m = 1
Thus;
y - 1 = (1)x
y - 1 = x ---- (1)
The equation of the line through (1,2) & (4,1) is:
y -2 = m (x - 1)
where;
∴
-3(y-2) = x - 1
-3y + 6 = x - 1
x = -3y + 7
Thus: for equation of two lines
x = y - 1
x = -3y + 7
i.e.
y - 1 = -3y + 7
y + 3y = 1 + 7
4y = 8
y = 2
Now, y ranges from 1 → 2 & x ranges from y - 1 to -3y + 7
∴