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zhannawk [14.2K]
2 years ago
8

Which line is the graph of y= 1/2 x + 1?

Mathematics
2 answers:
Zigmanuir [339]2 years ago
8 0
Line b because line b crosses the point 0,1 on the y axis
tiny-mole [99]2 years ago
6 0
Its line b because it crosses the mark
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Please help
Zolol [24]

Given:

The function is

r(x)=0.05(x^2+1)(x-6)

where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

To find:

Number of complex and real zeros.

Time intervals for which the population increased and population deceased.

Solution:

We have,

r(x)=0.05(x^2+1)(x-6)

r(x)=0.05(x^3+x-6x^2-6)

Here, degree of function x is 3. It means, the given function has 3 zeros.

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Therefore, function r has 2 complex zeros and one real zero.

Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.

Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.

Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.

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