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2 years ago

G(x) equals what? PLEASE HELP ME!!!

Mathematics

2 answers:

Nonamiya [84]2 years ago

8 0

G(x) is an absolute value function. The standard form for an absolute value function is f(x) = |x|.

The slope of this is equal to -6/-4 or 3/2.

It is flipped over the x-axis, so it will have a negative value out front.

g(x) = -3/2|x| is the equation for this graph.

9966 [12]2 years ago

8 0

Hello:
if : x ≥ 0 g(x) = ax and : g(0)=0 g(2)=-3
-3 =a(2) ..... a= - 3/2
if : x ≤ 0 g(x) = ax and : g(0)=0 g(-2)=-3
-3 =a(-2) ..... a= 3/2
conclusion :
g(x) = (-3/2)x if : x ≥ 0
g(x) = (3/2)x if : x ≤ 0
so : g(x) = -3/2|x|

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Step-by-step explanation:

The logistic equation is the following one:

$P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}$

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.

In this problem, we have that:

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that $P(0) = 80, K = 2000$ .