Use the discriminant to determine the number of real solutions to the quadratic equation.
1 answer:
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Answer:
1600. This is a maximum limit of fish the pond can host.
Step-by-step explanation:
For , we must take the part of this function valid for high values, i.e., the second part, where
.
Since we have two polynoms both in numerator and denominator, and both of them are of degree 1 (both linear), for high values of , the main part of each polynom shall be the linear part, neglecting lower degree parts (in this case, constant terms):
This means that the number of fish in a pond has an <em>horizontal asymthote</em>. In other words, there seems to be a natural limit for the number of fish that there will be in the pond as years pass. The maximum number of fish is actually 1600. With this function, no higher than this figure can be reached. This might imply <em>limits in productivity</em>.
Answer:
0.363
Step-by-step explanation:
Number of Black(B) Socks =5
Number of Grey(G) Socks =7
Number of White(W) Socks =13
Total Number of Socks=5+7+13=25
If the two socks are picked one after the other, the total number reduces and the number of that particular color of socks picked also reduces.
To pick the same color, they could either be both black, grey of white.
Therefore:
P(they are of the same color)=P(BB)+P(GG)+P(WW)
The probability that they are of the same color is 0.363 correct to 3 significant figures.