Answer:
As 
Step-by-step explanation:
Given:
From the graph, we can conclude that:
The function has vertical asymptotes at 
The function has horizontal asymptote at 
Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.
Now, as 
means the right hand limit of the function at 
From the graph, the right hand limit is the right side of the asymptote of the function at 
. The right side shows that the function is tending towards negative infinity.
Therefore, As
Answer:
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:
Simplifying:
Solving for 1+r:
![1+r=\sqrt[20]{2}](https://tex.z-dn.net/?f=1%2Br%3D%5Csqrt%5B20%5D%7B2%7D)
The exponential function that models the situation is:
<u>Given</u>:
Given that the parallelogram with the lengths 5x, 3x + 1, 2y - 5 and y.
We need to determine the values of x and y.
<u>Values of x and y:</u>
We know the property that the opposite sides of a parallelogram are congruent.
Thus, we have;
------- (1)
------- (2)
The value of x and y can be determined using the substitution method.
Substituting equation (2) in equation (1), we have;
Thus, the value of x is 3.
Substituting x = 3 in equation (2), we have;
Thus, the value of y is 10.
