Given:
The function is

To find:
The asymptotes and zero of the function.
Solution:
We have,

For zeroes, f(x)=0.



Therefore, zero of the function is 0.
For vertical asymptote equate the denominator of the function equal to 0.


Taking square root on both sides, we get


So, vertical asymptotes are x=-4 and x=4.
Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0.
Answer: the total cost of the nightstand is $22
Step-by-step explanation:
The original price of the night stand is $50. If the original price of the night stand was marked down by 60%, it means that the amount of money by which it was reduced would be
60/100 × 50 = 0.6 × 50 = 30
The new selling price would be
50 - 30 = $20
If she paid 10% sales tax,the amount of tax paid would be
10/100 × 20 = 0.1 × 20 = 2
Therefore, the total cost of the nightstand would be
20 + 2 = $22
Answer:
Nearest cent- $1.43
Step-by-step explanation:
14.25x0.10=1.425
Answer:
2,973
Step-by-step explanation:
The black bear population B(t), in the park is modeled by the following function:

Where t is the time(in years) elapsed since the beginning of the study.
We want to determine the black bear population in 25 years time, t=25.

There will be 2,973 black bears in 25 years time.
Answer:
Step-by-step explanation:
Area of the entire rectangle = height * width
= 4w³ *( 5w²-3w-4)
= 4w³ * 5w²- 4w³ *3w - 4w³ *4
=20w⁵ - 12w⁴ - 16w³