Answer:
The vertical asymptotes are at x = 2 and x = -2.
The horizontal asymptote is located at y = 3.
Step-by-step explanation:
Given the function
Transform it into the following:
This function is not defined when the denominator equals zero. This occurs when x = 2 or x = -2, resulting in two vertical asymptotes located at x = 2 and x = -2.
<pThe horizontal asymptote is determined to be y = 3.
Answer:
a. 80 students
b. 92 students
Step-by-step explanation:
Designate arts students as A and dance students as D.
Thus, we have,[['[TAG_14]]
n(A) = 35
n(D) = 57
Required
To determine n(A or D)
For (a):
We find that:
n(A and D) = 12
The calculation for n(A or D) is as follows:
n(A or D) = n(A) + n(D) - n(A and D)
n(A or D) = 35 + 57 - 12
n(A or D) = 80
b. Given the details
n(A and D) = 0 since no students are enrolled in both classes as indicated in (a)
Using the same formula as in (a).
n(A or D) = n(A) + n(D) - n(A and D)
n(A or D) = 35 + 57 - 0
n(A or D) = 92
Response: a) 
b) The area has grown by 0.75 square meters.
Detailed breakdown:
Let the room's length be l
Let the room's breadth be 'b'
The area of a rectangle is calculated using the formula:
Per the problem, the room's new area equals 175% of its old area.
Thus, a) The new area of the room is determined as
This indicates a 175% increase in the room's length, resulting in a 175% increase in area.
b) The increase in square meters for Megan's room area is
There are 0.015 kilograms in 15 grams. Since each can weighs 0.015 kg and the payment rate is 50p per kilogram, 0.015 multiplied by 66 amounts to 1 kilogram! Therefore, 66 cans are needed to generate one kilogram. As a result, earning £15 would mean that with 2 kg equating to one dollar, then 15 multiplied by 2 equals 30. Consequently, 66 times 30 gives 1980!
66 relates to each kilogram, and 30 indicates how many 50p are required for one dollar!
Thus, to obtain £15, Adam has to recycle a total of 1980 cans!
