Answer:
None of the above.
Step-by-step explanation:
All of these are functions. For each input of x, there is only one output of y. Therefore, they are all functions.
The asymptote is
Domain is
Range is
Explanation:
Given that the function is
<u>Asymptote:</u>
The function has no horizontal asymptote.
The given function is of the form, has a vertical asymptote
where
Thus, the vertical asymptote is
<u>Domain:</u>
The domain of the function is the set of all independent x - values for which the function is real and well defined.
Let us find the positive values for log
Thus, we have,
Thus, the function domain in interval notation is
<u>Range:</u>
The range of the function is the set of all dependent y - values of the function.
Hence, the range of the function is
Answer: There are 33 dimes and 17 quarters in my pocket.
Step-by-step explanation:
Step 1: To assign and label the variables.
Suppose,
The number of dimes= x
The number of quarters= y
Step 2: To write the system of equations.
Equation related to the total coins:
x + y = 50 equation 1
Equation related to the total value of the coins:
0.10x + 0.25y = 9.95 equation 2
Step 3: To solve the system of equations.
Multiply equation 1 by 0.10 and then subtract it from equation 2 to eliminate the variable, x.
0.10x + 0.25y – (0.10x + 0.10y)= 9.95 – 5
0.15y = 4.95
y= 33
So, x=50 - 33= 17
Step 4: Therefore, there are 33 dimes and 17 quarters in my pocket.
3y is the supplement of 141 so that means 3y+140=180 so y is 13.33. Since they give you 68, 68+13.33+x=180. So 81.33+x=180 and x=98.66.