Average = mean = sum of the values / number of data
Values = h, j, and k
Number of data = 3
Sum of the values = h + j + k
Mean = [h + j + k] / 3
=> Answer: option c. [h+j+k] over 3
Answer:
2 1/14
Step-by-step explanation:
First, we will equalize the denominators of the fractions.
(1/7) × 2 = 2/14
Then we can solve this equation.
2 2/14 - 1/14 = 2 1/14
Answer:
Revenue and Expense = $230
No. of attendees: 10
Step-by-step explanation:
Let n be the no. of attendees
Expense = 50 + 18n
Revenue = 23n
Break even when:
50 + 18n = 23n
50 = 5n
n = 10
23n = 230
Answer:
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Step-by-step explanation:
Given
Given that the function f(x) and g(x) are inverse functions.


To determine
Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
<u>Determining the inverse function of f(x) </u>
A function g is the inverse function of f if for y = f(x), x = g(y)

Replace x with y

Solve for y

Therefore,
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values:
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27 = 8 24/27 = 8 8/9