(g + f)(x)
g(x) + f(x)
x - 1 + x^2 + 4
x^2 + x + 3
(g - h)(x)
g(x) - h(x)
3x + 1 - (2x - 2)
3x + 1 - 2x + 2
x + 3
Answer:
1.9
Step-by-step explanation:
The MAD is found by <em>finding the mean, then finding how far each number is to the mean, then finding the mean of that.</em>
The mean is: <em>(1 + 8 + 3 + 1 + 3 + 3 + 7 + 5 + 1 + 3)/10</em> = 35/10 = <em>3.5</em>
The distances of all of the numbers is <em>(absolute value of the difference between 3.5 and the number) </em>: <em>2.5, 4.5, 0.5, 2.5, 0.5, 0.5, 3.5, 1.5, 2.5, 0.5</em>
The mean of those is: <em>(2.5 + 4.5 + 0.5 + 2.5 + 0.5 + 0.5 + 3.5 + 1.5 + 2.5 + 0.5) /10</em> = 19/10 = 1.9
Answer:
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
Step-by-step explanation:
Given
1. When time is not more than 12 hours.
Base amount = P25
Additional = P5 per hour
2. When time is more than 12 hours
Fee = P100 one time payment
Represent (1) as a function of t.
p(t) = Base Amount + Additional * t
p(t) = 25 + 5 * t
P(t) = 25 + 5t --- when t ≤ 12
Represent (2) as a function
P(t) = 100 ---- when t > 12
So, the complete function is
p(t) = 25 + 5t if t ≤ 12
p(t) = 100 if t > 12
3. Reduction
For example,
11x - 3y = 69
-3x + 3y = 3
___________
8x + 0y = 72 => x = 72/8 => x = 9 => -27 + 3y = 3 => 3y = 30 => y = 30/3 => y = 10.