Answer:
a)64
b)96
Step-by-step explanation:
For this we calculate the number of rows, 32, as 2+3 is 5, and 160/5 is 32. Then we know that there are 32 rows, and in each row are 2 left seats and 3 right seats, so we multiply 32 by both numbers for the answers.
The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.
![|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x](https://tex.z-dn.net/?f=%7Cx%7C%3D%5Cbegin%7Bcases%7Dx%26%5Ctext%7Bfor%20%7Dx%5Cge0%5C%5C-x%26%5Ctext%7Bfor%20%7Dx%3C0%5Cend%7Bcases%7D)
For the equation
-3 + 4 |2<em>x</em> - 5| = 14
rearrange terms to get
|2<em>x</em> - 5| = 17/4
Now,
• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then
2<em>x</em> - 5 = 17/4
• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that
-(2<em>x</em> - 5) = 17/4, or
2<em>x</em> - 5 = -17/4
In the first case,
2<em>x</em> - 5 = 17/4
2<em>x</em> = 17/4 + 5 = 37/4
<em>x</em> = 37/8
In the second case,
2<em>x</em> - 5 = -17/4
2<em>x</em> = -17/4 + 5 = 3/4
<em>x</em> = 3/8
319049
as 100,042 + 98,117 + 120,890 = 319,049
Answer:
f(n + 1) = f(n) + 0.75
Step-by-step explanation: