The slope of a line on a graph describes how "steep" the curve is by using the rise divided by the run (y=mx+b). The slope on the line graph usually represents how much of an increase or decrease is occurring per each unit
The equation is
5x - 13 = 3x + 21
when solved, we get
x = 17
Change each of the fractions into decimals.
1/8 becomes 0.125
-1/7 becomes -0.143
and -0.02555
0.2
In order from least to greatest,
-0.143, -0.02555, 0.125, 0.2
OR
-1/7, -0.02555, 1/8 and 0.2
Given that sequence 1.77, 1.92,2.07 is arithmetic sequence.
Using that we have to find 31st term.
To find that we can use nth term formula of arithmetic sequence which is given by:

where n is the number of term so n=31
t_n indicates nth term
a_1 is the first term so a_1=1.77
r is the common difference which is given by difference of consecutive terms
then r=1.92-1.77=0.15
Now plug these values into above formula





Hence final answer is 6.27.
The absolute value transforms a negative number into a positive number.
For example
Let z be a real number, then:
| z | It will always be a positive number.
This means that:
If z is a negative number, then:
| z | = -z
If z is a positive number, then:
| z | = z
This means that for the expression the expression y = 2 | x-3 | +5
When x-3 > 0 then:
| x-3 | = x-3
When x-3 < 0 then:
| x-3 | = - (x-3)
Then we can divide the expression into two functions f (x) and g (x).
f (x) = 2 (x-3) +5
f (x) = 2x-6 + 5
f (x) = 2x-1
For

g (x) = 2 (-x + 3) +5
g (x) = -2x + 6 + 5
g (x) -2x +11
For
(x-3) < 0
x < 3