Step-by-step explanation:

Answer:
see attached image
Step-by-step explanation:
F(x) = 2x + 5 is a linear graph because the exponent on x is 1. I tell my students that think of graphs having one less turn/corner that the value of the highest exponent. so since 2x has a exponent of 1, 1-1 =0 so it has no turns or its a straight line.
this has a slope of 2 or 2/1 or up 2 and right 1 from the y intercept which is 5
so mark 5 on the y axis and a from there go up 2 and right 1 and make another point. Join these points and you have your graph
and
g(x) = (x-5)/2 is its inverse and is found:
F(x) = 2x + 5 write it this way y = 2x + 5
now swap the x and y x = 2y - 5
solve for y
x = 2y + 5
- 5 -5
x - 5 = 2y
/2 /2
(x-5)/2 = y
it can be written as y = x/2 - 5/2
and graphed the same way as above with a 1/2 slope and -5/2 y intercept
Log of 1 / 100 is - 2 because 10^( - 2 ) = 1 / 10^2 = 1 / 100 ;
The absolute value equation representing the length of the nail is :
A nail of length 1.05 inches is unacceptable
Actual Length of nail = 1 inch
Allowable variation = 1/32 inches
The minimum allowable length :
actual length - allowable variation
The maximum allowable length :
Actual length + allowable variation
The length of X, of the nail must be follow the equation :
Minimum ≤ X ≤ maximum

A nail of length 1.05 inches
Maximum nail length = 1 1/32 = 1.031
1.05 > 1.031 ; hence, it is greater than the maximum allowable length and hence, Unacceptabe
Learn more : brainly.com/question/24656203