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
Answer: 17>x greater than or equal to symbol 9
Step-by-step explanation: if it must be less than 17 you put less than and it can be no less than 9 meaning it can be greater than or equal to 9
There are 12 inches in one foot. 120 x 12 = 1,440 inches. The correct ratio to be placed is the 5th one (aka 12 inches over 1 foot).
<span>Half-span is half of span. Pitch of the roof is calculated as rise/(span/2). In this case, rise is 8 feet and span is 30 feet. So, the pitch can be calculated as 8/(30/2) or 8/15. Pitch is normally represented as the number of inches of rise per foot. So, to reduce 8/15 to match a foot, we multiply it by 12. So, (8/15) * 12 gives us 6.4 inches of rise per foot.</span>