Answer:
See below
Step-by-step explanation:
a) Create a table containing a few values of x and y
<u> x </u> <u> y </u>
-2 -⅓
-1 ⅓
0 1
1 1⅔
2 2⅓
(b) Draw the graph
Plot the points and draw a straight line through them. Make it a <em>dashed line,</em> because the line does not include the points.
Your graph should look like Fig. 1.
<em>(d) Check a point to see if it satisfies the inequality.
</em>
An easy one to check is the origin, (0, 0).
0 < ⅔(0) + 1
0 < 1
The area <em>below </em>the graph satisfies the inequality.
<em>(e) Shade in the area below the graph
</em>
This shows that all points in that area satisfy the inequality. The final graph should look like Figure 2.
#1: 214 tickets split 9 ways does not work out to an integer number. Nobody wants 2/3 of a ticket, right?
So the trick here is to determine the first multiple of 9 greater than 214.
Note that 214/9 = 23.8. No good. Not an integer.
Multiply 23 by 9; we get 207. Multiply 24 by 9; we get 216.
So, given that we have 214 tickets already, we need 2 more, to make 216.
Check: Is 216 divisible by 9 without a remainder? Yes. Then each of the 9 students will get 24 tickets.
The rest of the problems are somewhat similar to this one.
See whether you can do the next one, #2.
If you'd share your results, I'd be happy to comment on what you've done.
Answer:
h = 7 degrees
Step-by-step explanation:
To find <em>h</em>, we know that it is positive because it increases in value, not decreases:
h = 65 - 58
h = 7
