Answer:
rectangular prism, 6 faces, 8 vertices
Step-by-step explanation: You have to substitute the numbers in for x & y
(0, -5): YES
3x - 4y - 8 = 12
3(0) - 4(-5) - 8 = 12
0 + 20 - 8 = 12
20 - 8 = 12
12 = 12
(4, -2): YES
3x - 4y - 8 = 12
3(4) - 4(-2) - 8 = 12
12 + 8 - 8 = 12
20 - 8 = 12
12 = 12
(8, 2): NO
3x - 4y - 8 = 12
3(8) - 4(2) = 12
24 - 8 = 12
16 = 12
(-16, -17): YES
3x - 4y - 8 = 12
3(-16) - 4(-17) - 8 = 12
-48 + 68 - 8 = 12
20 - 8 = 12
12 = 12
(-1, -8): NO
3x - 4y - 8 = 12
3(-1) - 4(-8) = 12
-3 + 32 = 12
29 = 12
(-40, -34): NO
3x - 4y - 8 = 12
3(-40) - 4(-34) - 8 = 12
-120 + 136 - 8 = 12
16 - 8 = 12
8 = 12
Hope this help you!!! :)
We have
-2x-3y <12
For this case what you should do is to graph the following straight line:
-2x-3y = 12
Then, the solution will be the shaded region that satisfies the following inequality:
-2x-3y <12
In the shaded region you will find all the solution points.
Answer:
See attached image
The answer is 33. This is because there are 3 colours and the probability that the spinner will land on each colour is 1/3 (one third). To work out the number of times it will land on blue you have to do the probability of it landing on blue (1/3) multiplied by the number of times spun (100) which gives approximately 33.