Answer:
5x^3 + 16x - 2y^3
Step-by-step explanation:
7x + y^3 + 7x^3 + 6x - 3y^3 - 2x^3 + 3x
group like terms
= 7x^3 - 2x^3 + 7x + 6x + 3x + y^3 - 3y^3
add similar items
= 5x^3 + 7x + 6x + 3x + y^3 - 3y^3
add similar items
= 5x^3 + 16x + y^3 - 3y^3
add similar items
= 5x^3 + 16x - 2y^3
#4
White block(s) = 2
Red block(s) = 1
Purple block(s) = 3
Total = 2 +1 + 3 = 6 blocks
a) P(white) =

P(red) =

P(purple) =

b)Not white block:
1 -

OR

Because, when they say no white blocks, we simply do not count them and add the rest to find that probability without white blocks.
c) The probability stays the same: lets say now we have
4 white blocks, 2 red, and 6 purple, total will be 12
P(white)=

which is still

d) We get two more blocks in the numerator: lets say we have 4 white blocks, 3 red, 5 purple (after adding 2 of each color), total will be 12
P(purple)=

(im not quite sure if my explanation here helps you though)
e) 1 more of white and purple, 5 more of red
white = 3, purple = 4, red = 6, total = 12
(you can either add 2 to white or purple but make sure you add 5 of red)
P(red)=

=
The range of the following relation R{(3,-2), (1, 2), (-1, -4), (-1, 2)} is O{-1.1,3) -1,-1,1.3 01-4, 2, 2, 2] {-4, -2, 2
maw [93]
Answer:
The range is -2,2,-4
Step-by-step explanation:
hope this helps
11. 6 + 5 * 2 + (-3)
6 + 10 - 3
16 - 3
13 <==
12. 67 + 84 - 12 * 4 / 16
67 + 84 - 48/16
67 + 84 - 3
148 <==
13. -5 * -6 - 25/5 - 2
30 - 5 - 2
23 <==
14. 18 - (9 + 3) + 2^3
18 - 12 + 8
14 <==
15. -24 / -6 * 2
4 * 2
8 <==
16. 8 [ (26 + 10) - 4(3 + 2)]
8 [ (36 - 4(5)]
8 [ 36 - 20 ]
8 [ 16 ]
128 <==
17. 6 * 3 / 9 * 2 + 1
18/9 * 2 + 1
2 * 2 + 1
4 + 1
5 <==
18. (9 - -4)(-8 - -7)
(9 + 4)(-8 + 7)
13 * -1
-13 <==
The diamond shape is formed when you graph these coordinates.