Alright, then I will try even though this doesn't make sense to me. Thanks for the help!

--7H3_5H4D0W

6. A player chooses one of the numbers 1 through 4. After the choice has been made, two regular four-sided (tetrahedral) dice are rolled, with the sides of the dice numbered 1 through 4. If the number chosen appears on the bottom of exactly one die after it has been rolled, then the player wins 1 dollar. If the number chosen appears on the bottom of both of the dice, then the player wins 2 dollars. If the number chosen does not appear on the bottom of either of the dice, the player loses 1 dollar. What is the expected return to the player, in dollars, for one roll of the dice?

Answer:

Is all of "(x+2)^3 +3" under the radical or just "(x+2)^3"?

Oops Sorry! I just post to much here that I lose track of it sometimes. Thanks.

If we continue this same rule for the next term in the sequence then...

The 8th term would be: 8th term = 87 + 4(7) = 115

Each successive number is "two times three less" means "six less"

1. 0, -6, -12, -18, -24, -30 Common difference: d = -6

2. 3, -3, -9, -15, -21, -27

3. 30, 24, 18, 12, 6, 0

You can choose a starting point so that the first 5 numbers in your sequence are all positive just by choosing a integer greater than 24 just enough for positive numbers in the continuing squence.

Thank You, CPhill!! Very Cool.

Got it. Thanks, CPhill!

a. -1, -3, -5, -7, -9

f(3) = 2(3) - 7 = 6 - 7 = -1

f(2) = 2(2) - 7 = 4 - 7 = -3

f(1) = 2(1) - 7 = 2 - 7 = -5

f(0) = 2(0) - 7 = 0 - 7 = -7

f(-1) = 2(-1) - 7 = -2 - 7 = -9

b. 125, 25, 5, 1, 0.2

g(3) = 5^{3} = 125

g(2) = 5^{2} = 25

g(1) = 5^{1} = 5

g(0) = 5^{0} = 1

g(-1) = 5^{-1} = 0.2

Thanks, CPhill, I'm not totally sure about it either but its the best I have for now. Can you at least solve c.) and d.) here? https://web2.0calc.com/questions/on-the-axes-below-graph-y-3-x-confused

I understand (a) and (b) of how the graphs are reflected from one another but what about (c) and (d)?

Thanks, CPhill just what I needed!

The math problem is unreadable with symbols. Try rewriting it normally.

Answer: https://web2.0calc.com/questions/please-help_149