Answer:The graph f(x) is shifted 2 units to left and shifted down by 6 units to form the graph r(x) .
Step-by-step explanation:
You didn’t post the question. If you post the questions, I can help.
Also, I think you can search the question and find the answers… I remember doing this one.
Answer:
The volume of soil in Darren's planter box is 56 feet³
Step-by-step explanation:
The formula of the volume of a rectangular box is V = l × w × h, where l is its length , w is its width and h is its height
∵ Darren's planter box is seven feet long and four feet wide
∴ l = 7 feet
∴ w = 4 feet
<em>The volume of the soil is equal to the volume of the box using the height of the soil, because the soil takes the shape of the box, so they have the same dimensions of the base</em>
∵ Darren fills the planter box with soil to a height of two feet
∴ h = 2 feet
- Substitute the values of l, w and h in the formula of the volume
∵ V = 7 × 4 × 2
∴ V = 56 feet³
The volume of soil in Darren's planter box is 56 feet³
Answer:

Step-by-step explanation:
The dealing of the cards can be seen in the following way:
We first have to choose which 7 cards are going to be dealt to the 1st player. So we have to pick 7 cards out of the 52 available cards. This can be done in
ways. Now that we have chosen which 7 cards are going to be dealt to the 1st player, we have to choose which 2 of them are going to be the hidden ones. So we have to pick 2 cards out of the 7 cards to be the hidden ones. This can be done in
ways. At this point we now know which cards are being dealt to the 1st player, and which ones are hidden for him. Then we have to choose which 7 cards to deal to the 2nd player, out of the remaining ones. So we have to pick 7 out of 52-7=45. (since 7 have been already dealt to the 1st player). This can be done in
. Then again, we have to pick which 2 are going to be the hidden cards for this 2nd player. So we have to pick 2 out of the 7. This can be done in
ways. Then we continue with the 3rd player. We have to choose 7 cards out of the remaining ones, which at this point are 52-7-7=38. This can be done in
. And again, we have to choose which ones are the hidden ones, which can be chosen in
ways. Finally, for the last player, we choose 7 out of the remaining cards, which are 52-7-7-7=31. This can be done in
ways. And choosing which ones are the hidden ones for this player can be done in
ways. At the end, we should multiply all our available choices on each step, to get the total choices or total ways to deal the cards to our 4 players (since dealing the cards is a process of several steps with many choices on each step).
