There are 48 ways to do this.
We will have 7 identical chairs around the table.
<span>We need to seat Pierre, Rosa and Thomas so that no two of them are together. This basically means alternating them between the other people at the table. Let Pierre sit first. Each seat is identical so he sits in one way. Now each seat is distinct relative to Pierre. There are 4 seats identified for the other members of the group and 2 for the Rosa and Thomas. The 4 other members can occupy the 4 distinct seats in 4! ways and Rosa and Thomas can occupy the 2 distinct seats in 2! ways. This gives us 4!*2!=4(3)(2)(1)(2)(1)=48.</span>
You can't. Knowing the volume doesn't tell you the dimensions.
There are an infinite number of different rectangular prisms, all
with different dimensions, that all have the same volume.
Here's an example. Let's say I have a rectangular prism and its
volume is 64.
The dimensions could be . . .
1 x 1 x 64
1 x 2 x 32
1 x 4 x 16
1 x 8 x 8
2 x 2 x 16
2 x 4 x 8
4 x 4 x 4 .
If I only tell you the volume, there is no way to figure out the dimensions.
The range is y values and domain is x values
y intercept here is 5 and since the function is increasing thus the range would be all real values bigger than or equal to 5
And the domain would be all real numbers.
Step-by-step explanation:
r-5r-6s+8s-15
-4r+2s-15
= 2s-4r-15
Answer:
okay
vertex:(2,4)
domain: (-∞,∞)
range: [4,∞)
Step-by-step explanation:
to find the vertex from the equation
f(x) = (x − 2)² + 4
an easy way is to use the numbers given. so the vertex of this equation is x= 2 (because it is always the opposite of itself in the equation) and y= 4 because the point is going up 4.
to find domain is easy. domain is on the x-axis so the equation is a parabola so it has to points at the same direction. therefore it has a domain that goes from negative infinity to positive infinity.
lastly to find range, which is on the y-axis is to find from where the parabola starts and is pointing, either up or down. in this equation the vertex, which is also the starting point starts at 4 and continues to go on- to infinity.
ps i hope this helps.