Answer:
The inverse of f(x) is 
Step-by-step explanation:
To find the inverse of the function 
, perform the following steps:
1) do 
2) Solve the equation for the variable x.
3) exchange the variable x with the variable y
----> 
4) Change the variable y by 
Finally the inverse function is:
Answer:
x= -5/3 y-5
Step-by-step explanation:
Answer:
The correct answer is the last one.
Step-by-step explanation:
Variable data is any kind of information gathered that can be made into a chart or graph representing what was collected. In other words, the data collected must vary.
The first, second, and third answers cannot be made into a chart/graph as it would be a singular number, and not provide varying data (which is required to produce a graph/chart).
The last answer would be correct as one can create a chart as the data collected from that question would vary. For example, five family members could be born in July, six in August, and ten in October. The variable that is "varying" would be these months.
Hope this helps!
Answer:
32 
Step-by-step explanation:
Given:
- The slant length 10 units
- A right square pyramid with base edges of length 8
Now we use Pythagoras to get the slant height in the middle of each triangle:
= 
= 
units
One again, you can use Pythagoras again to get the perpendicular height of the entire pyramid.
= 
= 6 units.
Because slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. So we have the other dementions of the small right square pyramid:
- The height 3 units
- A right square pyramid with base edges of length 4
So the volume of it is:
V = 1/3 *3* 4
= 32
