Answer/Step-by-step explanation below:





<u><em>Kavinsky</em></u>
Answer: The average age is 7.1 years.
This problem is an example of when we need to take a weighted average. We simply can't just find the average of 5 and 8, because there are different children of each each.
To start, lets multiply the total number of children by their individual ages.
6 x 5 = 30 years
14 x 8 = 112 years
There are 142 years among the 20 years, so divide 142 by 20. This gives us an average age of 7.1 years.
The inverse is:

Further explanation:
Given function

<u>Step 1: Replacing f(x) with y</u>

<u>Step 2: Replacing x with y and y with x</u>

<u>Step 3: Solving the equation for y</u>

<u>Step 4: Replacing y with f-1(x)</u>

So, the inverse is:

Keywords: Functions, Inverse of function
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Answer:
The shape is plane, a rectangle
Step-by-step explanation:
The external figure, the cylinder is a rectangle in a two dimensional plane, so the cross section between two rectangles is also a rectangle
Answer:
x = 2
Step-by-step explanation:
The sum of the 3 angles in the triangle = 180°
Sum the 3 angles and equate to 180
6x + 15 + 90 + 63 = 180
6x + 168 = 180 ( subtract 168 from both sides )
6x = 12 ( divide both sides by 6 )
x = 2