Two-Variable Statistics:Question 2
1 answer:
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Answer:
(59) = 20
Step-by-step explanation:
(x) is the inverse of f(x)
to find the inverse function, let f(x) = y and rearrange to make x the subject.
y = 3x - 1 ( add 1 to both sides )
y + 1 = 3x ( divide both sides by 3 )
= x
change y back into terms of x with x = (x) , then
(x) =
, then
(59) =
=
= 20
we know that
The volume of the prism is equal to
where
B is the area of the base
h is the height of the prism
Step 1
<u>Find the area of the rectangular base</u>
we know that
the area of a rectangle is equal to
In this problem we have
Step 2
<u>Find the height of the prism</u>
Applying the Pythagoras Theorem
solve for h
Step 3
<u>Find the volume of the prism</u>
The volume of the prism is equal to
substitute the values
therefore
<u>the answer is</u>