Answer:

Step-by-step explanation:
intercepts the x-axis at these 2 points:

⇒ 6 and 1/2 are roots ie; if you insert
or
into the equation of g(x) you will obtain a 0.

now in order for 0 to appear we should have 
now in order for 0 to appear we should have 
but
doesn't appear in any of these, but its multiple of 2 is there:

Therefore the function;

Answer:
The volume of the pyramid is 
Step-by-step explanation:
we know that
The volume of the triangular pyramid is equal to

where
B is the area of the triangular base
H is the height of the pyramid
step 1
Find the area of the base B

we have


substitute

step 2
Find the volume
we have


substitute


Answer:
The equivalent expression
Step-by-step explanation:
Assuming your expression is
, then we can use the power property of logarithm , which is
.
If we let a=15, b=2, and n=3
Then using the power property of logarithm will give us:

Using the power property of logarithm, the equivalent expression is 
If

then we have

By Fermat's little theorem, if

is not divisible by a prime

, then

This works for

; in this case, we would have