The volume of the pool is 1,620 ft cubed
Answer:
Option B is correct
Step-by-step explanation:
We need to find g(h(f(x))
We first find h(f(x))
f(x) = x-3/x
Putting value of f(x) in place of x in h(x)
h(x) = 2x+1
h(f(x)) = 2(x-3/x) + 1
= 2(x-3/x) + 1
= 2x -6 /x +1
= 2x-6 +x/x
= 3x-6/x
Now, putting value of h(f(x)) in g(x)
g(x) = x+3
g(h(f(x)))= (3x-6/x) + 3
= 3x-6/x + 3
= 3x-6+3x/x
= 6x-6/x
So, Option B is correct.
Answer: He would pay 45% of the original price.
Step-by-step explanation:
Since we have given that
Let the original price of item be 'x'
Rate mark down by 25%
Amount of marked down would be
Amount after marked down becomes
Additional clearance items by 40% off
Amount of additional off is given by
After additional off, the amount becomes,
Hence, he would pay 45% of the original price.
Answer:
9.8
Step-by-step explanation:
a geometric sequence means we multiply the previous element by a certain factor to get the next element.
so, all we need to do is determine the factor used to go from one element in the list to the next.
a1 = 9
a2 = 88.2
a3 = 864.36
a4 = 8470.728
the simplest case is usually the case from a1 to a2.
a2 = a1×f
88.2 = 9×f
f = 88.2/9 = 9.8
we are finished here.
but we can control our result and verify with the other given elements.
88.2 × 9.8 = 864.36
and that is a3. fits.
864.36 × 9.8 = 8470.728
and that is a4.
so, all fits, we are correct.
Answer:
8ab^2(3ab - 2).
Step-by-step explanation:
24a^2b^3 - 16ab^2
= 8ab^2(3ab - 2).
