Step 1 is to factor everything!
After factoring you will get:
x-5 over (x+2)(x+5) times x+4 over (x-3)(x+4)
Step 2 is to remove the duplicate factors!
Remove x+4 and x+5
x-5 over (x+2)(x-5) times 1 over x-3 = 1 over x+2 times 1 over x-3
Step 3 is to multiply the numerators and the denominators.
End result is 1 over (x+2)(x-3)
45*31=1,395
that would be 1,395 gallons if water used in december.
The first five terms of the sequence are -8, -5/8, 0, 5/64 and 16/125
<h3>Recursive form of a sequence</h3>
Given the nth term of a sequence expressed as:
an= n^2-9/ n^3
Determine the first five terms
If n = 1
a1 = 1^2-9/ 1^3
a1 = -8/1
a1 = -8
If n = 2
a2 = 2^2-9/ 2^3
a2 = -5/8
If n = 3
a3= 3^2-9/ 1^3
a3 = 9-9/3^3
a3 = 0
If n = 4
a4 = 4^2-9/ 4^3
a4= 16-9/64
a4 = 5/64
If n = 5
a5 = 5^2-9/ 1^3
a5 = 25-9/5^3
a5 = 16/125
Hence the first five terms of the sequence are -8, -5/8, 0, 5/64 and 16/125
Learn more on recursive function here: brainly.com/question/489759
#SPJ1
Answer:
Function
Step-by-step explanation:
