Answer:
Step-by-step explanation:
2x²+4x -16 = 2(x²+2x-8); factor 2
= 2(x+4)(x-2) ;factor the quadratic equation
4x²-16 = 4(x²-4) ; factor 4
=4(x²- 2²) ; rewrite 4 as 2²
= 4(x-2)(x+2); now use the difference of two squares a²-b²=(a-b)(a+b)
so now we have:
; simplify (x-2) from numerator and denominator
and 2/4 as 1/2
Option: C is the correct answer.
C.
Recursive Formula--
It is the formula which is used to represent the nth term of a sequence in terms of (n-1)th term of the sequence.
Here we are given a table of values by:
n f(n)
1 4
2 20
3 100
i.e. when n=1 we have:
Also,
Also,
Hence, the recursive formula is:
Answer
Find out the what is her monthly fixed charge .
To prove
Let us assume that the cost per mintues = x
Let us assume that the monthly charge be = y
As given
n Chatty Cathy’s cell phone plan she pays for minutes used plus a fixed monthly charge.
For 500 minutes she pays $35 total
Than the equation becomes
500x + y = 35
As given
for 1500 minutes used she pays $55 total.
Than the equation becomes
1500x + y = 55
Subtracted 500x + y = 35 from 1500x + y = 55
1500x - 500x + y - y = 55 - 35
1000x = 20
x = $0.02
Put in the 500x + y = 35
500 × 0.02 + y = 35
10 + y = 35
y = 35 - 10
y = $25
Therefore the monthly fixed charge be $25.