A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
Answer:
susan's: 10/3
Bonnie's:5
Step-by-step explanation:
Answer:
(X+2) (X-2) . This is the final answer
Step-by-step explanation:
Solving f(x) = x^2 - 4
A^2 - B^2 is a special case where the original equation before it was foiled is
(A + B) (A - B) because the middle terms will cancel out when foiled.
This means that the equation can be written as
(X + 2)(X - 2) = 0
Each of these you will then set equal to 0 and then solve
X + 2 = 0, X - 2 = 0
X = -2, 2
I hope this helps you! let me now if its right ok <3 :)
I like the substitution method. Which is when you make one equation equal only x or y and plug it into the other equation)
There is also the graphing method. If you graphed it, it might not be quite as accurate (at least on hand, on computer you would be pretty exact)
Then there is the elimination method. You multiply one of the equations by a coefficient so that you can eliminate x or y from the equation.
56 oz
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