Answer:
y=7x+4
Step-by-step explanation:
20/t=v and 12/t=(v-4) solve both for t
t=20/v and t=12/(v-4) since t=t
20/v=12/(v-4) cross multiplying...
20v-80=12v
8v-80=0
8v=80
v=10mph
The outbound speed was 10mph
Question:
What is the common ratio between successive terms in the sequence?
27, 9, 3, 1
Answer:
common ratio = 
Step-by-step explanation:
In a geometric progression, the common ratio, r, is the ratio of a term in the sequence to a preceding term in that same sequence. In other words, the common ratio is found by dividing a term by the term just before it. For example, if the geometric sequence is:
a, b, c, d...
The common ratio is found by any of the following;
r =
----------(i)
r =
-----------(ii)
r =
------------(iii)
Any of equations (i) through (iii) will give the common ratio of the sequence.
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Now, from the question, the given sequence is;
27, 9, 3, 1
To get the common ratio, just divide the second term (9) by the first term (27) i.e
r =
= 
OR
You can also divide the third term (3) by the second term (9). i.e
r =
= 
OR
You can choose to divide the fourth term (1) by the third term (3). i.e
r = 
Which ever adjacent terms you choose gives you the same result. Therefore, the common ratio of the given sequence is 
Answer: 27 x 3 − 270 x 2 + 900 x − 1000
Step-by-step explanation: Expand the expression.