The equation relating length to width
L = 3W
The inequality stating the boundaries of the perimeter
LW <= 112
When you plug in what L equals in the first equation into the second equation, you get
3W * W <= 112
evaluate
3W^2 <= 112
3W <=

W <=

cm
Answer: 15.3 miles
Step-by-step explanation:
From the question, we are informed that Martin would like to start training to run a marathon and that first week he runs a total of 15 miles.
We are further told that he would like to run 0.3 more miles each week than the week before. There, the number of miles that Martin will run the second week will be:
= 15 miles + 0.3 miles
= 15.3 miles
Answer:
a_n = 3^(n -1)
Step-by-step explanation:
The n-th term of a geometric sequence with first term a1 and common ratio r is given by ...
a_n = a1·r^(n-1)
Your sequence has first term 1 and ratio r=3, so the sequence is given by ...
a_n = 3^(n -1)
_____
<em>Comment on sequences and series</em>
The sequences we commonly study are "arithmetic" and "geometric." Each of these has an explicit formula for the n-th term, based on the first term and the common difference or ratio. Similarly, each series (sum of terms of a sequence) also has a formula. That's 4 formulas to keep track of; not difficult. One of them, the formula for the n-th term of a geometric sequence, is shown above.
25 a² + 20 ab + 4 b²
for formula

find u,v such that: u.v = a
and u+v = b then group according to

=

factor out 5a from :

factor out 2b from :

=

factor out :

=

Refine:

hope this helps!.