Answer: (3b + 5)(3b - 5)
Because both terms, 9b² and 25, are perfect squares, you can factor by taking the square roots of both terms.
The square root of 9b² is 3b (3b × 3b = 9b²).
The square root of 25 is 5 (5 × 5 = 25).
9b² - 25 has a negative, so the factored expression would be
(3b + 5)(3b - 5). The signs (+ and -) alternate in this case because the expression, 9b² - 25, has no middle term.
You can check your work by using FOIL. See the attachment below.
F irst
O utside
I nside
L ast
Answer:
b
Step-by-step explanation:
count two up, and 5 to the right
<h2>
Answer with explanation:</h2>
The number of letters in word "ALGORITHM" = 9
The number of combinations to select r things from n things is given by :-

Now, the number of combinations to select 6 letters from 9 letters will be :-

Thus , the number of ways can six of the letters of the word ALGORITHM=84
The number of ways to arrange n things in a row :
So, the number of ways can the letters of the word ALGORITHM be arranged in a be seated together in the row :-

If GOR comes together, then we consider it as one letter, then the total number of letters will be = 1+6=7
Number of ways to arrange 9 letters if "GOR" comes together :-

Thus, the number of ways to arrange 9 letters if "GOR" comes together=5040
We have that
<span>p(t)=-3t^2+18t-4
using a graphing tool, we can see the maximum of the graph
(see the attached figure)
A) </span><span>In what year of operation does Mr. Cash’s business show maximum profit?
</span>
Mr. Cash’s business show maximum profit at year 3 (maximum in the parabole)
<span>B) What is the maximum profit?
23 (hundred of thousand of dollars) = 2.300.000 dollars
</span>c) What time will it be two late?
(This is the time when the graph crosses zero and the profits turn into losses )
5.77 years, or an estimate of about 69 months.