11-3 and 11-4 are both the same problem. Only the names and the numbers
are changed, but the process is exactly the same in both problems.
<em><u>11-3)</u></em>. If Andy joins the health club, he will pay $34.50 every month.
How many months are in year ? Over here where I come from, we get
12 months each year.
Andy will pay $34.50 twelve times.
All together, he will spend (12) x ($34.50) = $414 on membership.
<em><u>11-4)</u></em>. Julie rides her bike 5 times a week.
34.75 miles on Monday
34.75 miles on Tuesday
34.75 miles on Friday
34.75 miles on Saturday
34.75 miles on Sunday.
How many 7 total miles does she ride each week ?
(5) times (34.75) = 173.75 miles
The permutation equation is true for all integers n ≥ 3
<h3>How to prove the equation?</h3>
We have:
Apply the following permutation formula
So, we have:
Evaluate the difference
Expand
Multiply through by (n - 3)!
Expand
Divide through by n!
Take the LCM
Evaluate the like terms
Both sides of the equations are the same.
Hence, the permutation equation is true for all integers n ≥ 3
Read more about permutation at:
brainly.com/question/11732255
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Answer:
120x4
Step-by-step explanation:
Answer:
Option (A) and (C).
Step-by-step explanation:
Prime polynomial can't be written as a product of lower degree polynomials.
(A)
=8x²-6x-4x-3
=2x(4x-3)-1(4x+3)
Here we can't write the polynomial as a product of lower degree.
Therefore it is a prime polynomial.
(B)
8x²+2x-3
=8x²+6x-4x-3
=2x(4x+3)-1(4x+3)
=(4x+3)(2x-1)
Therefore it is not a prime polynomial.
(C)
8x²-6x-3
Therefore it is a prime polynomial.
(D)
8x²+23x-3
=8x²+24x-x-3
=8x(x+3)-1(x+3)
=(x+3)(8x-1)
Therefore it is not a prime polynomial.