we are given
martians =4
plutonians =3
jupiterians=5
so, total number of seats =4+3+5=12
number of seating arrangement for martians is 4!
number of seating arrangement for plutonians is 3!
number of seating arrangement for jupiterians is 5!
total number of seating arrangement is 12!
so, we get
possible seating arrangements are
.............Answer
What’s the question though lol
Line 1 slope is -1
Line 2 slope is 4/5
Answer:
4(k - 3)(3k + 5)
Step-by-step explanation:
Given
12k² - 16k - 60 ← factor out 4 from each term
= 4(3k² - 4k - 15) ← factor the quadratic
Consider the factors of the product of the coefficient of the k² term and the constant term which sum to give the coefficient of the k term
product = 3 × - 15 = - 45 , sum = - 4
Factors are - 9 and + 5
Use these factors to split the middle term
3k² - 9k + 5k - 15 → ( factor the first/second and third/fourth terms
= 3k(k - 3) + 5(k - 3) ← factor out (k - 3)
= (k - 3)(3k + 5)
Hence
12k² - 16k - 60 = 4(k - 3)(3k + 5) ← in factored form
Quotient is the correct answer
