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
I hope this helps you
90-8.5
90-40
50
36/5 will be simplified 144/20
Answer:
rectangular tables
Step-by-step explanation:
x: how many tables
a) 49x/49=800/49
x=16.3
so roughly 16 tables
b) 64x/64=800/64
x= 12.5
so roughly 12(you round to nearest even number when it is .5)
c) Now we will calcuate how many people will fit using the number of fitting capacity
=16 (8)
128
=12(12)
=144
Therefore, the rect tables will fit more people
Answer:
12 and 36
Step-by-step explanation:
x+3x=48
4x=48
divide by 4
x=12
48-12=36
