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
The population is tripling each minute
Answer:
.
Step-by-step explanation:
It is given that the sum of 10 and one-third of a number is 25.
Let as consider n be the unknown number.
One-third of a number 
Sum of 10 and one-third of a number 
The sum of 10 and one-third of a number is 25. It can be written as
Therefore, the required equation is .
Answer:
y=-2/5x-3
Step-by-step explanation:
the slope is m and the y intercept is b
Answer:
y = -4/3x + 6
Step-by-step explanation:
1. 3y - 4x + 3y = 18 - 3y
2. 4x = -3y + 18
3. 18 - 4x = -3y + 18 - 18
4. <u>-</u><u>3</u><u>/</u><u> </u><u>-3y = 4x - 18</u><u> </u><u>/</u><u>3</u>
5. y = -4/3x + 6
