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
Answer:
A. 3, 0, -3, -6
Step-by-step explanation:
The sequence with constant first differences is an arithmetic sequence. The sequence of A has a common difference of -3, so is an arithmetic sequence.
Answer:
Step-by-step explanation:
We see that the two terms share an x, so we can pull that out:
Now notice that we have a difference of squares (
). Given a difference of squares, 
, this can always be factored into 
. We can use this in this case: 
.
So, our final factorized form is: .
Hope this helps!
Answer:
A) 159.135 = X
B) 2,531.25 = X
C) 6,187.5 = X
D) 831,947.46 = X
Step-by-step explanation:
The following investments are required to be calculated:
A) $ 150 at 3% interest for 2 years
B) $ 750.00 at 1/2% interest for 3 years
C) $ 2,250.00 at 1 3/4% interest for 1 year
D) $ 2,550.00 at 3 1/4 interest for 4 years
Therefore, the following calculations must be performed:
A)
150 x (1 + 0.03) ^ 2 = X
150 x 1.03 ^ 2 = X
159.135 = X
B)
750 x (1 + 0.5) ^ 3 = X
750 x 1.5 ^ 3 = X
2,531.25 = X
C)
2,250 x (1 + 1.75) = X
2,250 x 2.75 = X
6,187.5 = X
D)
2,550 x (1 + 3.25) ^ 4 = X
2,550 x 4.25 ^ 4 = X
831,947.46 = X
The area is 47.5 feet squared.
