Answer:
see explanation
Step-by-step explanation:
(a)
Given
2k - 6k² + 4k³ ← factor out 2k from each term
= 2k(1 - 3k + 2k²)
To factor the quadratic
Consider the factors of the product of the constant term ( 1) and the coefficient of the k² term (+ 2) which sum to give the coefficient of the k- term (- 3)
The factors are - 1 and - 2
Use these factors to split the k- term
1 - k - 2k + 2k² ( factor the first/second and third/fourth terms )
1(1 - k) - 2k(1 - k) ← factor out (1 - k) from each term
= (1 - k)(1 - 2k)
1 - 3k + 2k² = (1 - k)(1 - 2k) and
2k - 6k² + 4k³ = 2k(1 - k)(1 - 2k)
(b)
Given
2ax - 4ay + 3bx - 6by ( factor the first/second and third/fourth terms )
= 2a(x - 2y) + 3b(x - 2y) ← factor out (x - 2y) from each term
= (x - 2y)(2a + 3b)
The percent of increase from 10 to 12 is 20 %. 10 x 1.2 = 12.
Hope This Helps You!
<span>Good Luck Studying :)</span>
A= P(1 + r/n) ^nt
21000=7000(1+0.055/2)^1t
t = 20.52 years
Answer:
idk
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
You add all the cards in the boxes = 3+2+7 = 12
Probability of picking up a yellow or blue card = 2+7 =9
Hence:
9/12
simplify: 3/4
