Answer:
1) 4x^(2)+11x+6 Factored--> (4x+3) (x+2)
2) 4x^(2)+10x+6 Factored--> (2x+3)(2x+2)
3) 4x^(2)+14x+6 Factored--> (x+3)(4x+2)
Step-by-step explanation:
Factor: 4x^(2)+11x+6 (<em>step by step)</em>
<em>1) Split the second term (11x) into two terms</em>
<em> </em>4x^2 + 8x + 3x + 6
<em>2)Factor out common terms in the first two terms, then in the last two terms.</em>
4x(x + 2) + 3(x + 2)
<em>3) Factor out the common term x + 2</em>
<em> </em> (x + 2) (4x + 3)
Repeat the above steps for similar questions!
24 of the 360 students are likely to win a prize.
There is a 1/15 chance of winning a prize.
The probability would be 50%
X=12
(10(12)-20) = 120-20 = 100
(6(12)+8) = 72+8=80
100+80 = 180
Let p represent # of pages in the book.
Then (1/4)p = 67. Solve for p by mult. both sides of this equation by 4:
p = 268 (pages)