Answer:
(x+1)(2x+5)
Step-by-step explanation:
f(x) = 2x² + 7x + 5
Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.
a+b=7
ab=2×5=10
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.
1,10
2,5
Calculate the sum for each pair.
1+10=11
2+5=7
The solution is the pair that gives sum 7.
a=2
b=5
2x²+7x+5 as (2x²+2x)+(5x+5).
(2x²+2x)+(5x+5)
Factor out 2x in the first and 5 in the second group.
2x(x+1)+5(x+1)
Factor out common term x+1 by using distributive property.
(x+1)(2x+5)
It’s C! they distributed 12 to x and 4 to get 12x+48
The ratio would be 14:6
If you reduce it it would be 7:3
Step-by-step explanation:
18-6=12
4.5 the finest in a wide range is to make the best choice of
To find g(f(4)), work from the inside out.
f(4) is 4^2+3, or 16+3, or 19. Now, we must find g(19).
This is 19+5/19. This is already a mixed number, though if you want an improper fraction solution, we have:
361/19+5/19
Which simplifies to:
366/19
Therefore, 366/19 is the answer.
