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)
Answer:
6.
Step-by-step explanation:
If each assignment is worth -3, you can divide 18 (amount of points changed) by 3 (each assignment's affect) to get 6.
Answer: 0.8
Step-by-step explanation:
given data:
uncertainity = 4g
bias = 2g
solution:
σX =0.2 and σY = 0.4
σcX
= 3σX
= 4(0.2)
= 0.8
Answer:
f(n) = n/36
Step-by-step explanation:
The length of a string is given in yards, is a function f(n) of the length n in inches.
We have to write a function rule for this situation.
∵ 36 inches = 1 yard
∴ 1 inch = 1/36 (yard)
∴ n inches = n/36
and function representing the length will be
f(n) = n/36
