Answer:
(2x +1 ) (x -5 )
Step-by-step explanation:
2x^2-9x-5
(2x ) (x )
The factors of 5 are 1 and 5
One will be positive and one is negative, but which one
We want to get to -9 in the middle
2* -5 = -10 +1 = -9
(2x +1 ) (x -5 )
Answer:
f(x) = (2/3)x + 4
Step-by-step explanation:
An equation in function is found by isolating y, and changing "y" to "f(x)".
Isolate y by moving everything else to the other side
What is done to one side must be done to the other
6y - 4x = 24
6y - 4x + 4x = 24 + 4x (add 4x to both sides. -4x +4x cancels out)
6y = 24 + 4x
6y/6 = 24/6 + 4x/6 (divide both sides by 6)
y = 4 + (2/3)x (simplify)
y = (2/3)x + 4 (rearrange to a familiar format "y=mx+b")
f(x) = (2/3)x + 4 (replace y with f(x))
Twice a number can be written as 2n.
Four times the number can be written as 4n.
If the sum of 2n and 4n equals 54, then:
6n = 54
Divide both sides by 6 to solve for n:
n = 9
Eleven subtract nine is two; eight adding three is eleven (2,11)