2x^2 + 28x + 98 =
2(x^2 + 14x + 49) =
2(x + 7)(x + 7) <==
I’m not sure but I’m commenting Bc I really need an answer I’m so sorry
The x-intercepts of a function are used to express the function into factored form:
From (1/2, 0)
(x - 1/2)
From (6, 0)
(x-6)
(x - 1/2) (x-6) = 0
(2x -1)(x-6) = 0
The function is:
B. g(x) = (x – 6)(2x – 1)
Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,

...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.

Divide both sides by 6.


Put k=9.1 in (i).

Substitute A=260 in the above equation.

Divide both sides by 9.1.



Therefore, she need to work extra about 29 hours to earn an additional $260.