To factor quadratic equations of the form ax^2+bx+c=y, you must find two values, j and k, which satisfy two conditions.
jk=ac and j+k=b
The you replace the single linear term bx with jx and kx. Finally then you factor the first pair of terms and the second pair of terms. In this problem...
2k^2-5k-18=0
2k^2+4k-9k-18=0
2k(k+2)-9(k+2)=0
(2k-9)(k+2)=0
so k=-2 and 9/2
k=(-2, 4.5)
Answer:

Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to

we have
the points (−1,12) and (1,2)
substitute



step 2
we know that
The equation of the line in slope intercept form is equl to

where
m is the slope
b is the y-intercept
we have


substitute in the linear equation and solve for b


therefore

Plug in -1 for x
h(-1) = 3(-1) + 4
h(-1) = -3 + 4
Solution: h(-1) = 1
In the given question , we have a function given , which is

And we need to find the value of y when x=5.
So we substitute 5 for x and solve for y, that is

And on rounding to the nearest tenths, we will get

So when x=5, y=0.4