Answer:

Step-by-step explanation:
They ask: f(x) - g(x) =


Answer:
about 41.14 pages per day
Step-by-step explanation:
She wants to read 576 pages in 14 days
Take the number of pages and divide by the number of days
576/14=41.14285714 pages per day
Let
and
. Then


and


The expression under the square root can be rewritten as

Recall that

so that

and assuming
and
, we end up with

so that

as required.
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)