Answer:
$10 = 4x
Step-by-step explanation:
The "x" would represent how much the apples would cost. So next you would divide both sides by 4x and then it would leave you with 2/5.
For y=x^2-6x-11
complete the square
so roots
set y=0
0=x^2-6x-11
group x terms
0=(x^2-6x)-11
take 1/2 of linear coefient (-6) and square it
-6/2=-3, (-3)^2=9
add positive and neative to inside of parenthasees
0=(x^2-6x+9-9)-11
complete square
0=((x-3)^2-9)-11
expand
0=(x-3)^2-9-11
0=(x-3)^2-20
add 20 to both sides
20=(x-3)^2
sqrt both sides
remember positive and negative roots
+/-2√5=x-3
add 3 to both sides
3+/-2√5=x
so
x=3+2√5 and 3-2√5
is conservative if we can find a scalar function
such that
. This is equivalent to solving the system of PDEs,


Integrate both sides of the first PDF with respect to
:

where
is some function independent of
. Then differentiatng with respect to
, we have


and so
is indeed conservative, with

Answer:
The equation of this line would be y = -8
Step-by-step explanation:
Since y = 9 is a horizontal line, the parallel line must also be horizontal. All horizontal lines can be written as y = (a number). That number can be found as the y-coordinate in the ordered pair, which is -8.
y = -8